Approximate Methods in Engineering Design
Erschienen am 14. Mai 2014
398 Seiten
978-0-08-095663-3 (ISBN)
Beschreibung
Approximate Methods in Engineering Design
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Inhalt
- Front Cover
- Approximate Methods in Engineering Design
- Copyright Page
- Contents
- Preface
- Chapter 1. Approximate Correlations
- 1.1 Taylor's Series
- 1.2 Linear Interpolation
- 1.3 Newton's Method
- 1.4 Iterative Method
- 1.5 Checking for Convergence
- 1.6 Inversion Technique
- 1.7 Estimation of Errors
- 1.8 Least Square Method
- 1.9 Finite Difference Equations
- Chapter 2. Theory of Errors
- 2.1 Definition of Errors
- 2.2 Rounding off Last Figures
- 2.3 Operations with Approximate Numbers
- 2.4 Error of a Function
- 2.5 The Inverse Problem
- 2.6 Influence on Design
- Chapter 3. Statistical Errors-Empirical Correlations
- 3.1 Statistical Design Factors
- 3.2 Tolerance and Standard Deviation
- 3.3 Reliability of Fatigue Calculations
- 3.4 Dynamic Life/Load Capacity of Rolling Element Bearings
- 3.5 Effect of Misalignment of the Life of Rolling Element Bearings
- Chapter 4. Types of Distributions
- 4.1 The Binomial Distribution
- 4.2 Poisson's Distribution
- 4.3 Continuous Probability Distributions
- 4.4 Pattern of Failure Rates of Mechanical Equipment
- 4.5 Weibull Probability Distributions
- 4.6 The Normal (Gaussian) Distribution
- 4.7 Grouped Frequencies
- 4.8 Distribution of Errors
- 4.9 Effects of Sample Size
- Chapter 5. The Algebra of Random Numbers
- 5.1 Definitions
- 5.2 Basic Statistical Theory
- 5.3 Partial Derivative Method
- 5.4 Examples of Algebraic Derivations
- 5.5 Correlation Coefficients
- 5.6 Confidence Limits
- 5.7 Examples
- Chapter 6. Variabilities of Material Properties
- Chapter 7. Reliability
- 7.1 Component Reliability
- 7.2 Reliability and Safety Factors
- 7.3 Reliability of Assemblies and Systems
- 7.4 The Role of Design in Achieving Reliability
- 7.5 Case Studies
- Chapter 8. Machine Failure
- 8.1 Definition of Machine Failure
- 8.2 Origins of Machine Failures
- 8.3 Causes of Machine Failures
- 8.4 Failure Diagnosis
- 8.5 Mechanisms of Component Failures
- Chapter 9. Modelling
- 9.1 Shear Stress Distribution in a Thin Tubular Cylinder
- 9.2 Shear Stress Distribution across Diamond-shaped Section
- 9.3 Shear Centre of Channel Section Beam
- 9.4 Estimating the Interference Pressure between a Spring-clip and Shaft
- 9.5 Reversibility or Non-reversibility of Machines
- 9.6 Fatigue Failures of Burnishing Rollers
- 9.7 Base Plate Bolt Loads
- 9.8 Assessment of Spring force for Poppet Valve Assembly
- 9.9 Inequality of Forced and Natural Frequencies
- 9.10 Manufacturing Tolerances and Probability of Performance Achievement
- Solutions
- Subject Index
