Ebook: Nonlinear Analysis of Thin-Walled Structures: Statics, Dynamics, and Stability

Mechanical engineering, an engineering discipline born 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 the profound issues of productivity and competitiveness that require engineering solutions, among others. The Mechanical Engineering Series is a new series, featuring graduate texts and research monographs, intended to address the need for information in contemporary areas of mechanical engineering. The series is conceived as a comprehensive one that will cover 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 consult­ ing editors are listed on page vi. The areas of concentration are applied mechanics, biomechanics, computational mechanics, dynamic systems and control, energetics, mechanics of materials, processing, thermal science, and tribology. We are pleased to present Nonlinear Analysis of Thin-Walled Structures by James F. Doyle. Austin, Texas Frederick F. Ling Preface This book is concerned with the challenging subject of the nonlinear static, dynamic, and stability analyses of thin-walled structures. It carries on from where Static and Dynamic Analysis of Structures, published by Kluwer 1991, left off; that book concentrated on frames and linear analysis, while the present book is focused on plated structures, nonlinear analysis, and a greater emphasis on stability analysis.

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This book deals with the computational analysis of thin-walled structures such as aircraft, ships, and containment vessels. Building on the author's earlier book Static and Dynamic Analysis of Structures, it shows how to use computational methods to tackle some of the fundamental problems of structural mechanics, with particular emphasis on nonlinear phenomena. Where the earlier book dealt with linear systems, the central theme running through this volume is the notion that unstable equilibria are associated with motions and large displacements and therefore require a full nonlinear analysis.
The discussion begins with an overview of the basic mechanics of deformable bodies, including variational formulations, and then considers the large deflection behavior of shell and frame structures using a finite-element analysis. The second part of the book begins with a summary of linear vibrations of structures, including an introduction to modal analysis; it continues with computational formulations of nonlinear dynamic analyses of structures and refines the concept of dynamic equilibrium in the context of large deflections. The book concludes with a discussion of stability, including the difficult problem of stability of motions in the large.
By describing the methods on which commercial software pakckages are based, this book allows an engineer to evaluate the results these computations produce. It therefore should be useful to practicing engineers and graduate students.

---

This book deals with the computational analysis of thin-walled structures such as aircraft, ships, and containment vessels. Building on the author's earlier book Static and Dynamic Analysis of Structures, it shows how to use computational methods to tackle some of the fundamental problems of structural mechanics, with particular emphasis on nonlinear phenomena. Where the earlier book dealt with linear systems, the central theme running through this volume is the notion that unstable equilibria are associated with motions and large displacements and therefore require a full nonlinear analysis.
The discussion begins with an overview of the basic mechanics of deformable bodies, including variational formulations, and then considers the large deflection behavior of shell and frame structures using a finite-element analysis. The second part of the book begins with a summary of linear vibrations of structures, including an introduction to modal analysis; it continues with computational formulations of nonlinear dynamic analyses of structures and refines the concept of dynamic equilibrium in the context of large deflections. The book concludes with a discussion of stability, including the difficult problem of stability of motions in the large.
By describing the methods on which commercial software pakckages are based, this book allows an engineer to evaluate the results these computations produce. It therefore should be useful to practicing engineers and graduate students.
Content:
Front Matter....Pages i-xiv
Introduction....Pages 1-12
Mechanics of Solids....Pages 13-89
Thin Plates and Shells....Pages 90-168
Nonlinear Static Analysis....Pages 169-240
Vibrations of Structures....Pages 241-311
Nonlinear Dynamics....Pages 312-362
Stability of Structures....Pages 363-441
Dynamic Stability....Pages 442-500
Back Matter....Pages 501-513

---

This book deals with the computational analysis of thin-walled structures such as aircraft, ships, and containment vessels. Building on the author's earlier book Static and Dynamic Analysis of Structures, it shows how to use computational methods to tackle some of the fundamental problems of structural mechanics, with particular emphasis on nonlinear phenomena. Where the earlier book dealt with linear systems, the central theme running through this volume is the notion that unstable equilibria are associated with motions and large displacements and therefore require a full nonlinear analysis.
The discussion begins with an overview of the basic mechanics of deformable bodies, including variational formulations, and then considers the large deflection behavior of shell and frame structures using a finite-element analysis. The second part of the book begins with a summary of linear vibrations of structures, including an introduction to modal analysis; it continues with computational formulations of nonlinear dynamic analyses of structures and refines the concept of dynamic equilibrium in the context of large deflections. The book concludes with a discussion of stability, including the difficult problem of stability of motions in the large.
By describing the methods on which commercial software pakckages are based, this book allows an engineer to evaluate the results these computations produce. It therefore should be useful to practicing engineers and graduate students.
Content:
Front Matter....Pages i-xiv
Introduction....Pages 1-12
Mechanics of Solids....Pages 13-89
Thin Plates and Shells....Pages 90-168
Nonlinear Static Analysis....Pages 169-240
Vibrations of Structures....Pages 241-311
Nonlinear Dynamics....Pages 312-362
Stability of Structures....Pages 363-441
Dynamic Stability....Pages 442-500
Back Matter....Pages 501-513
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