CN108345762A - A kind of large module gear rack Prediction method for fatigue life for gear rack drilling machine - Google Patents
A kind of large module gear rack Prediction method for fatigue life for gear rack drilling machine Download PDFInfo
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- CN108345762A CN108345762A CN201810227408.0A CN201810227408A CN108345762A CN 108345762 A CN108345762 A CN 108345762A CN 201810227408 A CN201810227408 A CN 201810227408A CN 108345762 A CN108345762 A CN 108345762A
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- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
- G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
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Abstract
The present invention relates to a kind of large module gear rack Prediction method for fatigue life for gear rack drilling machine；Belong to rack-and-pinion fatigue life detection technique field.The present invention establishes rack-and-pinion finite element model for large module gear rack using drilling machine data, defining S N curves according to the selection of material establishes fatigue life prediction model simultaneously, according to designed drilling machine coverage, the load occurred on setting gear, the lifetime change situation of gear is obtained by finite element analysis of Fatigue-life, combine different hooks and set out existing cycle-index, fatigue life prediction is carried out to large module gear based on linear Fatigue Summation Damage Theory.The present invention quickly and effectively can carry out fatigue life prediction by gear, be not necessarily to test mechanism, more simple and effective in the design phase；A kind of new approach is provided, while guidance foundation is provided for the safe operation in gear later stage for design early period, the service life verification of large module gear rack.
Description
Technical field
The present invention relates to a kind of large module gear rack Prediction method for fatigue life for gear rack drilling machine；Belong to gear
Rack fatigue life detection technique field.
Background technology
As large module gear rack is in the extensive use of gear rack drilling machine and large-scale heavy duty mechanical equipment, equipment is faced
Normal operation, the reasonable arrangement of maintenance project and the requirements such as safety guarantee of personnel, how is carried out to rack the reliability longevity
Life prediction is increasingly taken seriously.During rack pinion, rack-and-pinion will produce fatigue damage, the fatigue damage of gear
There is influence in wound accumulation, thus need to carry out Calculation of Fatigue Life prediction to gear on the fatigue life of gear, be the pre- of gear
Anti- property repair provides foundation.
It is made that more research, majority are all that the bending to rack-and-pinion is strong to the structure of rack-and-pinion both at home and abroad at present
Degree carries out analysis check, and Fatigue Life Research is less when to large module gear rack engaged transmission, therefore is directed to large modulus tooth
The relatively weak present situation of rack Fatigue Life Problems research is taken turns, proposes to be driven based on virtual emulation and the technique study of theoretical calculation
The fatigue life of gear, related conclusions provide a kind of new approach for design early period, the service life verification of large module gear rack, together
When for the safe operation in gear later stage provide guidance foundation, and be alternatively the Fatigue Life Research of other mechanical large module gears
It offers reference.
Invention content
It is an object of the invention to：One kind is provided and passes through finite element analysis of Fatigue-life and linear Fatigue Summation Damage Theory
Carry out joint study, can quickly and effectively predict the fatigue life of gear, for the gear later stage safe operation provide instruct according to
According to the large module gear rack Prediction method for fatigue life for gear rack drilling machine.
