Variational Methods in Nonconservative Phenomena

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Series: Mathematics in science and engineering 182

ISBN: 0127284508, 9780127284507, 9780080926421

Size: 2 MB (1955661 bytes)

Pages: iii-x, 1-370/382

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B.D. Vujanovic and S.E. Jones (Eds.)0127284508, 9780127284507, 9780080926421

This book provides a comprehensive survey of analytic and approximate solutions of problems of applied mechanics, with particular emphasis on nonconservative phenomena. Include

Table of contents :
Content:
Edited by
Page iii

Copyright page
Page iv

Preface
Pages ix-x
B.D. Vujanovic, S.E. Jones

Chapter 1 A Brief Account of the Variational Principles of Classical Holonomic Dynamics
Pages 1-44

Chapter 2 Variational Principles and Lagrangians
Pages 45-73

Chapter 3 Conservation Laws
Pages 74-151

Chapter 4 A Study of the Motion of Conservative and Nonconservative Dynamical Systems by Means of Field Theory
Pages 152-239

Chapter 5 Variational Principles with Vanishing Parameters and Their Applications
Pages 240-305

Chapter 6 Variational Principles with Uncommutative Rules and Their Applications to Nonconservative Phenomena
Pages 306-331

Chapter 7 Applications of Gauss’s Principle of Least Constraint to Nonconservative Phenomena
Pages 332-361

Author Index
Pages 363-365

Index
Pages 367-370

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