Sealing reliability and reliability sensitivity analysis of the piston–cylinder bore friction pair in a hydraulic pump under incomplete probability information

Zhang, Tianxiao; Wang, Xianming

doi:10.1080/15397734.2020.1864745

Cited by 2 publications

(2 citation statements)

References 24 publications

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“…Using the reliability index equation (40) and reliability equation (41) of the high-order moment method of reliability analysis [31,32], the sensitivities of the reliability R t to the mean vector μ X and standard deviation vector σ X of the basic random variable vector X are derived, respectively:…”

Section: Reliability Sensitivity Analysismentioning

confidence: 99%

Reliability and Reliability Sensitivity Analysis of Rolling Bearings Based on Contact Fatigue under Finite Probability Information

Wang

Zhou

Zhang

2022

Mathematical Problems in Engineering

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The probability information of random variables is frequently finite in the rolling bearing contact fatigue reliability design process, making it impossible to calculate the reliability index or rolling bearing reliability accurately. In this study, the dynamic model of rolling bearings is established, the Box–Behnken design and the response surface method are combined to obtain the mapping relationship between random variables, and the rolling bearing reliability design model is established with the strength obeying gamma process. The transient reliability, cumulative reliability, and reliability sensitivity analysis methods based on contact fatigue under finite probability information are used to calculate the change law and size order of the rolling bearing reliability affected by the change of each basic random variable. Finally, we apply this research method to analyse the reliability of a certain type of angular contact ball bearing compared with the Monte Carlo simulation method. This demonstrates that the method presented in this study is correct and effective.

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Section: Reliability Sensitivity Analysismentioning

confidence: 99%

Reliability and Reliability Sensitivity Analysis of Rolling Bearings Based on Contact Fatigue under Finite Probability Information

Wang

Zhou

Zhang

2022

Mathematical Problems in Engineering

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“…By applying the perturbation technique and mechanical reliability theory, the mean μ g , standard deviation σ g , third moment θ g , and fourth moment η g of the state function for reliability design are obtained by mathematical derivation as follows 27 :…”

Section: Reliability Design and Reliability Sensitivity Analysismentioning

confidence: 99%

Plastic deformation-based rolling bearing reliability and sensitivity analysis under incomplete probability information

Wang

Zhang

2022

Advances in Mechanical Engineering

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It is currently difficult to adequately characterize the probability distribution information of rolling bearings, and research on the reliability of rolling bearings based on plastic deformation is lacking. To address this problem, the Latin hypercube design, BP neural networks, and higher-order moment method are combined, fully considering the randomness of the load, geometry, and material parameters of the rolling bearing. The dynamics model of the rolling bearing was constructed by using the Hertz contact theory and Jones model, combined with a Latin hypercube design to obtain neural network training samples. Based on the rational construction of the neural network structure, the mapping relationship between the equivalent stress and the design variables is obtained. The state function of the rolling bearing is constructed according to the stress–strength interference model, and then, the reliability index and reliability of the rolling bearing are obtained using the higher-order moment method, followed by a reliability sensitivity analysis. Finally, the proposed method is applied to the reliability analysis of a certain type of angular contact ball bearing, and the calculation results are compared with the Monte Carlo method results to demonstrate the correctness and effectiveness of the proposed method.

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Sealing reliability and reliability sensitivity analysis of the piston–cylinder bore friction pair in a hydraulic pump under incomplete probability information

Cited by 2 publications

References 24 publications

Reliability and Reliability Sensitivity Analysis of Rolling Bearings Based on Contact Fatigue under Finite Probability Information

Reliability and Reliability Sensitivity Analysis of Rolling Bearings Based on Contact Fatigue under Finite Probability Information

Plastic deformation-based rolling bearing reliability and sensitivity analysis under incomplete probability information

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