Free vibration analysis of thin plates by using a NURBS-based isogeometric approach

被引：137
作者：
Shojaee, S. [1 ]
Izadpanah, E. [1 ]
Valizadeh, N. [1 ]
Kiendl, J. [2 ]
机构：
[1] Shahid Bahonar Univ, Dept Civil Engn, Kerman, Iran
[2] Tech Univ Munich, Lehrstuhl Statik, D-80333 Munich, Germany
来源：
FINITE ELEMENTS IN ANALYSIS AND DESIGN | 2012年 / 61卷
关键词：
Free vibration; Plate; Isogeometric analysis; NURBS; Kirchhoff plate; ESSENTIAL BOUNDARY-CONDITIONS; FLUID-STRUCTURE INTERACTION; POINT INTERPOLATION METHOD; FORMULATION; ELEMENTS;
D O I：
10.1016/j.finel.2012.06.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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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页码：23 / 34
页数：12
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