Overview

Full Product Details

Author:   David V. Wallerstein
Publisher:   John Wiley and Sons Ltd
Imprint:   John Wiley & Sons Inc
Dimensions:   Width: 16.10cm , Height: 2.50cm , Length: 24.30cm
Weight:   0.690kg
ISBN:  

9780471395935

ISBN 10:   0471395935
Pages:   424
Publication Date:   19 November 2001
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Out of Stock Indefinitely
Availability:   Out of stock  

Table of Contents

PREFACE xi 1 INTRODUCTION 1 2 PRELIMINARIES 7 2.1 Variational Notation 7 2.2 The Gradient 10 2.3 Integration by Parts 11 2.4 Stokes’s Theorem 13 2.5 Green’s Theorem in the Plane 15 2.6 Adjoint Equations 16 2.7 Meaning of ∇2 19 2.8 Total Differentials 20 2.9 Legendre Transformation 21 2.10 Lagrange Multipliers 24 2.11 Differential Equations of Equilibrium 27 2.12 Strain-Displacement Relations 29 2.13 Compatibility Conditions of Strain 33 2.14 Thermodynamic Considerations 35 Problems 38 3 PRINCIPLE OF VIRTUAL WORK 40 3.1 Virtual Work Definition 40 3.2 Generalized Coordinates 41 3.3 Virtual Work of a Deformable Body 42 3.4 Thermal Stress, Initial Strain, and Initial Stress 47 3.5 Some Constitutive Relationships 48 3.6 Accounting for All Work 51 3.7 Axially Loaded Members 53 3.8 The Unit-Displacement Method 60 3.9 Finite Elements for Axial Members 65 3.10 Coordinate Transformations 71 3.11 Review of the Simple Beam Theory 74 3.12 Shear Stress in Simple Beams 92 3.13 Shear Deflection in Straight Beams 95 3.14 Beams with Initial Curvature 99 3.15 Thermal Strain Correction in Curved Beams 112 3.16 Shear and Radial Stress in Curved Beams 114 3.17 Thin Walled Beams of Open Section 121 3.18 Shear in Open Section Beams 147 3.19 Slope-Deflection Equations 155 3.20 Approximate Methods 165 Problems 173 4 COMPLEMENTARY VIRTUAL WORK 196 4.1 Complementary Virtual Work Definition 196 4.2 Complementary Virtual Work of a Deformable Body 197 4.3 Symmetry 210 4.4 The Unit Load Method 217 4.5 Force Elements 235 4.6 Generalized Force-Displacement Transformations 239 Problems 242 5 SOME ENERGY METHODS 261 5.1 Conservative Forces and Potential Functions 261 5.2 Stationary Potential Energy 271 5.3 Castigliano’s First Theorem 274 5.4 Complementary Energy 277 5.5 Stationary Complementary Potential Energy 280 5.6 Engesser-Crotti Theorem 282 5.7 Variational Statements 287 5.8 The Galerkin Method 290 5.9 Derived Variational Principles 300 Problems 305 6 SOME STATIC AND DYNAMIC STABILITY CONCEPTS 318 6.1 Linear-Stability Analysis 318 6.2 Geometric Measure of Strain 322 6.3 A Beam with Initial Curvature Revisited 330 6.4 Thin Walled Open Beams Revisited 337 6.5 Some Stability Concepts 349 6.6 Energy Criterion of Stability 350 6.7 Stiffness 353 6.8 Stiffening and Unstiffening Models 360 6.9 Bifurcation Analysis 369 6.10 Imperfection Analysis 372 6.11 Circulatory Dynamic Stability 377 6.12 Instationary Dynamic Stability 384 Problems 388 REFERENCES 396 INDEX 401

Reviews

Author Information

DAVID V. WALLERSTEIN has been a principal engineer at the MSC Software Corporation for almost two decades and has taught a graduate aerospace course in structures at the University of Southern California for the last eighteen years.

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions