Practical Inverse Analysis in Engineering

Author - David M. Trujillo

TRUCOMP, Fountain Valley, California

Henry R. Busby

Department of Mechanical Engineering, The Ohio State University

Description | Features | Contents | Audience | Publication Information and Price

Powerful tools for formulating and solving inverse problems

A Volume in the Mechanical Engineering Series

Series Editor Frank Kulacki

Improve your models by transforming mathematical ideas into practical computer programs

Description

Continuing advances in computer technology have made it possible for engineers and scientists to construct increasingly realistic models of physical processes. Practical Inverse Analysis in Engineering addresses an important area of engineering th at will become even more significant to engineers and scientists -- combining measurements with engineering models. This self-contained text presents applied mathematical tools for bridging the gap between real-world measurements and mathematical models.

The book demonstrates how to treat "ill-conditioned" inverse analysis problems - those problems where the solution is extremely sensitive to the data -- with the powerful theory of dynamic programming. A second theory, generalized-cross-validation, is als o discussed as a useful partner in handling real data. The material in the book, much of it published for the first time, presents theories in a general unified setting, so readers can apply the information to their models. A disk containing DYNAVAL progr amming software lets readers try the methods presented in the text.

Go to Top

Features

• Presents practical mathematical tools for bridging the gap
  between real-world measurements and mathematical models
• Covers "ill-conditioned" problems in inverse analysis
• Examines the theories of dynamic programming and
  generalized-cross-validation
• Incorporates practical examples
• Includes DYNAVAL programming software

Go to Top

Audience

• Upper-level and graduate students in engineering and mathematics
• Practicing engineers
• Research scientists

Go to Top

Contents

• Dynamic Programming System
  • Introduction
  • The Simplest Exchange
  • Bellman's Principle of Optimality
  • First-Order Dynamic System
  • General Multidimensional System
  • Optimal Control as a Multistage Decision Process
• Matrices and Differential Equations
  • Introduction
  • Vector-Matrix Calculus
  • The Exponential Matrix
  • Approximations to the Exponential Matrix
  • Eigenvalue Reduction
• The General Inverse Problem
  • Introduction
  • Generalized Cross Validation
  • Dynamic Programming and Generalized Cross Validation
  • Chandrasekhar Equations
• The Inverse Heat Conduction Problem
  • Introduction
  • One-Dimensional Example
  • Two-Dimensional Example
  • Eigenvalue Reduction Technique
  • L-Curve Analysis
• The Inverse Structural Dynamics Problem
  • Introduction
  • Single-Degree-of-Freedom
  • Cantilever Beam Problem
  • Two-Dimensional Plate Problem
• Smoothing and Differentiating Noisy Data
  • Introduction
  • Polynomial Approximation
  • Filtering a 60 Hz Signal
  • Frequency Analysis
  • Two-Dimensional Smoothing
• Nonlinear Systems
  • Introduction
  • Linearization Methods
  • Nonlinear Inverse Heat Conduction
  • Nonlinear Spring Example
  • Successive Approximation in Policy Space
• Sequential Estimation and System Identification
  • Introduction
  • Sequential Estimation
  • Multidimensional Sequential Estimation
  • Extended Levenberg-Marquardt's Method
• Bibliography
• Appendix A. DYNAVAL: A Computer Program for the Solution of the General Inverse Problem Using Dynamic Programming and Generalized Cross-Validation
• Index

Go to Top

Publication and Pricing

Catalog number 9659

July 1997, 256 pp., 6x9, ISBN: 0-8493-9659-X

U.S. $119.95

How to Order

Go to Top

CRC Press Order Information

• Connect to our secure server and place your order online.

• Visiting from outside the United States? Find out more information about our international representative.

• You can also call us at 1-800-272-7737 if you are calling from within the continental USA. Please ask for Customer Service. Customers in Florida and outside of the continental USA please call (561) 994-0555.

• You can also FAX in your order to: 1-800-374-3401.

• Join our Mailing List for more information and timely updates about our products.

• Attention Professors! Be sure to check out CRC Press' Textbook Evaluation Program, and fill out a request online.

Or, write us at:

CRC Press LLC
2000 Corporate Blvd., N.W.
Boca Raton, FL 33431
attn: Customer Service