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Extraction of Accurate Eigenvalues of Plates Using a Meshless Method
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 Title & Authors
Extraction of Accurate Eigenvalues of Plates Using a Meshless Method
Kang, Sangwook; Woo, Yoonhwan;
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 Abstract
The Kansa method, which is used for various free vibration problems of arbitrarily shaped plates including membranes, discretizes the domain of a plate using only nodes without elements unlike FEM. The method requires a small amount of computation relative to FEM thanks to this discretization scheme but has limit in the accuracy of its solution. This paper reveals the reason of the limit and, to overcome the limit, proposes the practical method of calculating the singularity of a system matrix and extracting accurate natural frequencies. Case studies for a rectangular plate and an arbitrarily shaped plate validate the proposed method.
 Keywords
Meshless Method;Kansa Method;Natural Frequency;Plate;Simply Supported;
 Language
Korean
 Cited by
 References
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