A local radial point interpolation method (LRPIM) for free vibration analyses of 2-D solids

被引：473

作者：

Liu, GR ^{[1
]}

Gu, YT ^{[1
]}

机构：

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

来源：

JOURNAL OF SOUND AND VIBRATION | 2001年 / 246卷 / 01期

关键词：

D O I：

10.1006/jsvi.2000.3626

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A local radial point interpolation method (LRPIM) is presented to deal with boundary-value problems for free vibration analyses of two-dimensional solids. Local weak forms are developed using weighted residual method locally from the partial differential equation of free vibration. A technique to construct shape functions using radial function basis is proposed. The shape functions so formulated possess delta function property. Essential boundary conditions can be implemented with ease as in the finite-element method. Some important parameters on the performance of LRPIM are also investigated thoroughly. Numerical examples for free vibration analyses of two-dimensional solids to demonstrate the validity and efficiency of the present LRPIM are presented. (C) 2001 Academic Press.

引用

页码：29 / 46

页数：18

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