Mechanics: Dynamical Systems

Inverse problems in vibration

Authors: Gladwell, G.M.L.

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About this book

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.

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`This book is a necessary addition to the library of engineers and mathematicians working in vibration theory.'
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Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-94-015-1178-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $119.99
price for USA in USD
  • ISBN 978-94-015-1180-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Inverse problems in vibration
Authors
Series Title
Mechanics: Dynamical Systems
Series Volume
9
Copyright
1986
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-015-1178-0
DOI
10.1007/978-94-015-1178-0
Softcover ISBN
978-94-015-1180-3
Series ISSN
0169-667X
Edition Number
1
Number of Pages
284
Topics