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Conditions on the Data in Inverse Problems in Vibration

  • Conference paper
Inverse Methods in Action

Part of the book series: Inverse Problems and Theoretical Imaging ((IPTI))

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Abstract

This review concerns inverse problems for discrete or continuous elastic bodies of finite extent, executing linear, undamped, free vibration. The data for such inverse problems is spectral, i. e., it relates to the natural frequencies and/or normal modes of the system. The basic question is this: Suppose some data is given, and it purports to be spectral data for a system of specified type, what tests can be carried out on the data to determine whether or not it is acceptable, i.e., whether or not it corresponds to a realizable system?.

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Author information

Authors and Affiliations

  1. Solid Mechanics Division, University of Waterloo, Waterloo, N2L3G1, Ontario, Canada

    G. M. L. Gladwell

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  1. G. M. L. Gladwell
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Editor information

Editors and Affiliations

  1. Laboratoire de Physique Mathématique, Université des Sciences et Techniques du Languedoc, Place Eugène Bataillon, F-34060, Montpellier Cedex, France

    Pierre C. Sabatier

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© 1990 Springer-Verlag Berlin Heidelberg

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Gladwell, G.M.L. (1990). Conditions on the Data in Inverse Problems in Vibration. In: Sabatier, P.C. (eds) Inverse Methods in Action. Inverse Problems and Theoretical Imaging. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75298-8_21

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  • DOI: https://doi.org/10.1007/978-3-642-75298-8_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-75300-8

  • Online ISBN: 978-3-642-75298-8

  • eBook Packages: Springer Book Archive

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