Cover -- Title -- Copyright -- Foreword -- Table of Contents -- Preface to the Second Edition -- Preface to the First Edition -- Nomenclature -- Chapter 1. Introduction -- 1.1 Introduction -- 1.2 Areas of Analysis -- 1.3 Methods of Analysis -- 1.4 Computer Software -- 1.5 Brief History of the Finite Element Method -- 1.6 Concluding Remarks -- References -- Chapter 2. Finite Element Discretization of Physical Systems -- 2.1 Introduction -- 2.2 Finite Element Solutions -- 2.3 Application of the Galerkin Method -- 2.4 Concluding Remarks -- References -- Chapter 3. Structural Mechanics-Basic Theory -- 3.1 Introduction -- 3.2 Modeling of Material Behavior -- 3.3 Finite Element Formulation Based on the Stationary Functional Method -- 3.4 Concluding Remarks -- References -- Chapter 4. Structural Mechanics-Finite Elements -- 4.1 Introduction -- 4.2 One-Dimensional Line Elements -- 4.3 Two-Dimensional Plane Elements -- 4.4 Three-Dimensional Solid Elements -- 4.5 Isoparametric Quadrilateral and Hexahedron Elements -- 4.6 Torsion of Prismatic Shafts -- 4.7 Plate Bending Elements -- 4.8 Shell Elements -- 4.9 Numerical Examples -- 4.10 Concluding Remarks -- References -- Chapter 5. Spinning Structures -- 5.1 Introduction -- 5.2 Derivation of Equation of Motion -- 5.3 Derivation of Nodal Centrifugal Forces -- 5.4 Derivation of Element Matrices -- 5.5 Numerical Examples -- 5.6 Concluding Remarks -- References -- Chapter 6. Dynamic Element Method -- 6.1 Introduction -- 6.2 Bar Element -- 6.3 Beam Element -- 6.4 Rectangular Prestressed Membrane Element -- 6.5 Plane Triangular Element -- 6.6 Shell Element -- 6.7 Numerical Examples -- 6.8 Concluding Remarks -- References -- Chapter 7. Generation of System Matrices -- 7.1 Introduction -- 7.2 Coordinate Systems and Transformations -- 7.3 Matrix Assembly -- 7.4 Imposition of Deflection Boundary Conditions.

7.5 Matrix Bandwidth Minimization -- 7.6 Sparse Matrix Storage Schemes -- 7.7 Concluding Remarks -- References -- Chapter 8. Solution of System Equations -- 8.1 Introduction -- 8.2 Formulation and Solution of System Equation -- 8.3 Sparse Cholesky Factorization -- 8.4 Concluding Remarks -- References -- Chapter 9. Eigenvalue Problems -- 9.1 Introduction -- 9.2 Free Vibration Analysis of Undamped Nonspinning Structures -- 9.3 Free Vibration Analysis of Spinning Structures -- 9.4 Quadratic Matrix Eigenvalue Problem for Free Vibration Analysis -- 9.5 Structural Stability Problems -- 9.6 Vibration of Prestressed Structures -- 9.7 Vibration of Damped Structural Systems -- 9.8 Solution of Damped Free Vibration Problem -- 9.9 Concluding Remarks -- References -- Chapter 10. Dynamic Response of Elastic Structures -- 10.1 Introduction -- 10.2 Method of Modal Superposition -- 10.3 Direct Integration Methods -- 10.4 Frequency Response Method -- 10.5 Response to Random Excitation -- 10.6 Numerical Examples -- References -- Chapter 11. Nonlinear Analysis -- 11.1 Introduction -- 11.2 Geometric Nonlinearity -- 11.3 Material Nonlinearity -- 11.4 Numerical Examples -- References -- Chapter 12. Stress Computations and Optimization -- 12.1 Introduction -- 12.2 Line Elements -- 12.3 Triangular Shell Elements -- 12.4 Solid Elements -- 12.5 Optimization -- 12.6 Examples of Applications of Optimization -- References -- Chapter 13. Heat Transfer Analysis of Solids -- 13.1 Introduction -- 13.2 Heat Conduction -- 13.3 Solution of System Equations -- 13.4 Numerical Examples -- 13.5 Coupled Heat Transfer and Structural Analysis -- References -- Chapter 14. Computational Linear Aeroelasticity and Aeroservoelasticity -- 14.1 Introduction -- 14.2 Formulation of Numerical Procedure -- 14.3 Numerical Example -- 14.4 Concluding Remarks -- References.

Chapter 15. CFD-Based Aeroelasticity and Aeroservoelasticity -- 15.1 Introduction -- 15.2 Computational Fluid Dynamics -- 15.3 Time-Marched Aeroelastic and Aeroservoelastic Analysis -- 15.4 ARMA Model in Aeroelastic and Aeroservoelastic Analysis -- 15.5 Numerical Examples -- 15.6 Concluding Remarks -- References -- Appendix. Exercises -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- X -- Y -- Z.