CN113935194B - Reliability analysis method and system for cutting pick of heading machine - Google Patents
Reliability analysis method and system for cutting pick of heading machine Download PDFInfo
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- 238000005520 cutting process Methods 0.000 title claims abstract description 207
- 238000004458 analytical method Methods 0.000 title claims description 33
- 238000006731 degradation reaction Methods 0.000 claims abstract description 279
- 230000015556 catabolic process Effects 0.000 claims abstract description 215
- 238000005299 abrasion Methods 0.000 claims abstract description 36
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- 238000005065 mining Methods 0.000 abstract description 8
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- 239000003245 coal Substances 0.000 description 19
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- E21C35/00—Details of, or accessories for, machines for slitting or completely freeing the mineral from the seam, not provided for in groups E21C25/00 - E21C33/00, E21C37/00 or E21C39/00
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Abstract
The invention relates to a method and a system for analyzing the reliability of a cutting pick of a heading machine. The comprehensive influence of natural abrasion and random load on the pick degradation process can be better reflected by constructing the integral reliability function model. In addition, in order to better reflect the influence of random impact on the natural degradation process, the invention provides an impact degradation quantity model which simultaneously considers impact strength, impact duration and variable rate accelerated degradation process in the impact duration, and a reliability function model generated based on the impact degradation quantity model is not only popularization of the existing model, but also can be applied to accurately analyzing the reliability of a component or a system which considers the impact strength, the impact duration and the variable rate accelerated degradation process in the impact duration, and can also provide guidance for the reliability improvement and design optimization of the cutting pick of the mining machinery.
Description
Technical Field
The invention relates to the technical field of data analysis of cutting teeth of a heading machine, in particular to a method and a system for analyzing the reliability of the cutting teeth of the heading machine.
Background
For mining machinery equipment, the cutting mechanism is a core component in the coal rock cutting process, wherein pick-shaped picks directly interact with coal rock, and the abrasion degree directly determines the working efficiency, the safety reliability and the service life of the mining machinery. According to rough statistics of researchers, 400-1300 picks are consumed for every ten thousand tons of coal in China, and if the average price of each pick is 100 yuan and the total annual coal yield is 40 hundred million tons, the annual funds consumed on the picks in the national coal industry are huge and are about 160-520 hundred million. If the reliability can be improved and the consumption can be reduced, great economic benefits can be generated.
At present, although the correlation between the degradation process and the impact strength is widely studied, no technical scheme for accurately analyzing the reliability of the cutting pick of the heading machine by considering the impact duration and the variable rate influence in the duration is available.
Disclosure of Invention
The invention aims to provide a reliability analysis method and a system for a cutting pick of a heading machine, which consider a variable acceleration degradation process, so as to improve the accuracy of reliability analysis of the cutting pick of the heading machine.
In order to achieve the above object, the present invention provides the following solutions:
a reliability analysis method for a cutting pick of a heading machine comprises the following steps:
acquiring the unit time abrasion loss, the impact amplitude and the impact duration of the cutting pick of the heading machine to be analyzed;
determining the degradation amount of the cutting pick of the heading machine according to the abrasion loss in unit time, the impact amplitude of the impact and the impact duration; the degradation amount of the heading machine pick comprises: degradation amount of the cutting pick of the heading machine in the natural abrasion degradation process, degradation amount of the cutting pick of the heading machine in the instantaneous degradation process caused by impact and degradation amount of the cutting pick of the heading machine in the speed acceleration degradation process caused by impact;
determining a probability density function based on the degradation amount; the probability density function includes: a first probability density function, a second probability density function, and a third probability density function;
determining a probability density function of the total degradation amount of the cutting pick of the heading machine according to the probability density function;
determining a reliability function of the cutting pick of the heading machine according to the probability density function and the probability density function of the total degradation amount of the cutting pick of the heading machine; the reliability function includes: the reliability function of the cutting pick of the heading machine when no impact occurs, the reliability function of the cutting pick of the heading machine when the impact frequency does not reach the preset frequency, and the reliability function of the cutting pick of the heading machine when the impact frequency reaches the preset frequency;
determining the integral reliability function of the cutting pick of the heading machine according to the reliability function;
and determining the abrasion degree of the cutting pick of the heading machine according to the integral reliability function of the cutting pick of the heading machine so as to generate a reliability analysis result of the cutting pick of the heading machine.
