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About The Book
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Description: |
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. KEY FEATURES • Thorough discussion of numerical algorithms for reliable and efficient computation. AUDIENCE: |
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 Index |
Author Details
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Author Name | Shrikhande, Manish |
About Author | MANISH SHRIKHANDE, Ph.D. (IIT Kanpur), is a Professor at Department of Earthquake Engineering, Indian Institute of Technology Roorkee, and a member of Indian Society of Earthquake Technology and Earthquake Engineering Research Institute. He is a recipient of the Young Engineer Award of Indian National Academy of Engineering (INAE) and the Career Award of AICTE. |