Abstract
In this work, classical techniques from perturbation theory will be applied to develop a boundary integral formulation for low frequency forced vibrations of elastic plates. The functional form of the applied load and the plate deflection are assumed to be products of a temporal function and corresponding spatial functions. The separation of variables approach removes the difficulties associated with transient analysis. The resulting boundary element formulation requires consecutive solutions to a set of coupled non-homogeneous biharmonic equations. The domain integral normally associated with each non-homogeneous equation is transformed to a set of boundary integrals using the Rayleigh-Green identity. Numerical solutions of the perturbation-based expansion equations of forced vibrations using the boundary element method (BEM) are presented and compared with analytical analysis.
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© 1991 Computational Mechanics Publications
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Camp, C.V. (1991). Boundary Elements and Perturbation Theory for Vibrating Plates. In: Brebbia, C.A., Gipson, G.S. (eds) Boundary Elements XIII. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3696-9_45
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DOI: https://doi.org/10.1007/978-94-011-3696-9_45
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-85166-696-6
Online ISBN: 978-94-011-3696-9
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