Probability applications in mechanical design /

This text seeks to clarify mechanical fatigue and design problems by applying probability and computer analysis, and further extending the uses of probability to determine mechanical reliability and achieve optimization. It solves examples using commercially available software.

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Main Author: Fisher, Franklin E., 1933-
Other Authors: Fisher, Joy R., 1940-
Format: Book Electronic
Language:English
Published:New York : Marcel Dekker, 2000.
Series:Mechanical engineering (Marcel Dekker, Inc.) ; 128.
Subjects:
Online Access:EBSCOhost - Click to view - Access for Lincoln College students, faculty, and staff only
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Table of Contents:
  • Preface
  • List of Symbols
  • Chapter 1. Data Reduction
  • I.. Reduction of Raw Tabulated Test Data or Published Bar Charts
  • II.. Weibull Equation Variations
  • III.. Plotting Raw Tabulated Test Data or Using Published Bar Charts
  • A.. Weibull
  • B.. Gaussian
  • IV.. Confidence Levels
  • A.. Gaussian distribution
  • 1.. Students t distribution
  • 2.. Chi-square distribution
  • 3.. One sided tolerance limit
  • 4.. Estimate of the Mean
  • 5.. Larger data samples N] 30
  • B.. Weibull distribution
  • V.. Goodness of Fit Tests
  • A.. Anderson-Darling test for normality
  • B.. Anderson-Darling test for Weibullness
  • C.. Qualification of tests
  • VI.. Priority on Processing Raw Data
  • References
  • Problems
  • Chapter 2. Application of Probability to Mechanical Design
  • I.. Probability
  • II.. Bayes Theorem
  • III.. Decision Trees
  • IV.. Variance
  • A.. Total Differential of the Variance
  • B.. Card Sort Solution Estimate of Variance
  • C.. Computer Estimate of Variance and Distribution
  • V.. Safety Factors and Probability of Failure
  • VI.. Fatigue
  • A.. Some Factors Influencing Fatigue Behavior
  • 1.. Surface condition, k[subscript a]
  • 2.. Size and shape, k[subscript b]
  • 3.. Reliability, k[subscript c]
  • 4.. Temperature, k[subscript d]
  • 5.. Stress concentration, k[subscript e]
  • 6.. Residual stress, k[subscript f]
  • 7.. Internal Structure, k[subscript g]
  • 8.. Environment, k[subscript h]
  • 9.. Surface treatment and hardening, k[subscript i]
  • 10.. Fretting, k[subscript j]
  • 11.. Shock or vibration loading, k[subscript k]
  • 12.. Radiation, k[subscript l]
  • 13.. Speed
  • 14.. Mean stress
  • B.. Fatigue Properties of Materials
  • 1.. Bending
  • 2.. Contact
  • 3.. Low cycle fatigue using strain
  • C.. [sigma subscript r]-[sigma subscript m] curves
  • 1.. Mean curve
  • 2.. Card sort
  • D.. Fatigue Considerations in Design Codes
  • E.. Summary for Fatigue Calculations
  • F.. Monte Carlo Fatigue Calculations
  • G.. Bounds on Monte Carlo Fatigue Calculations
  • 1.. The minimum P[subscript f] for a structural member stress s[subscript 1]
  • 2.. t and P[subscript f] in terms of the safety factor N
  • H.. Approximate Dimension Solution Using Cardsort and Lower Material Bounds
  • References
  • Problems
  • Chapter 3. Optimum Design
  • I.. Fundamentals
  • A.. Criterion Function
  • B.. Functional Constraints
  • C.. Regional Constraints
  • II.. Industry Optimal Goals
  • A.. Flight Vehicles
  • B.. Petro or Chemical Plants
  • C.. Main and Auxiliary Power and Pump Units
  • D.. Instruments and Optical Sights
  • E.. Building or Bridges
  • F.. Ships or Barges
  • III.. Optimization by Differentiation
  • IV.. Lagrangian Multipliers
  • V.. Optimization with Numerical Methods
  • VI.. Linear Optimization with Functional Constraints
  • A.. Simplex method
  • VII.. Nonlinear Programming
  • VIII.. Geometric Programming
  • References
  • Problems
  • Chapter 4. Reliability
  • I.. Introduction
  • II.. Reliability for a General Failure Curve
  • III.. Reliability for a Rate of Failure Curve
  • IV.. Reliability for a Constant Rate of Failure Curve
  • V.. Gaussian (Normal) Failure Curve
  • VI.. Configuration Effects on Reliability
  • A.. Series System
  • B.. Parallel System
  • C.. Series-Parallel Systems
  • D.. Reliability of Series Components
  • E.. Reliability of Parallel Components
  • F.. Reliability of Standby Components
  • References
  • Problems
  • Appendix A. Linearization of the Weibull Equation
  • Appendix B. Monte Carlo Calculations
  • Appendix C. Computer Optimization Routines
  • Appendix D. Mechanical Failure Rates for Non-Electronic Reliability
  • Appendix E. Statistical Tables
  • Appendix F. Los Angeles Rainfall 1877-1997
  • Appendix G. Software Considerations
  • Author Index
  • Subject Index

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