Preferably, the determining the degradation amount of the cutting pick of the heading machine according to the abrasion amount per unit time, the impact amplitude of the impact and the impact duration specifically comprises:
determining the degradation amount of the cutting pick of the heading machine in the natural wear degradation process based on the wear amount in unit time, and marking the degradation amount as a first degradation amount;
determining the degradation amount of the cutting pick of the heading machine in the transient degradation process caused by the impact based on the impact amplitude, and recording the degradation amount as a second degradation amount;
and determining the degradation amount of the cutting pick of the heading machine in the speed-variable acceleration degradation process caused by the impact based on the abrasion amount per unit time, the impact amplitude and the impact duration, and recording the degradation amount as a third degradation amount.
Preferably, the determining a probability density function according to the degradation amount specifically includes:
determining a first probability density function from the first degradation amount;
determining a second probability density function based on the second degradation amount;
and determining a third probability density function according to the third degradation amount.
Preferably, the determining the reliability function of the cutting pick of the heading machine according to the probability density function specifically includes:
determining the survival probability of the cutting pick of the heading machine according to the probability density function of the total degradation amount of the cutting pick of the heading machine;
determining a first reliability function according to the first probability density function; the first reliability function is a reliability function of a cutting pick of the heading machine when no impact occurs;
determining a second reliability function according to a probability density function of the total degradation amount of the cutting pick of the heading machine; the first reliability function is a reliability function of the cutting pick of the heading machine when the impact times do not reach the preset times;
determining a third reliability function based on the survival probability; the third reliability function is a reliability function of the cutting pick of the heading machine when the impact times reach the preset times.
Preferably, the probability density function of the total degradation of the cutting pick of the heading machine is f X (x|N(t)＝m)：
Wherein,as a first probability density function, +.>As a second probability density function, ">As a third probability density function, N (t) is the number of impact times, m is a positive integer, S 1 S, for degradation amount of cutting pick of heading machine in instantaneous degradation process caused by impact 2 To accelerate degradation of the cutting pick of the heading machine in the degradation process at a variable speed caused by impact, x 1 Is the degradation amount of the cutting pick of the heading machine in the natural wear degradation process.
Preferably, the overall reliability function of the heading machine pick is R (t):
R(t)＝R SF (t)+R SF (t)R HF (t)
wherein R is SF (t) is the reliability function of the cutting pick of the heading machine when no impact occurs, R SF (t) is the reliability function of the cutting pick of the heading machine when the impact times do not reach the preset times, R HF And (t) is a reliability function of the cutting pick of the heading machine when the impact times reach the preset times.
According to the specific embodiment provided by the invention, the invention discloses the following technical effects:
according to the reliability analysis method for the cutting teeth of the heading machine, provided by the invention, the comprehensive influence of natural abrasion and random load on the degradation process of the cutting teeth can be better reflected by constructing the integral reliability function model. In addition, in order to better reflect the influence of random impact on the natural degradation process, the invention provides an impact degradation quantity model which simultaneously considers impact strength, impact duration and variable rate accelerated degradation process in the impact duration, and a reliability function model generated based on the impact degradation quantity model is not only popularization of the existing model, but also can be applied to accurately analyzing the reliability of a component or a system which considers the impact strength, the impact duration and the variable rate accelerated degradation process in the impact duration, and can also provide guidance for the reliability improvement and design optimization of the cutting pick of the mining machinery.
In addition, the invention also provides a reliability analysis system of the cutting pick of the heading machine, which comprises the following steps:
the acquisition module is used for acquiring the unit time abrasion loss, the impact amplitude and the impact duration of the cutting pick of the heading machine to be analyzed;
the degradation amount determining module is used for determining the degradation amount of the cutting pick of the heading machine according to the abrasion amount per unit time, the impact amplitude of the impact and the impact duration; the degradation amount of the heading machine pick comprises: degradation amount of the cutting pick of the heading machine in the natural abrasion degradation process, degradation amount of the cutting pick of the heading machine in the instantaneous degradation process caused by impact and degradation amount of the cutting pick of the heading machine in the speed acceleration degradation process caused by impact;
a probability density function determining module for determining a probability density function according to the degradation amount; the probability density function includes: a first probability density function, a second probability density function, and a third probability density function;
the probability density function determining module is used for determining the probability density function of the total degradation of the cutting pick of the heading machine according to the probability density function;
the reliability function determining module is used for determining the reliability function of the cutting pick of the heading machine according to the probability density function and the probability density function of the total degradation amount of the cutting pick of the heading machine; the reliability function includes: the reliability function of the cutting pick of the heading machine when no impact occurs, the reliability function of the cutting pick of the heading machine when the impact frequency does not reach the preset frequency, and the reliability function of the cutting pick of the heading machine when the impact frequency reaches the preset frequency;
the overall reliability function determining module is used for determining the overall reliability function of the cutting pick of the heading machine according to the reliability function;
the reliability analysis result generation module is used for determining the abrasion degree of the cutting pick of the heading machine according to the integral reliability function of the cutting pick of the heading machine so as to generate the reliability analysis result of the cutting pick of the heading machine.