The technical scheme is that：
A kind of large module gear rack Prediction method for fatigue life for gear rack drilling machine, it is characterised in that：It include with
Lower step：
1）, model established according to the structure of rack-and-pinion；
2）, according to the Fatigue Life Curve S-N of rack-and-pinion different materials, analysis of Fatigue-life model is established in finite element；
3）, rack-and-pinion finite element analysis；
During rack pinion, the load that rack-and-pinion is subject to is continually changing, is existed by finite element analysis gear
Under different loads, the minimal circulation number of gear；
4）, determine one probing period internal gear rack the load frequency：
Advance property calculating is carried out, block may be serviced with reference to gear rack drilling machine, determines rack-and-pinion within the once probing period
The load frequency being likely to occur；
5）, determine the load frequency of rack-and-pinion after a period of operation：
It is assumed that within work a period of time, gear rack drilling machine has carried out multiple probing in different regions respectively, according to possible
The working environment of appearance counted within one section of working time（The repeatedly probing period）The load frequency that rack-and-pinion occurs；
6）, using Miner theory, be calculate by the following formula the linear accumulation fatigue damage of gear：
In formula,Linear accumulation fatigue damage；
The frequency that different loads lower gear occurs after one section of working time；
The minimal circulation number of different loads lower gear；
The stress level loaded on gear；
7）, fatigue damage judge：
If the load history of component by,... ...,DengA different stress level is constituted, the longevity under each stress level
Life is respectively,... ...,, the cycle-index under each stress level is respectively,... ...,, then can obtain
Go out：
When damage is equal to 1, component destroys, i.e.,
When accumulated damage is less than 1, then it is assumed that component meets the safety requirements of finite-life design, i.e.,
The beneficial effects of the present invention are：
The large module gear rack Prediction method for fatigue life for being used for gear rack drilling machine is engaged for large module gear rack
Process establishes fatigue life prediction model, establishes rack-and-pinion finite element model using drilling machine data, while according to the selection of material
S-N curves are defined, according to designed drilling machine coverage, the load occurred on gear is set, passes through finite element fatigue life
Analysis obtains the lifetime change situation of gear, combines different hooks and sets out existing cycle-index, is managed based on linear Cumulative Fatigue Damage
Fatigue life prediction is carried out by large module gear.The present invention is managed using finite element Fatigue Analysis Method and linear Cumulative Fatigue Damage
By quickly and effectively gear carries out fatigue life prediction, is not necessarily to test mechanism, more simple and effective in the design phase；For big mould
Design early period, the service life verification of number rack-and-pinion provide a kind of new approach, while the safe operation for the gear later stage provides
Instruct foundation.
Description of the drawings
Fig. 1 is large module gear Prediction method for fatigue life flow chart in present example；
Fig. 2 is that different hooks carry lower gear maximum stress variation diagram in the embodiment of the present invention.
Specific implementation mode
This is used for the large module gear rack Prediction method for fatigue life of gear rack drilling machine, includes the following steps：
Structural modeling：
Large module gear rack is applied in gear rack drilling machine, drilling derrick firm banking part, and upper derrick deformation is opposite
It is larger in other positions, once select one group of rack-and-pinion of upper gear case to be analyzed from multigroup gear, module
25mm, the number of teeth 12, reference diameter 300mm establish finite element contact model, to contact site by SolidWorks and ANSYS
Divide and uses micronization processes grid division.
Establish finite element analysis of Fatigue-life model；
According to the different materials that rack-and-pinion uses, by inquiring the S-N curves of different materials in national standard, and adopt
With the S-N curves in the case of 99 % survival rates, fatigue life S-N of the rack-and-pinion defined in finite element analysis model is bent
Line establishes finite element analysis of Fatigue-life model；
Minimal circulation number of the finite element analysis rack-and-pinion under different loads；
Transmission mechanism of the rack-and-pinion as drilling machine, the load that rack-and-pinion is subject to are always at the state changed constantly, therefore
The load that the gear teeth are subject to is divided into different amplitude ranges, takes the mean value of every group of amplitude, by the finite element analysis gear teeth in difference
Minimal circulation number situation under load（Referring to table 1）,
The case where different hooks of table 1 carry lower gear minimal circulation number
As shown in Table 1, the S-N curves of gear teeth minimal circulation number changing rule and gear are almost the same.
According to maximum stress changing rule of the gear when different hooks carry situation, when load is up to 2500kN, gear
Maximum stress be up to 465.6MPa, be less than gear yield strength 835MPa, the material damage of gear cannot be caused, therefore can
According to the contact stress combination fatigue damage theory of gear, to occur to its Gear Contact analysis of Fatigue-life, and in the gear teeth
Occurs the minimal circulation number of the gear teeth at maximum stress（See Fig. 2）.
In the minimum fatigue life situation of change of different loads lower gear, when load is less than 875kN, tooth shown in foundation table 1
The fatigue life of wheel is 3.81e+6 times, it is believed that gear is in unlimited fatigue life situation at this time；When load is more than 875kN, tooth
Wheel is in the infinite fatigue life stage, and with the increase of load, gear fatigue life reduces, gear fatigue when load is 2500kN
Service life only has 802 times, and under such load, fatigue failure can occur too early in gear, should be avoided as possible in drilling machine drilling process
Such case.
