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.
1. Chapter 5 : Introduction to finite element method: bar and beam applications - p. Page 236 2. Chapter 6 : Two-dimensional problems: application of plane strain and stress - p. Page 313 3. Chapter 7 : Torsion problem - p. Page 361 4. Chapter 8 : Axisymmetric elasticity problems - p. Page 396 5. Chapter 9 : Application of finite element method to three-dimensional elasticity problems - p. Page 418 6. Chapter 10 : Application of finite element to the vibration problems - p. Page 465 7. Chapter 11 : Steady state heat conduction - p. Page 513 8. Chapter 12 : Shape function determinations and numerical integration - p. Page 568 9. Chapter 13 : Higher-order isoparametric formulation - p. Page e630 10. Chapter 14 : Finite element program structures - p. Page e675 11. Appendix A : Review of typical framed structure 2-node elements - p. Page e725 12. Appendix B : Penalty function - p. Page e734 13. Appendix C : Analytical solution of equations of motion - p. Page e737 14. Appendix D : Numerical integration in time-dependent problems - p. Page 742 15. Index - p. Page e745
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.
1. Chapter 5 : Introduction to finite element method: bar and beam applications - p. Page 236 2. Chapter 6 : Two-dimensional problems: application of plane strain and stress - p. Page 313 3. Chapter 7 : Torsion problem - p. Page 361 4. Chapter 8 : Axisymmetric elasticity problems - p. Page 396 5. Chapter 9 : Application of finite element method to three-dimensional elasticity problems - p. Page 418 6. Chapter 10 : Application of finite element to the vibration problems - p. Page 465 7. Chapter 11 : Steady state heat conduction - p. Page 513 8. Chapter 12 : Shape function determinations and numerical integration - p. Page 568 9. Chapter 13 : Higher-order isoparametric formulation - p. Page e630 10. Chapter 14 : Finite element program structures - p. Page e675 11. Appendix A : Review of typical framed structure 2-node elements - p. Page e725 12. Appendix B : Penalty function - p. Page e734 13. Appendix C : Analytical solution of equations of motion - p. Page e737 14. Appendix D : Numerical integration in time-dependent problems - p. Page 742 15. Index - p. Page e745