Preferably, the degradation amount determination module includes:
a first degradation amount determining unit configured to determine a degradation amount of the heading machine pick in a natural wear degradation process based on the wear amount per unit time, and record the degradation amount as a first degradation amount;
a second degradation amount determining unit configured to determine a degradation amount of the heading machine pick in an instantaneous degradation process caused by the impact based on the impact amplitude, and record the degradation amount as a second degradation amount;
and a third degradation amount determining unit for determining the degradation amount of the cutting pick of the heading machine in the process of the speed acceleration degradation caused by the impact based on the abrasion amount per unit time, the impact amplitude and the impact duration, and recording the degradation amount as a third degradation amount.
Preferably, the probability density function determining module includes:
a first probability density function determining unit configured to determine a first probability density function according to the first degradation amount;
a second probability density function determining unit configured to determine a second probability density function based on the second degradation amount;
and a third probability density function determining unit configured to determine a third probability density function according to the third degradation amount.
Preferably, the reliability function determining module includes:
the survivor probability determining unit is used for determining the survivor probability of the cutting pick of the heading machine according to a probability density function of the total degradation amount of the cutting pick of the heading machine;
a first reliability function determining unit, configured to determine a first reliability function according to the first probability density function; the first reliability function is a reliability function of a cutting pick of the heading machine when no impact occurs;
a second reliability function determining unit, configured to determine a second reliability function according to a probability density function of the total degradation amount of the cutting pick of the heading machine; the first reliability function is a reliability function of the cutting pick of the heading machine when the impact times do not reach the preset times;
a third reliability function determining unit configured to determine a third reliability function according to the survival probability; the third reliability function is a reliability function of the cutting pick of the heading machine when the impact times reach the preset times.
The technical effects achieved by the reliability analysis system of the cutting teeth of the heading machine are the same as those achieved by the reliability analysis method of the cutting teeth of the heading machine, so that the description is omitted.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions of the prior art, the drawings that are needed in the embodiments will be briefly described below, it being obvious that the drawings in the following description are only some embodiments of the present invention, and that other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a flow chart of a method for analyzing reliability of a cutting pick of a heading machine;
FIG. 2 is a schematic diagram of a degradation process of pick height over time provided by an embodiment of the present invention;
FIG. 3 is a schematic diagram showing the degradation of a pick provided by an embodiment of the present invention from different impact strengths;
FIG. 4 is a graph of reliability analysis results for picks under different models provided by an embodiment of the present invention;
fig. 5 is a schematic structural diagram of the reliability analysis system for the cutting pick of the heading machine.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
The invention aims to provide a reliability analysis method and a system for a cutting pick of a heading machine, which consider a variable acceleration degradation process, so as to improve the accuracy of reliability analysis of the cutting pick of the heading machine.
In order that the above-recited objects, features and advantages of the present invention will become more readily apparent, a more particular description of the invention will be rendered by reference to the appended drawings and appended detailed description.
Indeed, during deterioration of a cutting pick, high hardness rock is the most common random impact type, and the hardness and volume of the rock have a very significant impact on the performance of the cutting pick. Based on this consideration, the present invention proposes a relatively more practical system reliability model to describe the correlation between the degradation process and random impact, wherein the impact strength and duration impact on the degradation process is comprehensive. The basic principle of the model is shown in fig. 2. First, the degradation process includes long-term continuous natural degradation, transient degradation caused by impact, and accelerated degradation processes over the duration of the impact, the long-term continuous degradation being characterized by a general degradation path model. Soft failure occurs when the pick height is below a given soft failure threshold. Second, the impact process is characterized by randomness, its arrival time follows the homogeneous poisson process, and a hard failure occurs once the impact amplitude exceeds a given hard failure threshold.
As shown in fig. 1, the method for analyzing reliability of a cutting pick of a heading machine provided by the invention comprises the following steps:
step 100: and acquiring the abrasion loss per unit time, the impact amplitude and the impact duration of the cutting pick of the heading machine to be analyzed.
Step 101: and determining the degradation amount of the cutting pick of the heading machine according to the abrasion amount per unit time, the impact amplitude of the impact and the impact duration. The degradation amount of the heading machine pick comprises: degradation of the heading machine pick in the natural wear degradation process, degradation of the heading machine pick in the instantaneous degradation process caused by impact and degradation of the heading machine pick in the speed acceleration degradation process caused by impact. The implementation process of the step can be as follows:
and determining the degradation amount of the cutting pick of the heading machine in the natural wear degradation process based on the wear amount per unit time, and recording the degradation amount as a first degradation amount.
