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Reliability sensitivity analysis based on stress-strength model of bearing with random parameters
Hongchuan Cheng1, Yimin Zhang2, Wenjia Lu1
1School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110819, China.
The Review of Scientific Instruments
|August 6, 2020
Summary
This study examines ball bearing reliability sensitivity using a stress-strength model with random parameters. It identifies key factors influencing raceway strength and provides guidance for bearing design and manufacturing.
Area of Science:
- Mechanical Engineering
- Reliability Engineering
- Materials Science
Background:
- Ball bearings are critical components in many mechanical systems.
- Understanding the reliability of bearing raceway strength under random parameter variations is essential for preventing failures.
- Existing models often lack detailed sensitivity analysis regarding material properties and operational conditions.
Purpose of the Study:
- To investigate the reliability sensitivity of ball bearing raceway strength based on a stress-strength model with random parameters.
- To determine the influence of various parameters on maximum orthogonal shear stress at different rotational speeds.
- To provide theoretical guidance for optimizing bearing design, production, and usage.
Main Methods:
- Utilized a stress-strength model incorporating normally distributed random parameters for ball bearings.
- Employed Latin hypercube sampling to generate parameter samples and calculate maximum orthogonal shear stress.
- Applied genetic algorithm-back propagation neural network fitting to derive an explicit shear stress expression.
- Established a limit-state equation using the yield limit of bearing materials.
- Calculated strength reliability via the improved first-order second-moment method, validated by Monte Carlo simulation.
- Analyzed reliability sensitivity concerning the mean and standard variance of random variables.
Main Results:
- Identified the sensitivity of maximum shear stress to different parameters across various rotational speeds.
- Quantified the strength reliability of the bearing raceway.
- Determined the impact of parameter variations (mean and standard variance) on overall reliability.
- Validated the reliability assessment through Monte Carlo simulations.
Conclusions:
- The study provides a robust method for assessing ball bearing reliability sensitivity.
- The findings offer crucial insights into how parameter uncertainties affect bearing performance and lifespan.
- This research serves as a valuable reference for enhancing the reliability and safety of bearing applications.
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