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Matrix Computer Methods of Vibration Analysis - 1st Edition - ISBN: 9780408705219, 9781483161549

Matrix Computer Methods of Vibration Analysis

1st Edition

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Author: D. J. Hatter
eBook ISBN: 9781483161549
Imprint: Butterworth-Heinemann
Published Date: 1st January 1973
Page Count: 214
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Matrix Computer Methods of Vibration Analysis is an eight-chapter introductory text to a particular technique that combines vibration analysis, matrix algebra, and computational methods. This book is emerged from a series of lectures presented at the North-East London Polytechnic.
Chapters 1 and 2 introduce the basic concepts of matrix algebra, followed by a discussion on the facilities and methods of use of the computer in Chapter 3. Chapter 4 deals with the synthesis and manipulation of the system matrix for a vibrating system consisting of a number of lumped parameters, each of these being either a point mass or a massless spring. Chapter 5 describes the concept of separate matrices for the stiffnesses and masses of beams or shafts, while Chapter 6 evaluate the systems subjected to forced vibration due to varying frequencies of excitation and damping. Chapters 7 considers the different types of element that can be encountered in the analysis of a shaft or beam for natural frequencies, with an emphasis on the algorithm for dealing with massless shaft elements and point masses. Chapter 8 covers the analysis and computational requirements of torsional vibration. This work is an invaluable source for mathematicians and computer programmers and researchers.

Table of Contents

Chapter 1 Matrices and Their Manipulation

Chapter 2 Eigenvalues and Eigenvectors

Chapter 3 Computer Methods

Chapter 4 Free Vibration

Chapter 5 Flexibility, Stiffness and Mass Matrices

Chapter 6 Vibrating Systems with Internal Damping Subjected to Exciting Forces

Chapter 7 Transfer Matrices

Chapter 8 Torsional Vibration

Appendix 1 Typical Programs for Matrix Manipulation

Appendix 2 Program for Beam Natural Frequencies by Transfer Matrices

Appendix 3 Torsional Vibration Programs



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© Butterworth-Heinemann 1973
1st January 1973
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About the Author

D. J. Hatter

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