Ebook: Vibration of Discrete and Continuous Systems

Mechanical engineering, an engineering discipline borne of the needs of the industrial 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 features 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 on the advisory board, each an expert in one of the areas of concen­ tration. The names of the consulting editors are listed on the next page of this volume. The areas of concentration are: applied mechanics; bio­ mechanics; computational mechanics; dynamic systems and control; energetics; mechanics of materials; processing; thermal science; and tribology. Professor Marshek, the consulting editor for dynamic systems and control, and I are pleased to present the second edition of Vibration of Discrete and Continuous Systems by Professor Shabana. We note that this is the second of two volumes. The first deals with the theory of vibration.

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This text, which is intended to follow the author's Theory of Vibration: An Introduction, aims to further the understanding, both physical and mathematical, of the theory of vibration and its applications, here focusing on discrete and continuous systems. As in the previous volume, the text develops the techniques used to analyze vibrations in mechanical and structural systems from their foundations rationally and in clearly understandable stages. Intended for a graduate course in the theory of vibration, the explanations of procedures and details are easily understandable by students. A new chapter on computer methods for the eigenvalue problem has been added for this edition; it includes discussions of the similarity transformation, generalized eigenvectors, the Jacobi method, the Householder transformation, and QR decomposition.

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This text, which is intended to follow the author's Theory of Vibration: An Introduction, aims to further the understanding, both physical and mathematical, of the theory of vibration and its applications, here focusing on discrete and continuous systems. As in the previous volume, the text develops the techniques used to analyze vibrations in mechanical and structural systems from their foundations rationally and in clearly understandable stages. Intended for a graduate course in the theory of vibration, the explanations of procedures and details are easily understandable by students. A new chapter on computer methods for the eigenvalue problem has been added for this edition; it includes discussions of the similarity transformation, generalized eigenvectors, the Jacobi method, the Householder transformation, and QR decomposition.
Content:
Front Matter....Pages i-xv
Introduction....Pages 1-52
Lagrangian Dynamics....Pages 53-97
Multi-Degree of Freedom Systems....Pages 98-187
Vibration of Continuous Systems....Pages 188-267
The Finite-Element Method....Pages 268-331
Methods for the Eigenvalue Analysis....Pages 332-366
Back Matter....Pages 367-395

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This text, which is intended to follow the author's Theory of Vibration: An Introduction, aims to further the understanding, both physical and mathematical, of the theory of vibration and its applications, here focusing on discrete and continuous systems. As in the previous volume, the text develops the techniques used to analyze vibrations in mechanical and structural systems from their foundations rationally and in clearly understandable stages. Intended for a graduate course in the theory of vibration, the explanations of procedures and details are easily understandable by students. A new chapter on computer methods for the eigenvalue problem has been added for this edition; it includes discussions of the similarity transformation, generalized eigenvectors, the Jacobi method, the Householder transformation, and QR decomposition.
Content:
Front Matter....Pages i-xv
Introduction....Pages 1-52
Lagrangian Dynamics....Pages 53-97
Multi-Degree of Freedom Systems....Pages 98-187
Vibration of Continuous Systems....Pages 188-267
The Finite-Element Method....Pages 268-331
Methods for the Eigenvalue Analysis....Pages 332-366
Back Matter....Pages 367-395
....