Energy Methods and Finite Element Techniques: Stress and Vibration Applications provides readers with a complete understanding of the theory and practice of finite element analysis using energy methods to better understand, predict, and mitigate static stress and vibration in different structural and mechanical configurations. It presents readers with the underlying theory, techniques for implementation, and field-tested applications of these methods using linear ordinary differential equations. Statistical energy analysis and its various applications are covered, and applications discussed include plate problems, bars and beams, plane strain and stress, 3D elasticity problems, vibration problems, and more. Higher order plate and shell elements, steady state heat conduction, and shape function determinations and numerical integration are analyzed as well.
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Table of Contents
Part 1: Energy Method 1. Fundamentals of Energy Methods 2. Direct Methods 3. Applications of Energy Methods to Plate Problems 4. Energy Methods in Vibrations
Part 2: Finite Element Method 5. Introduction to Finite Element Method: Bar and Beam Applications 6. Two-Dimensional Problems: Application of Plane Strain and Stress 7. Torsion Problem 8. Axisymmetric Elasticity Problems 9. Application to�Three-dimensional Elasticity Problems 10. Application of F. E. to the�Vibration Problems 11. Steady State Heat Conduction 12. Shape Functions Determinations and Numerical Integration 13. Higher-order Isoparametric Formulation 14. Finite Element Programs Structures