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Energy Principles and Variational Methods in Applied Mechanics
About this book
A comprehensive guide to using energy principles and variational methods for solving problems in solid mechanics
This book provides a systematic, highly practical introduction to the use of energy principles, traditional variational methods, and the finite element method for the solution of engineering problems involving bars, beams, torsion, plane elasticity, trusses, and plates.
It begins with a review of the basic equations of mechanics, the concepts of work and energy, and key topics from variational calculus. It presents virtual work and energy principles, energy methods of solid and structural mechanics, Hamilton's principle for dynamical systems, and classical variational methods of approximation. And it takes a more unified approach than that found in most solid mechanics books, to introduce the finite element method.
Featuring more than 200 illustrations and tables, this Third Edition has been extensively reorganized and contains much new material, including a new chapter devoted to the latest developments in functionally graded beams and plates.
- Offers clear and easy-to-follow descriptions of the concepts of work, energy, energy principles and variational methods
- Covers energy principles of solid and structural mechanics, traditional variational methods, the least-squares variational method, and the finite element, along with applications for each
- Provides an abundance of examples, in a problem-solving format, with descriptions of applications for equations derived in obtaining solutions to engineering structures
- Features end-of-the-chapter problems for course assignments, a Companion Website with a Solutions Manual, Instructor's Manual, figures, and more
Energy Principles and Variational Methods in Applied Mechanics, Third Edition is both a superb text/reference for engineering students in aerospace, civil, mechanical, and applied mechanics, and a valuable working resource for engineers in design and analysis in the aircraft, automobile, civil engineering, and shipbuilding industries.
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Information
Table of contents
- Cover
- Title Page
- Copyright
- Table of Contents
- Dedication
- About the Author
- About the Companion Website
- Preface to the Third Edition
- Preface to the Second Edition
- Preface to the First Edition
- Chapter 1: Introduction and Mathematical Preliminaries
- Chapter 2: Review of Equations of Solid Mechanics
- Chapter 3: Work, Energy, and Variational Calculus
- Chapter 4: Virtual Work and Energy Principles of Mechanics
- Chapter 5: Dynamical Systems: Hamilton's Principle
- Chapter 6: Direct Variational Methods
- Chapter 7: Theory and Analysis of Plates
- Chapter 8: An Introduction to the Finite Element Method
- Chapter 9: Mixed Variational and Finite Element Formulations
- Chapter 10: Analysis of Functionally Graded Beams and Plates
- References
- Answers to Most Problems
- Index
- End User License Agreement