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Item Details
| Title:
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INVERSE PROBLEMS IN VIBRATION
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| By: |
G. M. L. Gladwell |
| Format: |
Paperback |
| List price:
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£89.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
9401511802 |
| ISBN 13: |
9789401511803 |
| Publisher: |
SPRINGER |
| Pub. date: |
1 June, 2012 |
| Edition: |
Softcover reprint of the original 1st ed. 1986 |
| Series: |
Mechanics: Dynamical Systems 9 |
| Pages: |
280 |
| Synopsis: |
The last thing one settles in writing a book is what one should put in first. Pascal's Pensees Classical vibration theory is concerned, in large part, with the infinitesimal (i. e. , linear) undamped free vibration of various discrete or continuous bodies. One of the basic problems in this theory is the determination of the natural frequencies (eigen- frequencies or simply eigenvalues) and normal modes of the vibrating body. A body which is modelled as a discrete system' of rigid masses, rigid rods, massless springs, etc. , will be governed by an ordinary matrix differential equation in time t. It will have a finite number of eigenvalues, and the normal modes will be vectors, called eigenvectors. A body which is modelled as a continuous system will be governed by a partial differential equation in time and one or more spatial variables. It will have an infinite number of eigenvalues, and the normal modes will be functions (eigen- functions) of the space variables. In the context of this classical theory, inverse problems are concerned with the construction of a model of a given type; e. g. , a mass-spring system, a string, etc., which has given eigenvalues and/or eigenvectors or eigenfunctions; i. e. , given spec- tral data. In general, if some such spectral data is given, there can be no system, a unique system, or many systems, having these properties. |
| Illustrations: |
biography |
| Publication: |
Netherlands |
| Imprint: |
Springer |
| Returns: |
Returnable |
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