Numerical Methods for Experimental Mechanics
The purpose of this book is to place a resource in the hands of experimental mechanics researchers to enable them to understand and to obtain a working familiarity with certain of the numerical methods particularly useful to the field. The book is organized to permit readers to study the methods and...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer US
2001, 2001
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| Edition: | 1st ed. 2001 |
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| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1. Statistical Evaluation for Data Quality
- 1.1 Statistical Methods and Numerical Methods
- 1.2 The Quality of Recorded Data
- 1.3 Probability and the Binomial Distribution
- 1.4 Application to Experimental Data
- 2. Least-Squares Methods
- 2.1 The Concept of “Least-Squares”
- 2.2 Curve Fitting
- 2.3 The General Application of Linear Least-Squares Solutions
- 2.4 A Procedure for General Application
- 2.5 Factors Affecting the Accuracy of Least-Squares Solutions
- 2.6 Application to “Full Field” Stress Analysis Problems
- 2.7 The Well Posed Problem
- 2.8 Nonlinear Least-Squares Approximations
- 3. The Smoothed Spline
- 3.1 Piecewise Approximation
- 3.2 The Smoothed Spline
- 3.3 Specifying Second Derivatives for the Ends of the Spline
- 3.4 Example Application; Scattered Light Photoelasticity
- 3.5 Example Problem; Deformation and Strain Analysis of Extrusion
- 4. Fourier Transform Methods
- 4.1 The Nature of Repetitive Events
- 4.2 Fourier Series and th