And determining the degradation amount of the cutting pick of the heading machine in the transient degradation process caused by the impact based on the impact amplitude, and recording the degradation amount as a second degradation amount.
And determining the degradation amount of the cutting pick of the heading machine in the speed-variable acceleration degradation process caused by the impact based on the abrasion amount per unit time, the impact amplitude and the impact duration, and recording the degradation amount as a third degradation amount.
Step 102: a probability density function is determined based on the degradation amount. The probability density function includes: a first probability density function, a second probability density function, and a third probability density function. Specific:
a first probability density function is determined based on the first degradation amount.
A second probability density function is determined based on the second degradation amount.
A third probability density function is determined based on the third degradation amount.
Step 103: and determining a probability density function of the total degradation of the cutting teeth of the heading machine according to the probability density function. For example, the probability density function of the total degradation of the heading machine pick is f X (x|N(t)＝m)：
Wherein,as a first probability density function, +.>As a second probability density function, ">As a third probability density function, N (t) is the number of impact times, m is a positive integer, S 1 S, for degradation amount of cutting pick of heading machine in instantaneous degradation process caused by impact 2 To accelerate degradation of the cutting pick of the heading machine in the degradation process at a variable speed caused by impact, x 1 Is the degradation amount of the cutting pick of the heading machine in the natural wear degradation process.
Step 104: and determining the reliability function of the cutting pick of the heading machine according to the probability density function and the probability density function of the total degradation amount of the cutting pick of the heading machine. The reliability function includes: the reliability function of the cutting pick of the heading machine when no impact occurs, the reliability function of the cutting pick of the heading machine when the impact times do not reach the preset times, and the reliability function of the cutting pick of the heading machine when the impact times reach the preset times. The implementation process of the step can be as follows:
and determining the survival probability of the cutting pick of the heading machine according to the probability density function of the total degradation amount of the cutting pick of the heading machine.
A first reliability function is determined from the first probability density function. The first reliability function is a reliability function of the heading machine pick when no impact has occurred.
And determining a second reliability function according to the probability density function of the total degradation amount of the cutting pick of the heading machine. The first reliability function is a reliability function of the cutting pick of the heading machine when the impact times do not reach the preset times.
A third reliability function is determined based on the survival probability. The third reliability function is the reliability function of the cutting pick of the heading machine when the impact times reach the preset times.
Step 105: and determining the integral reliability function of the cutting pick of the heading machine according to the reliability function. For example, the overall reliability function of the heading machine pick is R (t):
R(t)＝R SF (t)+R SF (t)R HF (t)
wherein R is SF (t) is not yet issuedReliability function R of cutting pick of heading machine during impact generation SF (t) is a reliability function of the cutting pick of the heading machine when the impact times do not reach the preset times, R HF And (t) is a reliability function of the cutting pick of the heading machine when the impact times reach the preset times.
Step 106: determining the wear degree of the cutting pick of the heading machine according to the integral reliability function of the cutting pick of the heading machine so as to generate a reliability analysis result of the cutting pick of the heading machine.
The following describes the implementation principle and the process of the reliability analysis method for the cutting pick of the heading machine according to the present invention in a specific embodiment.
Step 1: determining a degradation process and a failure threshold according to the working process of the cutting pick:
the working condition of the cutting pick of the heading machine is extremely severe, complex and changeable, and is influenced by severe geological conditions such as broken coal beds, superhard rock layers and the like with randomly changed compressive strength possibly encountered in the heading process, and the cutting pick is in a working state of high stress and strong impact for a long time, so that the cutting pick is extremely easy to fail.
Cutting pick working conditions:
during cutting coal and rock, the cutting pick of the mining machine fails due to abrasion, such as normal abrasion, premature abrasion and alloy head falling, and accounts for 75% -90% of the total failure modes. Failure caused by hard rock impact, such as cutting tooth breakage and cutting tooth tipping, accounts for 10% -25% of the total failure modes.
Description of degradation process:
natural degradation: when the hardness of the microprotrusion particles on the surface of the coal rock is lower than that of the cutting pick material, the cutting pick material is continuously reacted by the coal rock, wear occurs over time, and the cutting pick is naturally degraded in wear.
Rate accelerated degradation (soft failure): when the hardness of the microprotrusion particles on the surface of the coal rock is higher than that of the cutting pick material, the microprotrusion particles generate cutting action on the surface of the cutting pick material, the cutting pick undergoes impact accelerated degradation, and different durations and degradation rates are presented due to differences in volume and hardness of the coal rock.
