CN109472068B - Method for analyzing and evaluating reliability of transmission fatigue process of heavy-load spiral bevel gear with fixed length and service life based on multiple failure modes - Google Patents
Method for analyzing and evaluating reliability of transmission fatigue process of heavy-load spiral bevel gear with fixed length and service life based on multiple failure modes Download PDFInfo
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- CN109472068B CN109472068B CN201811255112.6A CN201811255112A CN109472068B CN 109472068 B CN109472068 B CN 109472068B CN 201811255112 A CN201811255112 A CN 201811255112A CN 109472068 B CN109472068 B CN 109472068B
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Abstract
The invention relates to a method for analyzing and evaluating the reliability of a fixed-length life transmission fatigue process of a heavy-duty spiral bevel gear based on multiple failure modes, which comprises the following steps: (1) Respectively researching failure mechanisms of main failure modes of the heavy-duty spiral bevel gear; (2) The influence of process parameters on the reliability of the failure mode is researched aiming at different single failure modes; (3) Researching a reliability calculation method for coupling of multiple failure modes; (4) And calculating the sensitivity of the process parameters to the reliability based on the reliability result, and realizing the evaluation of the manufacturing process parameters through sensitivity calculation. The fatigue reliability of the spiral bevel gear and the reliability analysis of multi-failure-mode coupling under different failure modes can be analyzed; meanwhile, by means of sensitivity calculation, key manufacturing control parameters for reliable machining of the spiral bevel gear are obtained, the reliability of the spiral bevel gear is improved, and the method has important significance for practical production guidance of gears.
Description
Technical Field
The invention relates to a method for analyzing and evaluating the reliability of a fixed-length life transmission fatigue process of a heavy-load spiral bevel gear based on a multi-failure mode, which is suitable for analyzing and evaluating the related manufacturing process of the fixed-length life reliability of the spiral bevel gear under the heavy-load complex working condition and optimizing related influence process parameters.
Background
The heavy-duty spiral bevel gear is an irreplaceable core key component of the power transmission of the aircraft engine. With the continuous forward development of national defense science and technology, higher requirements are put forward on aero-engine transmission systems bearing various complex and severe working conditions, namely, higher load capacity, stronger power, more flexible maneuvering performance, higher reliability and longer fatigue life. Aiming at high requirements for the reliability of the heavy-duty spiral bevel gear at home and abroad, intermediate variables such as surface roughness, surface residual stress, surface hardness and the like are introduced on the basis of the original reliability and gear failure research, the relation between the manufacturing and processing technological parameters of the spiral bevel gear and the reliability of a single failure mode is established, a reliability analysis and evaluation method based on multiple failure modes is provided, and the technological design and production arrangement of the spiral bevel gear with high reliability requirements are guided, so that a technological guarantee is provided for the high-reliability manufacturing of the heavy-duty spiral bevel gear.
Disclosure of Invention
The technical problem to be solved by the invention is as follows: aiming at the analysis and evaluation problems of high reliability of heavy-duty spiral bevel gears, the surface roughness, the surface residual stress, the surface hardness and the like are taken as intermediate variables, the influence of process parameters in the complex actual machining process of the spiral bevel gears on the reliability of different failure modes is considered, the connection among multiple failure modes is comprehensively considered, a failure mode series-parallel connection model is provided, the maximum value and the minimum value of the reliability of the multiple failure modes are solved, and a reliability evaluation method based on sensitivity calculation is provided. The difficulty and the cost of reliability analysis and evaluation of the heavy-load spiral bevel gear are effectively reduced.
The technical scheme adopted by the invention is as follows: a method for analyzing and evaluating the reliability of a transmission fatigue process of a heavy-duty spiral bevel gear with a fixed length and a long service life based on a multi-failure mode comprises the following steps:
respectively researching failure mechanisms of main failure modes of the heavy-duty spiral bevel gear;
step (2), researching the influence of process parameters on the reliability of the failure mode aiming at different single failure modes;
step (3) researching a reliability calculation method for coupling of multiple failure modes;
and (4) calculating the sensitivity of the process parameters to the reliability based on the reliability result, and realizing the evaluation of the process parameters through sensitivity calculation.
Furthermore, in the step (1), the mechanism of the tooth surface roughness, the tooth surface residual stress and the tooth surface hardness to each failure form is researched for the main failure forms of tooth surface fatigue pitting, tooth root bending fracture, tooth surface gluing and tooth surface abrasion of the heavy-duty spiral bevel gear.
Furthermore, in the step (2), for reliability research of a single failure mode, an orthogonal test is designed, the influence rule of different process parameters on the tooth surface roughness, the tooth surface residual stress and the tooth surface hardness is researched, the reliability model of the reliability of the process parameters related to the single failure mode is established by combining the mechanism research of claim 2 and taking the tooth surface roughness, the tooth surface residual stress and the tooth surface hardness as intermediate variables, and the reliability of the single failure modes of tooth surface fatigue pitting, tooth root bending fracture, tooth surface gluing and tooth surface abrasion is solved.
