期刊
FINITE ELEMENTS IN ANALYSIS AND DESIGN
卷 61, 期 -, 页码 23-34出版社
ELSEVIER
DOI: 10.1016/j.finel.2012.06.005
关键词
Free vibration; Plate; Isogeometric analysis; NURBS; Kirchhoff plate
An isogeometric finite element method is presented for natural frequencies analysis of thin plate problems of various geometries. Non-Uniform Rational B-Splines (NURBS) basis function is applied for approximation of the thin plate deflection field, as for description of the geometry. The governing and discretized equation for the free vibration of the Kirchhoff thin plates is obtained using the standard Galerkin method. Several numerical examples are illustrated to demonstrate the effectiveness, robustness and accuracy of proposed method and compared with the theoretical solutions and other numerical methods. (c) 2012 Elsevier B.V. All rights reserved.
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