Guided explorations of the mechanics of solids and structures strategies for solving unfamiliar problems

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 website * Ability to complement any standard finite element textbook.

Author Notes

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.

Introduction	p. 1
1 QED the Computer Laboratory	p. 5
1.1 Brief Overview of the Mechanics of Structures	p. 6
1.2 Installing and Running QED	p. 13
1.3 Overview of QED	p. 16
1.4 Supporting Programs	p. 30
1.5 QED Guided Explorations	p. 32
2 Static Analysis	p. 35
2.1 Deformation of Structural Members	p. 36
2.2 Stiffness Behavior of Thin-Walled Structures	p. 49
2.3 Equilibrium of Beam and Frame Structures	p. 59
2.4 Stress Analysis of Thin-Walled Structures	p. 73
2.5 Stress Analysis of a Ring	p. 92
2.6 Stress Concentrations and Singularities	p. 102
3 Vibration of Structures	p. 112
3.1 Introduction to Vibrations	p. 113
3.2 Modes of Vibration	p. 121
3.3 Prestressed Structures	p. 130
3.4 Frequency Analysis of Signals	p. 139
3.5 Effect of Mass and Gravity on Vibrations	p. 147
3.6 Vibration of Shells	p. 152
4 Wave Propagation	p. 161
4.1 Introduction to Wave Propagation	p. 163
4.2 General Exploration of Wave Speeds	p. 173
4.3 Dispersion of Waves	p. 183
4.4 Deep Waveguides	p. 197
4.5 Relation Between Waves and Vibrations	p. 206
4.6 Dynamic Stress Concentrations	p. 213
5 Nonlinear Structural Mechanics	p. 226
5.1 Nonlinear Geometric Behavior of Structures	p. 227
5.2 Elastic-Plastic Response and Residual Stresses	p. 246
5.3 Rubber Elasticity	p. 253
5.4 Nonlinear Vibrations	p. 264
5.5 Nonlinear Vibrations Under Gravity	p. 275
5.6 Impact	p. 283
6 Stability of the Equilibrium	p. 297
6.1 Introduction to Elastic Stability	p. 298
6.2 Eigenanalysis of Buckling	p. 308
6.3 Stability and Load Imperfections	p. 328
6.4 Elastic-Plastic Buckling	p. 335
6.5 Stability of Motion in the Large	p. 349
6.6 Dynamic Instability Under Follower Loads	p. 364
7 Constructing Simple Analytical Models	p. 376
7.1 Fundamentals of Solid Mechanics	p. 377
7.2 Stationary Principles in Mechanics	p. 386
7.3 Models, Similitude, and Dimensional Analysis	p. 397
7.4 Some Simple Models With the Ritz Method	p. 404
7.5 Mechanical Models for Postbuckling	p. 416
7.6 Simple Models for Loadings	p. 425
7.7 QED's Gallery of ODEs	p. 435
References	p. 439
Index	p. 445

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Author Notes

Table of Contents