A Variational Approach to Structural Analysis

A Variational Approach to Structural Analysis
Author :
Publisher : John Wiley & Sons
Total Pages : 421
Release :
ISBN-10 : 9780471421252
ISBN-13 : 0471421251
Rating : 4/5 (251 Downloads)

Book Synopsis A Variational Approach to Structural Analysis by : David V. Wallerstein

Download or read book A Variational Approach to Structural Analysis written by David V. Wallerstein and published by John Wiley & Sons. This book was released on 2002-10-31 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: An insightful examination of the numerical methods used to develop finite element methods A Variational Approach to Structural Analysis provides readers with the underpinnings of the finite element method (FEM) while highlighting the power and pitfalls of virtual methods. In an easy-to-follow, logical format, this book gives complete coverage of the principle of virtual work, complementary virtual work and energy methods, and static and dynamic stability concepts. The first two chapters prepare the reader with preliminary material, introducing in detail the variational approach used in the book as well as reviewing the equilibrium and compatibility equations of mechanics. The next chapter, on virtual work, teaches how to use kinematical formulations for the determination of the required strain relationships for straight, curved, and thin walled beams. The chapters on complementary virtual work and energy methods are problem-solving chapters that incorporate Castigliano's first theorem, the Engesser-Crotti theorem, and the Galerkin method. In the final chapter, the reader is introduced to various geometric measures of strain and revisits straight, curved, and thin walled beams by examining them in a deformed geometry. Based on nearly two decades of work on the development of the world's most used FEM code, A Variational Approach to Structural Analysis has been designed as a self-contained, single-source reference for mechanical, aerospace, and civil engineering professionals. The book's straightforward style also provides accessible instruction for graduate students in aeronautical, civil, mechanical, and engineering mechanics courses.


A Variational Approach to Structural Analysis Related Books

A Variational Approach to Structural Analysis
Language: en
Pages: 421
Authors: David V. Wallerstein
Categories: Technology & Engineering
Type: BOOK - Published: 2002-10-31 - Publisher: John Wiley & Sons

GET EBOOK

An insightful examination of the numerical methods used to develop finite element methods A Variational Approach to Structural Analysis provides readers with th
A Variational Approach to Structural Analysis
Language: en
Pages: 428
Authors: David V. Wallerstein
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: John Wiley & Sons

GET EBOOK

An insightful examination of the numerical methods used to develop finite element methods A Variational Approach to Structural Analysis provides readers with th
Variational Methods for Structural Optimization
Language: en
Pages: 561
Authors: Andrej Cherkaev
Categories: Science
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

This book bridges a gap between a rigorous mathematical approach to variational problems and the practical use of algorithms of structural optimization in engin
Solid Mechanics
Language: en
Pages: 698
Authors: Clive L. Dym
Categories: Science
Type: BOOK - Published: 2013-04-05 - Publisher: Springer Science & Business Media

GET EBOOK

Solid Mechanics: A Variational Approach, Augmented Edition presents a lucid and thoroughly developed approach to solid mechanics for students engaged in the stu
Structural Sensitivity Analysis and Optimization 1
Language: en
Pages: 457
Authors: Kyung K. Choi
Categories: Science
Type: BOOK - Published: 2006-12-30 - Publisher: Springer Science & Business Media

GET EBOOK

Extensive numerical methods for computing design sensitivity are included in the text for practical application and software development. The numerical method a