Further, in the step (3), the reliability calculation method for coupling of multiple failure modes is researched, the reliability of the heavy-load spiral bevel gear is calculated by using a series failure model, and the minimum limit value R of the reliability is obtained min (ii) a Calculating the reliability of the heavy-load spiral bevel gear by using a parallel failure model to obtain the maximum limit value R of the reliability max (ii) a When the reliability of the heavy-duty spiral bevel gear is higher, the minimum limit value R of the reliability can be realized min Maximum limit value R of reliability max The difference is very small, namely the reliability value of the heavy-duty spiral bevel gear under the specific working condition is considered to be at the minimum limit value R min With a maximum limit value R max In between.
Further, in the step (4), the manufacturing process parameter is evaluated by the sensitivity, the fluctuation of the process parameter causes the fluctuation of the reliability, and the sensitivity can be recorded by recording the fluctuation of the independent variable as Δ x and the fluctuation of the dependent variable as Δ y by the solution method of approximate derivative
Thus, the reliability sensitivity of each process parameter can be calculated as
In the formula: β (R) represents the sensitivity of variable R to variable a; the variable R represents the reliability of the heavy-duty spiral bevel gear; the variable a represents a process parameter that affects reliability.
And finally, the evaluation of the manufacturing process parameters is realized through the sensitivity.
The principle of the invention is as follows: solving the failure mechanism and reliability based on a single failure mode, and calculating the range of the fixed-length service life reliability of the spiral bevel gear based on multi-failure coupling through the series-parallel relation of the multi-failure modes; and based on the reliability result, evaluating the reliability through sensitivity and optimizing the manufacturing process.
Compared with the prior art, the invention has the beneficial effects that: firstly, the influence weight of different process parameters on the reliability of different failures of the spiral bevel gear can be known by applying the method, and a new method is provided for failure analysis of the spiral bevel gear; secondly, by applying the method, the reliability of the spiral bevel gear coupled by multiple failure modes can be solved on the basis of not knowing the relevance of each failure mode, and a new thought is provided for reliability calculation under multiple influence factors; the method can be used for evaluating the manufacturing and processing technological parameters of the spiral bevel gear with high reliability requirements and optimizing the technological parameters.
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FIG. 1 is a flow chart of an analysis method of the present invention;
Detailed Description
The invention is further described with reference to the accompanying drawings and the specific implementation process.
The invention relates to a method for analyzing and evaluating the reliability of a transmission fatigue process of a heavy-duty spiral bevel gear with fixed length and service life based on a multi-failure mode, which comprises the following steps:
respectively researching failure mechanisms of main failure modes of the heavy-duty spiral bevel gear;
step (2), researching the influence of process parameters on the reliability of the failure mode aiming at different single failure modes;
step (3) researching a reliability calculation method for coupling of multiple failure modes;
and (4) calculating the sensitivity of the process parameters to the reliability based on the reliability result, and realizing the evaluation of the process parameters through sensitivity calculation.
In the step (1), the mechanism of tooth surface roughness, tooth surface residual stress and tooth surface hardness to each failure mode is researched for the main failure modes of tooth surface fatigue pitting, tooth root bending fracture, tooth surface gluing and tooth surface abrasion of the heavy-load spiral bevel gear.
In the step (2), aiming at the reliability research of a single failure mode, an orthogonal test is designed, the influence rule of different process parameters on the tooth surface roughness, the tooth surface residual stress and the tooth surface hardness is researched, the mechanism research of the claim 2 is combined, the reliability model of the reliability of the process parameters related to the single failure mode is established by taking the tooth surface roughness, the tooth surface residual stress and the tooth surface hardness as intermediate variables, and the reliability of several single failure modes of tooth surface fatigue pitting, tooth root bending fracture, tooth surface gluing and tooth surface abrasion is solved.
In the step (3), the reliability calculation method for coupling of multiple failure modes is researched, the reliability of the heavy-load spiral bevel gear is calculated by using a series failure model, and the minimum limit value R of the reliability is obtained min (ii) a Calculating the reliability of the heavy-load spiral bevel gear by using a parallel failure model to obtain the maximum limit value R of the reliability max (ii) a When the reliability of the heavy-duty spiral bevel gear is high, the minimum limit value R of the reliability can be realized min Maximum limit value R of reliability max The difference is very small, namely the reliability value of the heavy-duty spiral bevel gear under a specific working condition is considered to be at the minimum limit value R min With a maximum limit value R max In the meantime.
