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E-raamat: Probability Applications in Mechanical Design

Edited by (Loyola Marymount University, Los Angeles, California, USA)
  • Formaat: 304 pages
  • Sari: Mechanical Engineering
  • Ilmumisaeg: 15-Jun-2000
  • Kirjastus: Marcel Dekker Inc
  • Keel: eng
  • ISBN-13: 9781135553159
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  • Formaat: 304 pages
  • Sari: Mechanical Engineering
  • Ilmumisaeg: 15-Jun-2000
  • Kirjastus: Marcel Dekker Inc
  • Keel: eng
  • ISBN-13: 9781135553159

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Clarifies fatigue and design problems by applying probability and computer analysis. Provides data reduction techniques for fitting experimental failure data to a statistical distribution, considering only Gaussian and Weibull distributions. Applies probability and computer analysis to fatigue, design, and variations of both, then develops concepts of optimization, presents techniques of geometric programming, and compares solutions to sample problems with computer-generated nonlinear programming solutions. Reliability is developed for mechanical systems and some failure rate data is presented. Includes chapter problems. Franklin Fisher teaches mechanical engineering at Loyola Marymount University. Joy Fisher is a consultant. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Preface iii
List of Symbols
ix
Data Reduction
1(38)
Reduction of Raw Tabulated Test Data or Published Bar Charts
1(3)
Weibull Equation Variations
4(1)
Plotting Raw Tabulated Test Data or Using Published Bar Charts
4(1)
Weibull
4(1)
Gaussian
5(1)
Confidence Levels
5(6)
Gaussian distribution
6(1)
Students t distribution
6(1)
Chi-square distribution
6(1)
One sided tolerance limit
6(1)
Estimate of the Mean
6(3)
Larger data samples N > 30
9(1)
Weibull distribution
9(2)
Goodness of Fit Tests
11(2)
Anderson-Darling test for normality
12(1)
Anderson-Darling test for Weibullness
12(1)
Qualification of tests
12(1)
Priority on Processing Raw Data
13(26)
References
26(2)
Problems
28(11)
Application of Probability to Mechanical Design
39(106)
Probability
39(3)
Bayes Theorem
42(2)
Decision Trees
44(3)
Variance
47(9)
Total Differential of the Variance
47(4)
Card Sort Solution Estimate of Variance
51(5)
Computer Estimate of Variance and Distribution
56(1)
Safety Factors and Probability of Failure
56(10)
Fatigue
66(79)
Some Factors Influencing Fatigue Behavior
69(1)
Surface condition, ka
70(1)
Size and shape, kb
71(1)
Reliability, kc
72(1)
Temperature, kd
73(1)
Stress concentration, ke
74(5)
Residual stress, kf
79(2)
Internal Structure, kg
81(1)
Environment, kh
82(1)
Surface treatment and hardening, ki
82(1)
Fretting, kj
83(1)
Shock or vibration loading, kk
84(1)
Radiation, kl
84(1)
Speed
84(1)
Mean stress
85(2)
Fatigue Properties of Materials
87(3)
Bending
90(1)
Contact
91(2)
Low cycle fatigue using strain
93(2)
σr--σm curves
95(8)
Mean curve
103(2)
Card sort
105(2)
Fatigue Considerations in Design Codes
107(1)
Summary for Fatigue Calculations
107(6)
Monte Carlo Fatigue Calculations
113(13)
Bounds on Monte Carlo Fatigue Calculations
126(1)
The minimum Pf for a structural member stress sl
126(3)
t and Pf in terms of the safety factor N
129(2)
Approximate Dimension Solution Using Cardsort and Lower Material Bounds
131(3)
References
134(3)
Problems
137(8)
Optimum Design
145(42)
Fundamentals
145(1)
Criterion Function
145(1)
Functional Constraints
145(1)
Regional Constraints
146(1)
Industry Optimal Goals
146(3)
Flight Vehicles
146(1)
Petro or Chemical Plants
147(1)
Main and Auxiliary Power and Pump Units
147(1)
Instruments and Optical Sights
148(1)
Building or Bridges
148(1)
Ships or Barges
149(1)
Optimization by Differentiation
149(3)
Lagrangian Multipliers
152(2)
Optimization with Numerical Methods
154(1)
Linear Optimization with Functional Constraints
155(2)
Simplex method
155(2)
Nonlinear Programming
157(10)
Geometric Programming
167(20)
References
182(1)
Problems
183(4)
Reliability
187(36)
Introduction
187(2)
Reliability for a General Failure Curve
189(2)
Reliability for a Rate of Failure Curve
191(2)
Reliability for a Constant Rate of Failure Curve
193(7)
Gaussian (Normal) Failure Curve
200(3)
Configuration Effects on Reliability
203(20)
Series System
203(1)
Parallel System
203(1)
Series-Parallel Systems
204(2)
Reliability of Series Components
206(1)
Reliability of Parallel Components
207(1)
Reliability of Standby Components
208(10)
References
218(1)
Problems
219(4)
Appendix A Linearization of the Weibull Equation 223(2)
Appendix B Monte Carlo Calculations 225(2)
Appendix C Computer Optimization Routines 227(4)
Appendix D Mechanical Failure Rates for Non-Electronic Reliability 231(28)
Appendix E Statistical Tables 259(8)
Appendix F Los Angeles Rainfall 1877-1997 267(2)
Appendix G Software Considerations 269(2)
Author Index 271(2)
Subject Index 273


Fisher\, Franklin