The Matrix Analysis of Vibration by R. E. D. BishopThe Matrix Analysis of Vibration by R. E. D. Bishop

The Matrix Analysis of Vibration

byR. E. D. Bishop, G. M. L. Gladwell, S. Michaelson

Paperback | November 24, 2008

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Vibration problems arise in the design of almost all engineering machinery and structures. Many of these problems are extremely complex but their solution is essential if a safe and satisfactory design is to be achieved. The equations of motion are often insoluble by the classical methods of the calculus and so it is necessary to approximate on order to reduce them to a set of linear equations. The use of matrices simplifies the solution of sets of linear equations. This book describes the matrix formulation of the equations of motion and techniques for the solution of matrix equations. The book describes some typical computer methods and also includes a large number of problems (with solutions) which may conveniently be solved by using a desk calculating machine.
Title:The Matrix Analysis of VibrationFormat:PaperbackDimensions:420 pages, 9.61 × 6.69 × 0.87 inPublished:November 24, 2008Publisher:Cambridge University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0521098858

ISBN - 13:9780521098854

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Table of Contents

Preface; 1. Notation and elementary properties of matrices; 2. The vibration of conservative systems having finite number of degrees of freedom; 3. Linear equations; 4. Further development of the theory of conservative systems; 5. Damped forced vibration; 6. Continuous systems; 7. The solution of linear equations and the inversion of matrices; 8. Iterative methods for characteristic value problems; 9. Direct methods for characteristic value problems; Appendix; Answers to examples; Index.