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Journal Article
FREE VIBRATIONS OF A PARABOLOID SHELL
2005
Overview
The paper presents an application of the method of the generator function.The method is used in the analytic investigation of the free vibrations of aparabolic antenna dish, which is considered as a thin shell. For solving thedifferential equation system of the vibration problem, the method of thegenerator function is applied. This method is based on the generalization ofdeterminants and cofactors of quadratic matrices.In an illustrative example the natural frequencies of the paraboloid arecompared with those of a circular plate having the same radius and materialproperties as the paraboloid, and also with those of the circular plateresting on a fictitious elastic foundation.
Publisher
Periodica Polytechnica, Budapest University of Technology and Economics
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