Transactions of Nanjing University of Aeronautics & Astronautics
Quadrature Element Vibration Analysis of Arbitrarily Shaped Membranes
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Abstract:
The aim of the present study is to develop an efficient weak form quadrature element for free vibration analysis of arbitrarily shaped membranes. The arbitrarily shaped membrane is firstly mapped into a regular domain using blending functions， and the displacement in the element is assumed as the trigonometric functions. Explicit formulations are worked out for nodes of any type and a varying number of nodes. For verifications， results are compared with exact solutions and data obtained by other numerical methods. It is demonstrated that highly accurate frequencies can be obtained with a small number of nodes by present method.
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Clc Number:
V214
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