Set the load frequency；
The fatigue life of prediction gear provides reference frame for the design of rack-and-pinion, carries out advance property calculating, therefore be directed to institute
The region of the gear rack drilling machine service of design, with reference to JJ160/41-K-type derrick in Daqing oil field working condition, drilling machine is one
In secondary drilling period, the load frequency of occurrence concrete numerical value that gear is subject to is as shown in table 2；
Table 2 drills the period internal tooth wheel load frequency
Determine the cycle-index under the different loads of drilling machine whithin a period of time；
According to the load frequency that gear is likely to occur within the once probing period, determine drilling machine within 1 year working time（It is more
The secondary probing period）, the load frequency on gear（As shown in table 3）；
Gear teeth minimal circulation number and load frequency situation in 3 one year working time of table
Large module gear rack fatigue life is predicted
Rack-and-pinion fatigue life is calculated using nominal stress method, and in the rack-and-pinion course of work, rack-and-pinion becomes
Shape is small deformation, and in linear-elastic range, the fatigue life for studying the gear teeth using nominal stress method is feasible.In gear
In rack drilling machine drilling process, the outer load for acting on lifting mechanism rack-and-pinion is continually changing, therefore can not pass through material
S-N curves carry out the fatigue life of obtain component, at this time must bonding wire fatigue cumulative damage theory, that is, Miner theories carry out
Research, P-M theories use following basic assumption：
（1）Damage is in a linear relationship with cycle-index.
（2）In Cyclic Stress, energy that the construction material of unit volume is absorbed, which has reached a certain limit, leads to fatigue
It destroys.
（3）Fatigue damage can be with linear superposition.
（4）Loading sequence is unrelated with the damage of material and service life
According to used Miner theories, it is calculate by the following formula the linear accumulation fatigue damage of gear
In formula,Linear accumulation fatigue damage；
The frequency that different loads lower gear occurs after one section of working time；
The minimal circulation number of different loads lower gear；
The stress level loaded on gear；
Used linear Fatigue Summation Damage Theory uses following basic assumption：
（1）Damage is in a linear relationship with cycle-index.
（2）In Cyclic Stress, energy that the construction material of unit volume is absorbed, which has reached a certain limit, leads to fatigue
It destroys.
（3）Fatigue damage can be with linear superposition.
If the load history of component by,... ...,DengA different stress level is constituted, under each stress level
Service life be respectively,... ...,, the cycle-index under each stress level is respectively,... ...,, then
It can obtain：
When damage is equal to 1, component destroys, i.e.,
（4）Loading sequence is unrelated with the damage of material and service life
On the basis of above-mentioned hypothesis, the accumulated damage of component is calculated, when accumulated damage is less than 1, then it is assumed that component satisfaction has
The safety requirements of Life Design is limited, i.e.,
Thus large module gear rack fatigue life prediction is completed.
The present invention establishes fatigue life prediction model according to the structural parameters of large module gear rack with working environment.Together
When in view of the outer load for during rack pinion, acting on rack-and-pinion is continually changing, it is bent material S-N can not to be passed through
Line carrys out the fatigue life of obtain component, at this time must bonding wire fatigue cumulative damage theory studied.According to result of calculation
Fatigue life prediction is carried out to gear, a kind of new way can be provided for the design early period of large module gear rack, service life verification
Diameter, while providing guidance foundation for the safe operation in gear later stage.
The present invention establishes fatigue life prediction model for large module gear rack engagement process, is established using drilling machine data
Rack-and-pinion finite element model, while S-N curves are defined according to the selection of material, according to designed drilling machine coverage, setting
The load occurred on gear obtains the lifetime change situation of gear by finite element analysis of Fatigue-life, combines different hooks and set out
Existing cycle-index carries out fatigue life prediction based on linear Fatigue Summation Damage Theory to large module gear；It can be big mould
Design early period, the service life verification of number rack-and-pinion provide a kind of new approach, while the safe operation for the gear later stage provides finger
Lead foundation.
