Dynamics of Plate Structures

  • R. Heuer
  • H. Irschik
  • F. Ziegler
Chapter

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.

Keywords

Boundary Element Method Frequency Response Function Sandwich Plate Bridge Deck Rotatory Inertia 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag Berlin, Heidelberg 1991

Authors and Affiliations

  • R. Heuer
    • 1
  • H. Irschik
    • 1
  • F. Ziegler
    • 1
  1. 1.Civil Engineering DepartmentTechnical University of ViennaAustria

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