About The Book Finite Element Method And Computational Structural Dynamics
Primarily intended for senior undergraduate and postgraduate students of civil, mechanical and aerospace/aeronautical engineering, this text emphasises the importance of reliability in engineering computations and understanding the process of computer aided engineering.
Written with a view to promote the correct use of finite element technology and to present a detailed study of a set of essential computational tools for the practice of structural dynamics, this book is a ready-reckoner for an in-depth discussion of finite element theory and estimation and control of errors in computations. It is specifically aimed at the audience with interest in vibrations and stress analysis. Several worked out examples and exercise problems have been included to describe the various aspects of finite element theory and modelling. The exercise on error analysis will be extremely helpful in grasping the essence of posteriori error analysis and mesh refinement.
Thorough discussion of numerical algorithms for reliable and efficient computation.
Ready-to-use finite element system and other scientific applications.
Tips for improving the quality of finite element solutions.
Companion DVD containing ready to use finite element applications.AUDIENCE:
Senior Undergraduate and Postgraduate students of Civil, Mechanical and Aerospace/Aeronautical engineering
Table of Contents:
Preface List of Figures List of Tables
About the CAELinux LiveDVD
Part I: FINITE ELEMENT METHOD
Chapter 1 Mathematical Modelling, Differential Equations and Approximate Solutions
Chapter 2 Finite Elements of One-Dimension
Chapter 3 Finite Elements of Two and Three Dimensions
Chapter 4 Mapped Elements
Chapter 5 Finite Elements for Plates and Shells
Chapter 6 Error Analysis and Convergence of Finite Element Solution
Chapter 7 The Time Dimension
Part II: COMPUTATIONAL STRUCTURAL DYNAMICS
Chapter 8 Solution of Linear Simultaneous Equations
Chapter 9 The Algebraic Eigenvalue Problem
Chapter 10 Singular Value Decomposition
Chapter 11 Time Marching: Numerical Solution of Initial Value Problems
Chapter 12 Discrete Fourier Transform
Chapter 13 System Identification: The Inverse Vibration Problem
Chapter 14 Model Reduction in Computational Structural Dynamics
Part III: APPENDICES
A:A Primer on Floating-Point Computations
B:A Primer on Vector Spaces
C:A Primer on Interpolation
D:A Primer on Numerical Quadrature
E:Assembly of Global System of Equations
F:Internet Resources for Scientific Computing