Impact failure (hard failure). When the hardness of the microprotrusion particles on the surface of the coal rock reaches a certain degree, the cutting pick can be subjected to impact instantaneous damage, and the fault is called hard fault. The degradation process is shown in fig. 2 and 3.
Step 2: determining main processes of natural degradation and impact damage, and establishing a degradation process model:
A. natural wear degradation process:
the main failure mode of a pick is wear, and factors affecting wear mainly include two aspects: one is internal factors such as the composition of the abraded material, the texture and surface shape, etc. And the other is external factors such as the characteristics of the size, hardness and the like of the abrasive particles, the contact load characteristic of the abrasive particles and the worn material, the relative motion characteristic, the environmental temperature characteristic and the like. Wear amount delta per unit time 0 Describing the application of gamma processes, the probability density function is:
where α is a shape parameter (shape parameter), and β is an inverse scale parameter.
The abrasion loss per unit time is:
X 1 (t)＝δ 0 t。
B. impact process
The geological conditions of the coal field are complex and changeable, and high-hardness gangue and faults exist irregularly in the coal seam, so that the cutting pick can be subjected to random impact of alternating load when cutting coal and rock. It is assumed that random impact occurs at a constant rate lambda 0 Follow the homogeneous poisson process arrival. The number of shocks reached before time t is denoted by N (t), so the probability of reaching m shocks is:
1) Instantaneous degradation by impact
Due to abrupt changes in the hardness of the coal rock, sudden degradation of the pick is caused at the moment of impact arrival, thereby causing an increase in the total degradation. The higher the hardness of the coal rock is,the larger the impact amplitude, the larger the pick instantaneous degradation due to abrupt load change, i.e. the pick instantaneous degradation and impact amplitude are positively correlated, assuming a linear relationship between instantaneous degradation and impact amplitudeWherein->As a linear relationship constant, if m impacts are suffered before time t, the total instantaneous degradation of the pick is defined as:
where i=0, 1,2,..m.
2) Accelerated degradation of variable rate over impact duration
Since the gangue and fault hardness in the coal seam are high and have a certain volume, the degradation rate of the cutting pick in the impact duration is assumed to be delta=eta delta 0 Delta is degradation rate in the duration of impact, eta is degradation rate acceleration factor caused by impact, and the acceleration effect on the natural wear degradation of the cutting pick after the impact arrives is reflected. The higher the hardness of the rock is, the larger the amplitude of the impact is, and the larger the degradation rate of the cutting pick when cutting coal and rock is, so that the degradation rate of the cutting pick is higher than the natural degradation rate in the duration of the impact and is positively correlated with the amplitude of the impact, and the degradation rate acceleration factor eta=exp (thetav) is assumed to be larger than or equal to 1, and theta is an exponential relation constant because the abrasion degree of the cutting pick increases exponentially with the increase of the amplitude. If m impacts are suffered before time t, the amount of accelerated degradation caused by the impact over the entire duration is defined as:
wherein,for the duration of the impact.
Step 3: synthesizing the influence of degradation and impact to obtain a probability density function of the total degradation and the process:
1) Natural wear degradation amount X 1 Probability Density function of (t)
It is known to assume that before time T, the pick is subjected to m impacts, given the sum of the duration of the m impacts as T 1 I.e.Therefore, the probability density function thereof is->The method comprises the following steps:
wherein Grampdf is the pdf function of the gamma function with t as a variable and m and λ as parameters.
The total degradation of the natural wear of the cutting pick isX 1 Probability density function +.>The deduction can be obtained:
2) Instantaneous degradation S 1 Probability Density function of (t)
Assuming that the pick is subjected to m impacts before time t, the total instantaneous degradation of the pick isDue to instantaneous degradation S 1 More than or equal to 0, describing the mixture by adopting normal distribution of truncated tails, and setting E as an intermediate variableSo its probability density functionThe method comprises the following steps:
wherein Normpdf is a pdf function of a normal distribution, and sigma and mu are the mean and variance of the normal distribution, respectively.
3) Accelerated degradation amount S 2 Probability Density function of (t)
Accelerated degradation amount S 2 The expression of (t) is:by intermediate variablesBy performing the deduction, it is possible to obtain:
the total rate of accelerated degradation of the pick over the duration of the impact is:deriving a formula from a probability density function summed by a plurality of random variables, S 2 Probability density function +.>Is W 5 Probability density function +.>The derivation can be obtained by:
3) Combining the effects of three degradation processes, the probability density function derivation of the total degradation X (t) of the pick can be obtained:
step 4: the reliability of the cutting pick is calculated and analyzed:
when the height Y (t) of the cutting pick of the mining machine is lower than the soft failure threshold H s Soft faults occur when, considering the impact of the impact process, the soft and hard faults are interdependent and the degradation process is different when different numbers of harmful impacts arrive, so that in both cases the probability of a pick surviving from the soft fault in case of a fixed number of impacts arrive is derived.
