Energy Methods and Finite Element Techniques

Stress and Vibration Applications

Muhsin J. Jweeg, Muhannad Al-Waily, Kadhim Kamil Resan

• Publisher: Elsevier
• Year: 2021
• Print ISBN:
  9780323886666
• eBook ISBN:
  9780323886512
• Topic: Technology & Engineering
• Subtopic: Mechanical Engineering
• Index: Technology & Engineering

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. - Introduces the theory, practice, and applications of energy methods and the finite element method for predicting and mitigating structural stress and vibrations - Outlines modified finite element techniques such as those with different classes of meshes and basic functions - Discusses statistical energy analysis and its vibration and acoustic applications

Table of contents

• Cover
• Title page
• Table of Contents
• Copyright
• Contents
• About the authors
• Preface
• List of Illustrations
• List of Tables
• Chapter 1 : Fundamentals of energy methods
• Chapter 2 : Direct methods
• Chapter 3 : Application of energy methods to plate problems
• Chapter 4 : Energy methods in vibrations
• Chapter 5 : Introduction to finite element method: bar and beam applications
• Chapter 6 : Two-dimensional problems: application of plane strain and stress
• Chapter 7 : Torsion problem
• Chapter 8 : Axisymmetric elasticity problems
• Chapter 9 : Application of finite element method to three-dimensional elasticity problems
• Chapter 10 : Application of finite element to the vibration problems
• Chapter 11 : Steady state heat conduction
• Chapter 12 : Shape function determinations and numerical integration
• Chapter 13 : Higher-order isoparametric formulation
• Chapter 14 : Finite element program structures
• Appendix A : Review of typical framed structure 2-node elements
• Appendix B : Penalty function
• Appendix C : Analytical solution of equations of motion
• Appendix D : Numerical integration in time-dependent problems
• Index
• A