On the Vibrations of Parabolic Membranes
- 1 February 1966
- journal article
- Published by ASME International in Journal of Engineering for Industry
- Vol. 88 (1) , 45-50
- https://doi.org/10.1115/1.3670889
Abstract
This study is concerned with the transverse vibrations of a theoretical membrane which occupies a region bounded by two confocal parabolas. The eigenvalues and eigenfunctions for Dirichlet conditions are determined. Nodal patterns for the free vibrations of the membrane are given for various forms of symmetry. Orthogonality relations are established; initial value problems and forced vibrations also are considered.Keywords
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