A. Case 1: n (t) =m=0
When no random impact occurs before time t, i.e., N (t) =0, then the pick height Y (t) is only affected by long-term continuous natural wear degradation. When only soft faults are considered, the reliability function of the pick at time t is:
B. case 2: n (t) =m > 0
When the number of times of arrival of the impact N (t) =m > 0 before the time t, m=1, 2 …, then the height Y (t) of the pick is affected by long-term continuous natural degradation, instantaneous degradation caused by the impact, and accelerated degradation over the duration of the impact, when considering only soft faults, the reliability function of the pick at time t is:
1) Reliability modeling of cutting pick hard fault
When the amplitude V of the impact of the cutting pick of the mining machine i Above the hard failure threshold V h Will be sent out when in useThe probability F of a pick surviving a random attack is readily obtained from a hard failure, as described in section 2 Vi (V h ). Thus, when only hard faults are considered when the number of impact arrivals N (t) =m > 0, m=1, 2 …, the reliability function of the pick at time t is:
2) Reliability analysis of competing failure processes
Mining machine pick failures are the result of competition for soft and hard failures, whose reliability functions under a fixed number of random impacts are derived in sections 3.1 and 3.2, respectively. Thus, the reliability function of a competing failure pick can be derived as follows:
3) Model comparison
Reliability analysis under different models is shown in table 1 and fig. 4 below.
TABLE 1 reliability analysis Table under different models
In addition, the invention also provides a reliability analysis system of the cutting pick of the heading machine, which is shown in fig. 5, and comprises: an acquisition module 1, a degradation amount determination module 2, a probability density function determination module 3, a probability density function determination module 4 of the total degradation amount, a reliability function determination module 5, an overall reliability function determination module 6 and a reliability analysis result generation module 7.
The acquisition module 1 is used for acquiring the unit-time abrasion loss, the impacted impact amplitude and the impact duration of the cutting pick of the heading machine to be analyzed.
The degradation amount determination module 2 is used for determining the degradation amount of the cutting pick of the heading machine according to the abrasion amount per unit time, the impact amplitude of the impact and the impact duration. The degradation amount of the heading machine pick comprises: degradation of the heading machine pick in the natural wear degradation process, degradation of the heading machine pick in the instantaneous degradation process caused by impact and degradation of the heading machine pick in the speed acceleration degradation process caused by impact.
The probability density function determining module 3 is configured to determine a probability density function based on the degradation amount. The probability density function includes: a first probability density function, a second probability density function, and a third probability density function.
The probability density function determination module 4 is used for determining the probability density function of the total degradation of the cutting pick of the heading machine according to the probability density function.
The reliability function determination module 5 is used for determining the reliability function of the cutting pick of the heading machine according to the probability density function and the probability density function of the total degradation amount of the cutting pick of the heading machine. The reliability function includes: the reliability function of the cutting pick of the heading machine when no impact occurs, the reliability function of the cutting pick of the heading machine when the impact times do not reach the preset times, and the reliability function of the cutting pick of the heading machine when the impact times reach the preset times.
The overall reliability function determination module 6 is configured to determine an overall reliability function of the heading machine pick based on the reliability function.
The reliability analysis result generation module 7 is used for determining the abrasion degree of the cutting pick of the heading machine according to the integral reliability function of the cutting pick of the heading machine so as to generate the reliability analysis result of the cutting pick of the heading machine.
Wherein the degradation amount determination module 2 preferably includes:
a first degradation amount determination unit configured to determine a degradation amount of the heading machine pick in the natural wear degradation process based on the wear amount per unit time, and record the degradation amount as a first degradation amount.
A second degradation amount determining unit for determining a degradation amount of the heading machine pick during the transient degradation caused by the impact based on the impact amplitude, and recording the degradation amount as the second degradation amount.
And a third degradation amount determining unit for determining the degradation amount of the cutting pick of the heading machine in the process of the speed acceleration degradation caused by the impact based on the abrasion amount per unit time, the impact amplitude and the impact duration, and recording the degradation amount as a third degradation amount.
The probability density function determination module 4 preferably comprises:
and a first probability density function determining unit for determining a first probability density function based on the first degradation amount.
And a second probability density function determining unit configured to determine a second probability density function based on the second degradation amount.
And a third probability density function determining unit configured to determine a third probability density function based on the third degradation amount.
The reliability function determination module 5 preferably comprises:
the survivor probability determining unit is used for determining the survivor probability of the cutting pick of the heading machine according to the probability density function of the total degradation amount of the cutting pick of the heading machine.