In the step (4), the manufacturing process parameters are evaluated through sensitivity, the fluctuation of the process parameters causes the fluctuation of reliability, the fluctuation of the independent variable is recorded as deltax, the fluctuation of the dependent variable is recorded as deltay through a solving method of approximate derivatives, and then the sensitivity can be recorded as
Thus, the reliability sensitivity of each process parameter can be calculated as
In the formula: β (R) represents the sensitivity of variable R to variable a; the variable R represents the reliability of the heavy-duty spiral bevel gear; the variable a represents a process parameter that affects reliability.
And finally, the evaluation of the manufacturing process parameters is realized through the sensitivity.
In a word, aiming at the problem of analysis and evaluation of the transmission fatigue reliability of the heavy-duty spiral bevel gear with the fixed length and the service life, the invention takes the processing technological parameters as influencing factors, solves the range of the fatigue reliability of the multiple failure coupling of the spiral bevel gear, and evaluates the manufacturing technological parameters through the sensitivity. Therefore, an important basis is provided for the reliability prediction and process evaluation work of the heavy-duty spiral bevel gear.
Claims (1)
1. A method for analyzing and evaluating reliability of a fixed-length life transmission fatigue process of a heavy-duty spiral bevel gear based on a multi-failure mode is characterized by comprising the following implementation steps of:
respectively researching failure mechanisms of a plurality of main failure modes of heavy-duty spiral bevel gear tooth surface fatigue pitting, tooth root bending fracture, tooth surface gluing and tooth surface abrasion, designing an orthogonal test, and analyzing the influence rule of surface integrity parameters such as tooth surface roughness, tooth surface residual stress, tooth surface hardness and the like on each failure mode;
step (2), aiming at different single failure modes, taking the tooth surface roughness, the tooth surface residual stress and the tooth surface hardness as intermediate variables, establishing a reliability model of the reliability of the process parameters related to the single failure mode, and solving the reliability of the single failure;
step (3) obtaining the minimum limit value R of the reliability based on the series-parallel connection failure model min And a maximum limit value R max When the reliability of the heavy-duty spiral bevel gear is high, the limit value R of the reliability is min And R max The difference is small, and the reliability value of the heavy-duty spiral bevel gear under the specific working condition can be considered to be at the minimum limit value R min With a maximum limit value R max To (c) to (d);
and (4) the fluctuation of the reliability R is caused by the fluctuation of the process parameter a, the sensitivity beta (R) = delta R/delta a of the process parameter to the reliability is calculated on the basis of the reliability result and by a solution method of approximate derivative, and the evaluation of the manufacturing process parameter is realized through the sensitivity calculation.
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| CN201811255112.6A CN109472068B (en) | 2018-10-26 | 2018-10-26 | Method for analyzing and evaluating reliability of transmission fatigue process of heavy-load spiral bevel gear with fixed length and service life based on multiple failure modes |
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Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102393864A (en) * | 2011-06-28 | 2012-03-28 | 电子科技大学 | Method for optimizing reliability of harmonic gear used for space vehicle based on fault physics |
| CN106503350A (en) * | 2016-10-25 | 2017-03-15 | 北京航空航天大学 | A kind of spiral bevel gear long-life based on grinding and heat treatment is driven the method for designing of fatigue reliability |
| CN106649971A (en) * | 2016-10-25 | 2017-05-10 | 北京航空航天大学 | Evaluation method for spiral bevel gear long-life transmission fatigue reliability based on grinding and heat treatment |
| CN107784178A (en) * | 2017-11-09 | 2018-03-09 | 中国兵器科学研究院 | A kind of Analyzing Mechanical Structure Reliability method based on the coupling of multiple faults mechanism |
-
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- 2018-10-26 CN CN201811255112.6A patent/CN109472068B/en active Active
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102393864A (en) * | 2011-06-28 | 2012-03-28 | 电子科技大学 | Method for optimizing reliability of harmonic gear used for space vehicle based on fault physics |
| CN106503350A (en) * | 2016-10-25 | 2017-03-15 | 北京航空航天大学 | A kind of spiral bevel gear long-life based on grinding and heat treatment is driven the method for designing of fatigue reliability |
| CN106649971A (en) * | 2016-10-25 | 2017-05-10 | 北京航空航天大学 | Evaluation method for spiral bevel gear long-life transmission fatigue reliability based on grinding and heat treatment |
| CN107784178A (en) * | 2017-11-09 | 2018-03-09 | 中国兵器科学研究院 | A kind of Analyzing Mechanical Structure Reliability method based on the coupling of multiple faults mechanism |
Non-Patent Citations (2)
| Title |
|---|
| Time-dependent reliability analysis for a herringbone planetary gear set with failure dependency under random loads;Liao Y等;《Journal of Vibroengineering》;20151231;全文 * |
| 机械可靠性的灵敏度研究;莫文辉等;《十堰职业技术学院学报》;20041230(第04期);全文 * |
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