Mindlin-Reissner板屈曲分析的光滑有限元法  

A Smoothed Finite Element Method for Buckling Analysis of Reissner-Mindlin Plates

作　　者：贾程[1] 陈国荣[2] 

机构地区：[1]盐城工学院土木工程学院,江苏盐城224051 [2]河海大学工程力学系,江苏南京210098

出　　处：《郑州大学学报（工学版）》2013年第5期38-42,共5页Journal of Zhengzhou University（Engineering Science）

基　　金：住建部资助项目(2012-K4-21);盐城工学院人才基金项目(XKR2011016)

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.A smoothed finite element method is applied to buckling analysis of plate, by using the first-order Reissner - 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 avoid shear 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 smoothed plate element is free of shear locking and achieves the high accuracy, compared with mixed interpolation plate element MITC4. And the most significant property is their insensitivity to mesh distortion aO that the restriction on the shape of classical isoparametric elements can be removed.

关 键 词：屈曲临界荷载 光滑有限元 应变光滑 MINDLIN Reissner板理论 

分 类 号：O342[理学—固体力学] TU311.2[理学—力学]