An element free Galerkin method for the free vibration analysis of composite laminates of complicated shape

被引：117

作者：

Chen, XL ^{[1
]}

Liu, GR ^{[1
]}

Lim, SP ^{[1
]}

机构：

[1] Natl Univ Singapore, Ctr Adv Computat Engn Sci, Dept Mech Engn, Singapore 119260, Singapore

来源：

COMPOSITE STRUCTURES | 2003年 / 59卷 / 02期

关键词：

element free Galerkin method; vibration; laminates; numerical analysis; eigenvalue analysis;

D O I：

10.1016/S0263-8223(02)00034-X

中图分类号：

O3 [力学];

学科分类号：

08 [工学]; 0801 [力学];

摘要：

An element free Galerkin (EFG) method is proposed to analyze the natural frequencies of composite laminates of complicated shape. The present method uses moving least squares (MLS) approximation to construct shape functions based on a set of nodes scattered in the problem domain. The dynamic equations of the system are formulated using the Lagrangian equation. The essential boundary conditions are imposed using their weak forms with Lagrange multipliers. Orthogonal transformation technique is used to implement the essential boundary conditions in the eigenvalue equation. The present EFG method is coded in Fortran. Numerical examples are presented for plates of square, elliptical and complicated shapes, with different boundary conditions. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：279 / 289

页数：11

共 21 条

[1]

[Anonymous], P 3 HPC AS 98 SING

[2]

ELEMENT-FREE GALERKIN METHODS FOR STATIC AND DYNAMIC FRACTURE [J].

BELYTSCHKO, T ;

LU, YY ;

GU, L ;

TABBARA, M .

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1995, 32 (17-18) :2547-2570

[3]

Evaluation of fundamental vibration frequency of an orthotropic bending plate by using an iterative approach [J].

Chen, YZ .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 161 (3-4) :289-296

[4]

CHENG M, 1999, 4 INT AS PAC C COMP

[5]

TRANSVERSE VIBRATION OF SYMMETRICALLY LAMINATED RECTANGULAR COMPOSITE PLATES [J].

CHOW, ST ;

LIEW, KM ;

LAM, KY .

COMPOSITE STRUCTURES, 1992, 20 (04) :213-226

[6]

An introduction to programming the meshless Element Free Galerkin method [J].

Dolbow, J ;

Belytschko, T .

ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING, 1998, 5 (03) :207-241

[7]

Meshless methods for shear-deformable beams and plates [J].

Donning, BM ;

Liu, WK .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1998, 152 (1-2) :47-71

[8]

Gontkewitz V. C., 1964, NATURAL VIBRATION PL

[9]

GRIFFEL DH, 1989, LINEAR ALGEBRA ITS A

[10]

Element-free Galerkin methods in combination with finite element approaches [J].

Hegen, D .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 135 (1-2) :143-166

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