And the first reliability function determining unit is used for determining the first reliability function according to the first probability density function. The first reliability function is a reliability function of the heading machine pick when no impact has occurred.
And the second reliability function determining unit is used for determining a second reliability function according to the probability density function of the total degradation of the cutting teeth of the heading machine. The first reliability function is a reliability function of the cutting pick of the heading machine when the impact times do not reach the preset times.
And a third reliability function determining unit for determining a third reliability function based on the survival probability. The third reliability function is the reliability function of the cutting pick of the heading machine when the impact times reach the preset times.
In the present specification, each embodiment is described in a progressive manner, and each embodiment is mainly described in a different point from other embodiments, and identical and similar parts between the embodiments are all enough to refer to each other. For the system disclosed in the embodiment, since it corresponds to the method disclosed in the embodiment, the description is relatively simple, and the relevant points refer to the description of the method section.
The principles and embodiments of the present invention have been described herein with reference to specific examples, the description of which is intended only to assist in understanding the methods of the present invention and the core ideas thereof; also, it is within the scope of the present invention to be modified by those of ordinary skill in the art in light of the present teachings. In view of the foregoing, this description should not be construed as limiting the invention.
Claims (10)
1. The reliability analysis method for the cutting pick of the heading machine is characterized by comprising the following steps of:
acquiring the unit time abrasion loss, the impact amplitude and the impact duration of the cutting pick of the heading machine to be analyzed;
determining the degradation amount of the cutting pick of the heading machine according to the abrasion loss in unit time, the impact amplitude of the impact and the impact duration; the degradation amount of the heading machine pick comprises: degradation amount of the cutting pick of the heading machine in the natural abrasion degradation process, degradation amount of the cutting pick of the heading machine in the instantaneous degradation process caused by impact and degradation amount of the cutting pick of the heading machine in the speed acceleration degradation process caused by impact;
determining a probability density function based on the degradation amount; the probability density function includes: a first probability density function, a second probability density function, and a third probability density function;
determining a probability density function of the total degradation amount of the cutting pick of the heading machine according to the probability density function;
determining a reliability function of the cutting pick of the heading machine according to the probability density function and the probability density function of the total degradation amount of the cutting pick of the heading machine; the reliability function includes: the reliability function of the cutting pick of the heading machine when no impact occurs, the reliability function of the cutting pick of the heading machine when the impact frequency does not reach the preset frequency, and the reliability function of the cutting pick of the heading machine when the impact frequency reaches the preset frequency;
determining the integral reliability function of the cutting pick of the heading machine according to the reliability function;
and determining the abrasion degree of the cutting pick of the heading machine according to the integral reliability function of the cutting pick of the heading machine so as to generate a reliability analysis result of the cutting pick of the heading machine.
2. The method for analyzing reliability of cutting teeth of a heading machine according to claim 1, wherein said determining degradation of the cutting teeth of the heading machine based on the amount of wear per unit time, the impact amplitude of the impact, and the impact duration comprises:
determining the degradation amount of the cutting pick of the heading machine in the natural wear degradation process based on the wear amount in unit time, and marking the degradation amount as a first degradation amount;
determining the degradation amount of the cutting pick of the heading machine in the transient degradation process caused by the impact based on the impact amplitude, and recording the degradation amount as a second degradation amount;
and determining the degradation amount of the cutting pick of the heading machine in the speed-variable acceleration degradation process caused by the impact based on the abrasion amount per unit time, the impact amplitude and the impact duration, and recording the degradation amount as a third degradation amount.
3. The method of analyzing reliability of a cutting pick of a heading machine according to claim 2, wherein said determining a probability density function based on said degradation amount comprises:
determining a first probability density function from the first degradation amount;
determining a second probability density function based on the second degradation amount;
and determining a third probability density function according to the third degradation amount.
4. A method of analysing the reliability of a cutting pick of a heading machine as claimed in claim 3, wherein the determining the reliability function of the cutting pick of a heading machine from the probability density function comprises:
determining the survival probability of the cutting pick of the heading machine according to the probability density function of the total degradation amount of the cutting pick of the heading machine;
determining a first reliability function according to the first probability density function; the first reliability function is a reliability function of a cutting pick of the heading machine when no impact occurs;
determining a second reliability function according to a probability density function of the total degradation amount of the cutting pick of the heading machine; the first reliability function is a reliability function of the cutting pick of the heading machine when the impact times do not reach the preset times;
determining a third reliability function based on the survival probability; the third reliability function is a reliability function of the cutting pick of the heading machine when the impact times reach the preset times.
