波纹夹层板自由振动的移动最小二乘无网格法  

Free vibration analysis of corrugated-core sandwich plate structures by the moving-least square meshfree method

作　　者：彭林欣[1] 严世涛[1] 杨绿峰[1] 

机构地区：[1]广西大学土木建筑工程学院,广西南宁530004

出　　处：《广西大学学报（自然科学版）》2010年第5期703-710,共8页Journal of Guangxi University（Natural Science Edition）

基　　金：国家自然科学基金资助项目(50768001);广西自然科学基金资助项目(桂科自0832053);广西大学科研基金资助项目(X081011)

摘　　要：提出了一种求解波纹夹层板结构自由振动问题的移动最小二乘无网格方法。将波纹夹层板视为由三个部件板组成的复合结构。先基于一阶剪切变形理论,由移动最小二乘近似建立各部件板的动力方程,再通过位移协调条件将这些动力方程叠加,以得到整体动力方程。采用全换法处理本征边界条件,并通过算例与有限元软件ANSYS的分析结果进行了对比,结果表明:文中所提出的无网格方法计算波纹夹层板结构自振频率具有较高的精度和效率。In order to study the free vibration behaviour of corrugated-core sandwich plate structure,a moving-least square meshfree method is introduced.The method includes the following steps：（1） a corrugated-core sandwich plate structure is simulated as an composite structure of three components;（2） the dynamic equations of the components are established based on the first-order shear deformation theory（FSDT） and the moving-least square approximation;（3） the dynamic equations of the components are supposed to obtain the dynamic equation of the entire structure by imposing the displacement compatible conditions between the components.The essential boundary conditions are introduced by the full transformation method.Several examples are employed to show the accuracy and efficiency of the proposed method.The results given by the proposed method are found to be close to those from ANSYS FEM analysis using shell elements.

关 键 词：波纹夹层板 自由振动 无网格法 移动最小二乘 全转换法 

分 类 号：TU357[建筑科学—结构工程]