Variational Methods and Complementary Formulations in Dynamics by C. TabarrokVariational Methods and Complementary Formulations in Dynamics by C. Tabarrok

Variational Methods and Complementary Formulations in Dynamics

byC. Tabarrok, F.P. Rimrott

Paperback | October 28, 2010

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Variational methods provide a versatile framework for several branches of theoretical mechanics. For problems in dynamics, variational formulations provide a powerful alternative to vector methods. This approach has a rich legacy of ideas advanced by numerous researchers including such celebrated mathematicians as d'Alembert, Lagrange, Hamilton, Jacobi, Gauss and Euler. In this volume, the subject matter is developed systematically with many worked-out problems. Initially, differential variational formulations are described followed by the integral formulations. A detailed account of the essentials of the calculus of variations is provided. While classical formulations in dynamics have a long history, the complementary formulations are relatively new. This book is the first to provide a detailed development of complementary formulations and also highlights certain dualities that are revealed as a consequence of the two formulations. A chapter on special applications studies problems of small amplitude oscillations about equilibrium and steady state configurations, and the problem of impulsive or spike loads. The book ends with historical sketches of the personalities associated with variational methods in dynamics. For structural, mechanical and aeronautical engineers. This volume can also be recommended as a graduate text in analytic dynamics.
Title:Variational Methods and Complementary Formulations in DynamicsFormat:PaperbackDimensions:380 pagesPublished:October 28, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048144221

ISBN - 13:9789048144228

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Table of Contents

Preface. I. Fundamentals. II. Differential Variational Formulations. III. Integral Variational Formulations. IV. Canonical Transformations and the Hamilton--Jacobi Equation. V. Rigid Body Dynamics. VI. Special Applications. Appendix A. The Calculus of Variations. Appendix B. Developments in Mechanics -- Some Historical Perspectives. Author Index. Subject Index.