Revival: Practical Inverse Analysis in Engineering (1997): 1st Edition (Paperback) book cover

Revival: Practical Inverse Analysis in Engineering (1997)

1st Edition

By David M Trujillo, Henry R Busby

CRC Press

250 pages

Purchasing Options:$ = USD
Paperback: 9781138561311
pub: 2019-02-20
$55.95
x
Hardback: 9781138105683
pub: 2017-10-02
$205.00
x
eBook (VitalSource) : 9780203710951
pub: 2017-11-22
from $27.98


FREE Standard Shipping!

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 that 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 also 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 programming software lets readers try the methods presented in the text.

Reviews

"The authors have written an excellent book that presents mathematical tools to combine real world measurements and mathematical models to create improved models for engineering systems or other physical processes."

-Applied Mechanics Review, March 1999

Table of 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

About the Series

CRC Press Revivals

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied
TEC009070
TECHNOLOGY & ENGINEERING / Mechanical