Guided Explorations of the Mechanics of Solids and Structures

by James F. Doyle

• ISBN13: 9780521896788
• ISBN10: 0521896789
• Edition: CD
• Format: Hardcover
• Copyright: 2009-09-21
• Publisher: Cambridge University Press

Summary

This book tackles the question: How can an engineer with a powerful finite element program but modest background knowledge of mechanics solve unfamiliar problems? Engineering educators will find this book to be a new and exciting approach to helping students engage with complex ideas. Practising engineers who use finite element methods to solve problems in solids and structures will extend the range of problems they can solve as well as accelerate their learning on new problems. This book's special strengths include: · A thoroughly modern approach to learning and understanding mechanics problems · Comprehensive coverage of a large collection of problems ranging from static to dynamic and from linear to nonlinear, applied to a variety of structures and components · Accompanying software that is sophisticated and versatile and is available for free from the book's web site · Ability to complement any standard finite element textbook

Author Biography

James F. Doyle is a professor in the School of Aeronautics and Astronautics at Purdue University. His main area of research is in experimental mechanics with an emphasis on the development of a new methodology for analyzing impact and wave propagation in complicated structures. The goal is to be able to extract the complete description of the wave and the dynamic system from limited experimental data. Special emphasis is placed on solving inverse problems by integrating experimental methods with computational methods (primarily finite element-based methods). He is a dedicated teacher and pedagogical innovator. He is the winner of the Frocht Award for Teaching and the Hetenyi Award for Research, both from the Society for Experimental Mechanics. Professor Doyle is a Fellow of the Society for Experimental Mechanics. This is his fifth book, after Propagation in Structures, Second Edition; Static and Dynamic Analysis of Structures; Nonlinear Analysis of Thin-Walled Structures; and Modern Experimental Stress Analysis.

Table of Contents

Introduction	p. 1
QED the Computer Laboratory	p. 5
Brief Overview of the Mechanics of Structures	p. 6
Installing and Running QED	p. 13
Overview of QED	p. 16
Supporting Programs	p. 30
QED Guided Explorations	p. 32
Static Analysis	p. 35
Deformation of Structural Members	p. 36
Stiffness Behavior of Thin-Walled Structures	p. 49
Equilibrium of Beam and Frame Structures	p. 59
Stress Analysis of Thin-Walled Structures	p. 73
Stress Analysis of a Ring	p. 92
Stress Concentrations and Singularities	p. 102
Vibration of Structures	p. 112
Introduction to Vibrations	p. 113
Modes of Vibration	p. 121
Prestressed Structures	p. 130
Frequency Analysis of Signals	p. 139
Effect of Mass and Gravity on Vibrations	p. 147
Vibration of Shells	p. 152
Wave Propagation	p. 161
Introduction to Wave Propagation	p. 163
General Exploration of Wave Speeds	p. 173
Dispersion of Waves	p. 183
Deep Waveguides	p. 197
Relation Between Waves and Vibrations	p. 206
Dynamic Stress Concentrations	p. 213
Nonlinear Structural Mechanics	p. 226
Nonlinear Geometric Behavior of Structures	p. 227
Elastic-Plastic Response and Residual Stresses	p. 246
Rubber Elasticity	p. 253
Nonlinear Vibrations	p. 264
Nonlinear Vibrations Under Gravity	p. 275
Impact	p. 283
Stability of the Equilibrium	p. 297
Introduction to Elastic Stability	p. 298
Eigenanalysis of Buckling	p. 308
Stability and Load Imperfections	p. 328
Elastic-Plastic Buckling	p. 335
Stability of Motion in the Large	p. 349
Dynamic Instability Under Follower Loads	p. 364
Constructing Simple Analytical Models	p. 376
Fundamentals of Solid Mechanics	p. 377
Stationary Principles in Mechanics	p. 386
Models, Similitude, and Dimensional Analysis	p. 397
Some Simple Models With the Ritz Method	p. 404
Mechanical Models for Postbuckling	p. 416
Simple Models for Loadings	p. 425
QED's Gallery of ODEs	p. 435
References	p. 439
Index	p. 445
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