Claims (1)
1. a kind of large module gear rack Prediction method for fatigue life for gear rack drilling machine, it is characterised in that：It includes
Following steps：
1）, model established according to the structure of rack-and-pinion；
2）, according to the Fatigue Life Curve S-N of rack-and-pinion different materials, analysis of Fatigue-life model is established in finite element；
3）, rack-and-pinion finite element analysis；
During rack pinion, the load that rack-and-pinion is subject to is continually changing, is existed by finite element analysis gear
Under different loads, the minimal circulation number of gear；
4）, determine one probing period internal gear rack the load frequency：
Advance property calculating is carried out, block may be serviced with reference to gear rack drilling machine, determines rack-and-pinion within the once probing period
The load frequency being likely to occur；
5）, determine the load frequency of rack-and-pinion after a period of operation：
Gear rack drilling machine worked in a period of time, according to the working environment being likely to occur, counted in one section of working time internal tooth
Take turns the load frequency that rack occurs；
6）, using Miner theory, be calculate by the following formula the linear accumulation fatigue damage of gear
In formula,Linear accumulation fatigue damage；
The frequency that different loads lower gear occurs after one section of working time；
The minimal circulation number of different loads lower gear；
The stress level loaded on gear；
7）, fatigue damage judge：
If the load history of component by,... ...,DengA different stress level is constituted, the longevity under each stress level
Life is respectively,... ...,, the cycle-index under each stress level is respectively,... ...,, then can obtain
Go out：
When damage is equal to 1, component destroys, i.e.,
When accumulated damage is less than 1, then it is assumed that component meets the safety requirements of finite-life design, i.e.,
。
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| CN201810227408.0A CN108345762B (en) | 2018-03-20 | 2018-03-20 | Fatigue life prediction method for large-modulus gear rack |
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| CN201810227408.0A CN108345762B (en) | 2018-03-20 | 2018-03-20 | Fatigue life prediction method for large-modulus gear rack |
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Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN109540487A (en) * | 2018-11-27 | 2019-03-29 | 中国科学院国家天文台 | A kind of telescope reflecting surface structure fatigue life monitoring method based on digital twins' technology |
| CN110443001A (en) * | 2019-08-15 | 2019-11-12 | 中国矿业大学 | A kind of coalcutter permanent magnetism half is straight to drive cutting transmission system dynamic reliability prediction technique |
| CN111950178A (en) * | 2020-07-22 | 2020-11-17 | 中国第一汽车股份有限公司 | Gear automatic loading method based on HyperWorks software |
| CN114508499A (en) * | 2021-12-22 | 2022-05-17 | 中国大唐集团新能源科学技术研究院有限公司 | Fan health degree early warning system based on big data of unit operation |
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Cited By (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109540487A (en) * | 2018-11-27 | 2019-03-29 | 中国科学院国家天文台 | A kind of telescope reflecting surface structure fatigue life monitoring method based on digital twins' technology |
| CN110443001A (en) * | 2019-08-15 | 2019-11-12 | 中国矿业大学 | A kind of coalcutter permanent magnetism half is straight to drive cutting transmission system dynamic reliability prediction technique |
| CN110443001B (en) * | 2019-08-15 | 2023-04-28 | 中国矿业大学 | Dynamic reliability prediction method for permanent magnet semi-direct drive cutting transmission system of coal mining machine |
| CN111950178A (en) * | 2020-07-22 | 2020-11-17 | 中国第一汽车股份有限公司 | Gear automatic loading method based on HyperWorks software |
| CN111950178B (en) * | 2020-07-22 | 2022-08-16 | 中国第一汽车股份有限公司 | Gear automatic loading method based on Hyperworks software |
| CN114508499A (en) * | 2021-12-22 | 2022-05-17 | 中国大唐集团新能源科学技术研究院有限公司 | Fan health degree early warning system based on big data of unit operation |
| CN114508499B (en) * | 2021-12-22 | 2024-01-09 | 大唐可再生能源试验研究院有限公司 | Fan health degree early warning system based on big data of unit operation |
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