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Dynamics of Plate Structures

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Structural Dynamics

Abstract

Deterministic and random vibrations of linear elastic plate structures are discussed. At first polygonally shaped thin plates according to Kirchhoff s theory are considered. The undamped frequency response function is calculated by a powerful boundary element method (BEM) with Green’s functions of rectangular domains, which was developed in [3.4–1] for static loading of plates in a first stage. An extension of the method to eigenvalue problems of membranes and plates is given in [3.4–2], forced vibrations are analysed in [3.4–3,4,5,6], and plates with particular orthotropy are treated in [3.4–7,8]. Embedding the actual polygonal domain properly into a rectangular plate, the boundary conditions (b.c.s) are possibly satisfied exactly at the coinciding boundaries. The remaining prescribed b.c.s of the actual problem lead to a pair of coupled integral equations for a density function vector whose components are line loads and moments distributed in the basic domain along the actual boundary. Considering time-harmonic excitation and sweeping the forcing frequency stepwise the undamped frequency response function results, where the roots of the reciprocal yield the eigenfrequencies with high numerical accuracy.

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Authors and Affiliations

  1. Civil Engineering Department, Technical University of Vienna, Austria, A-1040

    R. Heuer, H. Irschik & F. Ziegler

Authors
  1. R. Heuer
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  2. H. Irschik
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  3. F. Ziegler
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Editors and Affiliations

  1. Institut für Mechanik, Universität Innsbruck, A-6020, Innsbruck, Austria

    G. I. Schuëller

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© 1991 Springer-Verlag Berlin, Heidelberg

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Heuer, R., Irschik, H., Ziegler, F. (1991). Dynamics of Plate Structures. In: Schuëller, G.I. (eds) Structural Dynamics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-88298-2_9

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  • DOI: https://doi.org/10.1007/978-3-642-88298-2_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-88300-2

  • Online ISBN: 978-3-642-88298-2

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