Reliability Calculations with the Stochastic Finite Element presents different methods of reliability analysis for systems. Chapters explain methods used to analyze a number of systems such as single component maintenance system, repairable series system, rigid rotor balance, spring mechanics, gearbox design and optimization, and nonlinear vibration.
The author proposes several established and new methods to solve reliability problems which are based on fuzzy systems, sensitivity analysis, Monte Carlo simulation, HL-RF methods, differential equations, and stochastic finite element processing, to name a few.
This handbook is a useful update on reliability analysis for mechanical engineers and technical apprentices.
Table of Contents
Chapter 1 Fuzzy Reliability
- Introduction
- Fuzzy Reliability of Single Component Maintenance System
- Transition Fuzzy Probability
- Fuzzy Validity of the System
- Fuzzy Reliability of the System
- Fuzzy Reliability of Repairable Series System
- Fuzzy Comprehensive Evaluation Method of Reliability Distribution
- Fuzzy Comprehensive Evaluation of Subsystem
- Fuzzy Method of Reliability Distribution
- Fuzzy Optimization Method
- Fuzzy Optimization Method for Series System
- Concluding Remarks
- Consent for Publication
- Conflict of Interest
- Acknowledgements
- References
Chapter 2 Reliability Calculation
- Instruction
- Reliability of Rigid Rotor Balance
- Reliability Calculation of Static Balance
- Reliability Calculation of Dynamic Balance
- Monte Carlo Simulation of Gear Reliability Calculation
- Reliability Calculation Based on Sensitivity Analysis
- The Reliability of Spring
- Concluding Remarks
- Consent for Publication
- Conflict of Interest
- Acknowledgements
- References
Chapter 3 Reliability-Based Optimization Design
- Introduction
- Reliability-Based Optimization Design Using Hl-Rf
- The Importance of Sampling-Based Optimization Design for the Gearbox
- Multi-Objective Reliability-Based Fuzzy Optimization Design for the Gearbox
- Concluding Remarks
- Consent for Publication
- Conflict of Interest
- Acknowledgements
- References
Chapter 4 Perturbation Stochastic Finite Element of Mechanical
- Vibration
- Introduction
- Perturbation Stochastic Finite Element of Mechanical Vibration
- An Improved Method of Perturbation Stochastic Finite Element
- Concluding Remarks
- Consent for Publication
- Conflict of Interest
- Acknowledgements
- References
Chapter 5 Stochastic Finite Element Method of Dynamic Reliability
- Introduction
- Dynamic Reliability of Structure Using the Successive Over
- Relaxation Method
- Dynamic Reliability of Structure Using Neumann Stochastic
- Finite Element
- Concluding Remarks
- Consent for Publication
- Conflict of Interest
- Acknowledgements
- References
Chapter 6 Optimization Design of Stochastic Finite Element
- Introduction
- Optimization Model
- Calculation of Mean and Variance of Dynamic Stress
- Comparison of Design Parameters
- Concluding Remarks
- Consent for Publication
- Conflict of Interest
- Acknowledgements
- References
Chapter 7 Stochastic Finite Element for Nonlinear Vibration
- Instruction
- Taylor Expansion Method
- Perturbation Technology
- Newton Method
- The Homotopy Perturbation Method
- Concluding Remarks
- Consent for Publication
- Conflict of Interest
- Acknowledgements
- References
- Subject Index
Author
- Wenhui Mo