5. The method of analyzing reliability of a cutting pick of a heading machine according to claim 4, wherein a probability density function of a total degradation of the cutting pick of the heading machine is f X (x|N(t)＝m)：
Wherein,as a first probability density function, +.>As a function of the second probability density,as a third probability density function, N (t) is the number of impact times, m is a positive integer, S 1 S, for degradation amount of cutting pick of heading machine in instantaneous degradation process caused by impact 2 To accelerate degradation of the cutting pick of the heading machine in the degradation process at a variable speed caused by impact, x 1 Is the degradation amount of the cutting pick of the heading machine in the natural wear degradation process.
6. The method of analyzing reliability of a cutting pick of a heading machine according to claim 1, wherein the overall reliability function of the cutting pick of the heading machine is R (t):
R(t)＝R SF (t)+R SF (t)R HF (t)
wherein R is SF (t) is the reliability function of the cutting pick of the heading machine when no impact occurs, R SF (t) is a reliability function of the cutting pick of the heading machine when the impact times do not reach the preset times, R HF And (t) is a reliability function of the cutting pick of the heading machine when the impact times reach the preset times.
7. A heading machine pick reliability analysis system, comprising:
the acquisition module is used for acquiring the unit time abrasion loss, the impact amplitude and the impact duration of the cutting pick of the heading machine to be analyzed;
the degradation amount determining module is used for determining the degradation amount of the cutting pick of the heading machine according to the abrasion amount per unit time, the impact amplitude of the impact and the impact duration; the degradation amount of the heading machine pick comprises: degradation amount of the cutting pick of the heading machine in the natural abrasion degradation process, degradation amount of the cutting pick of the heading machine in the instantaneous degradation process caused by impact and degradation amount of the cutting pick of the heading machine in the speed acceleration degradation process caused by impact;
a probability density function determining module for determining a probability density function according to the degradation amount; the probability density function includes: a first probability density function, a second probability density function, and a third probability density function;
the probability density function determining module is used for determining the probability density function of the total degradation of the cutting pick of the heading machine according to the probability density function;
the reliability function determining module is used for determining the reliability function of the cutting pick of the heading machine according to the probability density function and the probability density function of the total degradation amount of the cutting pick of the heading machine; the reliability function includes: the reliability function of the cutting pick of the heading machine when no impact occurs, the reliability function of the cutting pick of the heading machine when the impact frequency does not reach the preset frequency, and the reliability function of the cutting pick of the heading machine when the impact frequency reaches the preset frequency;
the overall reliability function determining module is used for determining the overall reliability function of the cutting pick of the heading machine according to the reliability function;
the reliability analysis result generation module is used for determining the abrasion degree of the cutting pick of the heading machine according to the integral reliability function of the cutting pick of the heading machine so as to generate the reliability analysis result of the cutting pick of the heading machine.
8. The heading machine pick reliability analysis system of claim 7, wherein the degradation amount determination module comprises:
a first degradation amount determining unit configured to determine a degradation amount of the heading machine pick in a natural wear degradation process based on the wear amount per unit time, and record the degradation amount as a first degradation amount;
a second degradation amount determining unit configured to determine a degradation amount of the heading machine pick in an instantaneous degradation process caused by the impact based on the impact amplitude, and record the degradation amount as a second degradation amount;
and a third degradation amount determining unit for determining the degradation amount of the cutting pick of the heading machine in the process of the speed acceleration degradation caused by the impact based on the abrasion amount per unit time, the impact amplitude and the impact duration, and recording the degradation amount as a third degradation amount.
9. The heading machine pick reliability analysis system of claim 8, wherein the probability density function determination module comprises:
a first probability density function determining unit configured to determine a first probability density function according to the first degradation amount;
a second probability density function determining unit configured to determine a second probability density function based on the second degradation amount;
and a third probability density function determining unit configured to determine a third probability density function according to the third degradation amount.
10. The heading machine pick reliability analysis system of claim 9, wherein the reliability function determination module includes:
the survivor probability determining unit is used for determining the survivor probability of the cutting pick of the heading machine according to a probability density function of the total degradation amount of the cutting pick of the heading machine;
a first reliability function determining unit, configured to determine a first reliability function according to the first probability density function; the first reliability function is a reliability function of a cutting pick of the heading machine when no impact occurs;
a second reliability function determining unit, configured to determine a second reliability function according to a probability density function of the total degradation amount of the cutting pick of the heading machine; the first reliability function is a reliability function of the cutting pick of the heading machine when the impact times do not reach the preset times;
a third reliability function determining unit configured to determine a third reliability function according to the survival probability; the third reliability function is a reliability function of the cutting pick of the heading machine when the impact times reach the preset times.
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