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Mechanical Engineering : Mechanical Engineering Series - David G. Hull

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Mechanical Engineering

By: David G. Hull

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Hardcover | 30 July 2003

At a Glance

Hardcover
412 Pages

Dimensions(cm)
24.77 x 16.51 x 1.91

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Mechanical engineering, an engineering discipline born of the needs of the in- dustrial revolution, is once again asked to do its substantial share in the call for industrial renewal. The general call is urgent as we face profound issues of productivity and competitiveness that require engineering solutions, among others. The Mechanical Engineering Series is a series featuring graduate texts and research monographs intended to address the need for information in con- temporary areas of mechanical engineering. The series is conceived as a comprehensive one that covers a broad range of concentrations important to mechanical engineering graduate education and research. We are fortunate to have a distinguished roster of consulting editors, each an expert in one of the areas of concentration. The names of the consulting editors are listed on page ii of this volume. The areas of concentration are applied mathematics, biomechanics, computational mechanics, dynamic systems and control, energetics, mechanics of materials, processing, thermal science, and tribology. Austin, Texas Frederick F. Ling Preface Optimization is an area of mathematics that is concerned with finding the "best" points, curves, surfaces, and so on. "Best" is determined by minimizing some measure of performance subject to equality and inequality constraints. Points are constrained by algebraic equations; curves are constrained by or- dinary differential equations and algebraic equations; surfaces are constrained by partial differential equations, ordinary differential equations, and algebraic equations.

Industry Reviews

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"It presents a unified approach to the conversion of nonlinear optimal control problems into parameter optimizations for numerical solutions. ... the book is written in a way that is very accessible to the audience. The selection of topics is useful and coherent, and the book is well organized. ... is highly effective in explaining basic ideas of optimal control. ... It can also be a useful reference to engineers and researchers who want to use applied optimal control theories for solving engineering problems ... ." (Yiyuan J. Zhao, International Journal of Robust and Nonlinear Control, Vol. 15 (17), 2005)

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Paperback

Published: 1st December 2010

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Preface
Introduction to Optimization	p. 1
Parameter Optimization
Unconstrained Minimization	p. 18
Constrained Minimization: Equality Constraints	p. 42
Constrained Minimization: Inequality Constraints	p. 59
Minimization Using Matrix Notation	p. 76
Optimal Control Theory
Differentials in Optimal Control	p. 88
Controllability	p. 103
Simplest Optimal Control Problem	p. 114
Fixed Final Time: First Differential	p. 140
Fixed Final Time: Tests for a Minimum	p. 166
Fixed Final Time: Second Differential	p. 173
Fixed Final Time Guidance	p. 199
Free Final Time	p. 221
Parameters	p. 247
Free Initial Time and States	p. 258
Control Discontinuities	p. 275
Path Constraints	p. 293
Approximate Solutions
Approximate Solutions of Algebraic Equations	p. 318
Approximate Solutions of Differential Equations	p. 327
Approximate Solutions of Optimal Control Problems	p. 338
Conversion into a Parameter Optimization Problem	p. 350
First and Second Differentials by Taylor Series Expansion	p. 366
References	p. 373
Index	p. 377
Table of Contents provided by Blackwell. All Rights Reserved.

Mechanical Engineering

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Hardcover

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