Finite Element Analysis Applications: A Systematic and Practical Approach strikes a solid balance between more traditional FEA textbooks that focus primarily on theory, and the software specific guidebooks that help teach students and professionals how to use particular FEA software packages without providing the theoretical foundation. In this new textbook, Professor Bi condenses the introduction of theories and focuses mainly on essentials that students need to understand FEA models. The book is organized to be application-oriented, covering FEA modeling theory and skills directly associated with activities involved in design processes.
Discussion of classic FEA elements (such as truss, beam and frame) is limited. Via the use of several case studies, the book provides easy-to-follow guidance on modeling of different design problems. It uses SolidWorks simulation as the platform so that students do not need to waste time creating geometries for FEA modelling.
1. 4.1. Introduction - p. 113 2. 4.2. Governing Equations of Engineering Problems - p. 113 3. 4.3. Direct Formulation - p. 116 4. 4.4. Minimum Potential Energy Principle - p. 118 5. 4.5. Weighted Residual Methods - p. 122 6. 4.6. Types of Differential Equations - p. 132 7. 4.7. Element Modeling of 2D Equilibrium Problems - p. 135 8. 4.8. Element Modeling of 2D Propagate Problems - p. 139 9. 4.9. Element Modeling of Eigenvalue Problems - p. 142 10. 4.10. Summary - p. 145 11. Chapter 5. System Analysis and Modeling - p. 149 12. Chapter 6. Solutions to System Models - p. 187 13. 6.1. Introduction - p. 187 14. 6.2. Tensors and Vectors, and Matrices - p. 187 15. 6.3. Solutions to a System of Linear Equations - p. 203 16. 6.4. Eigenvalue Problems - p. 211 17. 6.5. Transient Problems - p. 222 18. 6.6. Summary - p. 223 19. Chapter 7. Computer Implementation - p. 227 20. Chapter 8. Applications—Solid Mechanics Problems - p. 281 21. 8.1. Introduction - p. 281 22. 8.2. Structural Analysis - p. 282 23. 8.3. Modal Analysis - p. 311 24. 8.4. Fatigue Analysis - p. 320 25. 8.5. Summary - p. 334 26. Chapter 9. Applications—Heat Transfer Problems - p. 341 27. Chapter 10. Applications—Fluid Mechanics - p. 379 28. Chapter 11. Applications—Multiphysics Systems - p. 407 29. Chapter 12. Validation and Verification - p. 455 30. Index - p. 495
Finite Element Analysis Applications: A Systematic and Practical Approach strikes a solid balance between more traditional FEA textbooks that focus primarily on theory, and the software specific guidebooks that help teach students and professionals how to use particular FEA software packages without providing the theoretical foundation. In this new textbook, Professor Bi condenses the introduction of theories and focuses mainly on essentials that students need to understand FEA models. The book is organized to be application-oriented, covering FEA modeling theory and skills directly associated with activities involved in design processes.
Discussion of classic FEA elements (such as truss, beam and frame) is limited. Via the use of several case studies, the book provides easy-to-follow guidance on modeling of different design problems. It uses SolidWorks simulation as the platform so that students do not need to waste time creating geometries for FEA modelling.
1. 4.1. Introduction - p. 113 2. 4.2. Governing Equations of Engineering Problems - p. 113 3. 4.3. Direct Formulation - p. 116 4. 4.4. Minimum Potential Energy Principle - p. 118 5. 4.5. Weighted Residual Methods - p. 122 6. 4.6. Types of Differential Equations - p. 132 7. 4.7. Element Modeling of 2D Equilibrium Problems - p. 135 8. 4.8. Element Modeling of 2D Propagate Problems - p. 139 9. 4.9. Element Modeling of Eigenvalue Problems - p. 142 10. 4.10. Summary - p. 145 11. Chapter 5. System Analysis and Modeling - p. 149 12. Chapter 6. Solutions to System Models - p. 187 13. 6.1. Introduction - p. 187 14. 6.2. Tensors and Vectors, and Matrices - p. 187 15. 6.3. Solutions to a System of Linear Equations - p. 203 16. 6.4. Eigenvalue Problems - p. 211 17. 6.5. Transient Problems - p. 222 18. 6.6. Summary - p. 223 19. Chapter 7. Computer Implementation - p. 227 20. Chapter 8. Applications—Solid Mechanics Problems - p. 281 21. 8.1. Introduction - p. 281 22. 8.2. Structural Analysis - p. 282 23. 8.3. Modal Analysis - p. 311 24. 8.4. Fatigue Analysis - p. 320 25. 8.5. Summary - p. 334 26. Chapter 9. Applications—Heat Transfer Problems - p. 341 27. Chapter 10. Applications—Fluid Mechanics - p. 379 28. Chapter 11. Applications—Multiphysics Systems - p. 407 29. Chapter 12. Validation and Verification - p. 455 30. Index - p. 495
