[1]贾程,陈国荣..Mindlin-Reissner板屈曲分析的光滑有限元法[J].郑州大学学报(工学版),2013,34(05):38-42.[doi:10.3969/j.issn.1671-6833.2013.05.008]
　JIA Cheng,CHEN Guo-rong.A Smoothed Finite Element Method for Buckling Analysis of Reissner-Mindlin Plates[J].Journal of Zhengzhou University (Engineering Science),2013,34(05):38-42.[doi:10.3969/j.issn.1671-6833.2013.05.008]
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Mindlin-Reissner板屈曲分析的光滑有限元法()
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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:
34
期数:
2013年05期
页码:
38-42
栏目:
出版日期:
2013-09-10

文章信息/Info

Title:
A Smoothed Finite Element Method for Buckling Analysis of Reissner-Mindlin Plates
作者:
贾程; 陈国荣.
盐城工学院土木工程学院,江苏盐城,224051, 河海大学工程力学系,江苏南京,210098
Author(s):
JIA Cheng1; CHEN Guo-rong2
1. Sechoo of Civil Engineering，Yancheng Institute of Technology，Yancheng 224051, China; 2. Department of Engineering Me-chanics , Hohai University , Nanjing 210098 , China
关键词:
屈曲临界荷载;  光滑有限元;  应变光滑;  Mindlin Reissner板理论
Keywords:
buckling critical load;  smoothed finite element method;  strain smoothing; Reissner-Mindlin platetheory
分类号:
0342TU311 .2
DOI:
10.3969/j.issn.1671-6833.2013.05.008
摘要:
采用一阶Mindlin-Reissner板理论(FSDT),应用光滑有限元法分析板的屈曲问题.通过使用应变光滑技术,沿单元内的光滑格子边界积分形成单元的弯曲刚度矩阵和几何刚度矩阵.为了避免剪切锁定问题,采用混合插值法计算剪切应变.利用该光滑板单元分别分析板的单轴受压、双轴受压和平面内纯剪三种情况下的屈曲临界荷载.数值算例表明,光滑板单元不存在剪切锁定问题,和混合插值四边形板单元MITC4相比具有较高的精度,而且最重要的是其对网格畸变不敏感,摆脱了传统等参元对单元形状的限制.
Abstract:
A smoothed finite element method is applied to buckling analysis of plate,by using the first-orderReissner - Mindlin plate theory ( FSDT). The bending stiffness matrix and geometrical stiffness matrix for el-ement used strain smoothing technicque is calculated by a boundary integral along the boundaries of the smoot-hing cells in element. The mixed interpolation method is employed to calculate shear strains in order to avoidshear locking. Buckling loads of plates subject to uniformly uniaxial,biaxial compression and pure shear in-plane are studied using the smoothed plate element respectively. Numerical examples show that the smoothedplate element is free of shear locking and achieves the high accuracy,compared with mixed interpolation plateelement MITTC4.And the most significant property is their insensitivity to mesh distortion sg that the restrictionon the shape of classical isoparametric elements can be removed.
更新日期/Last Update: 1900-01-01