Application of the Method of Integral Equations to the Vibration of Plates,
TECHNISCHE UNIV BERLIN (GERMANY F R) INST FUER TECHNISCHE AKUSTIK
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The calculation of the vibrations of an elastic continuum normally starts from the mathematical formulation of the problem in terms of a boundary value problem. This means, that the field variables describing the vibrations have to satisfy a differential equation and certain conditions on the boundary surrounding the region under consideration. Analytical solutions of such boundary value problems exist only in some cases with special geometric configurations. So, normally one has to solve the problem by numerical methods.