波纹夹层板线性弯曲分析的无网格伽辽金法  

BENDING ANALYSIS OF CORRUGATED-CORE SANDWICH PLATES BY THE ELEMENT-FREE GALERKIN METHOD

作　　者：彭林欣[1] 柏挺[1] 

机构地区：[1]广西大学土木建筑工程学院,南宁530004

出　　处：《工程力学》2011年第8期17-22,共6页Engineering Mechanics

基　　金：广西自然科学基金项目(桂科自0832053);广西大学科研基金项目(X081011)

摘　　要：提出了一种求解波纹夹层板结构线性弯曲问题的无网格模型。将波纹夹层板看成两侧平板和中间波纹板核的复合结构,用正交各向异性板等效近似波纹板核。先基于一阶剪切变形理论,由无网格伽辽金法建立各板的刚度方程,再通过位移协调条件将各板刚度方程叠加,以得到整体刚度方程。采用全转换法处理位移边界。算例表明:该文所提出的无网格模型分析波纹夹层板具有效率高、精度高和易于实现等优点。In order to analyze the flexure behavior of corrugated-core sandwich plates, a meshfree model of the structure is proposed in this paper. The corrugated-core sandwich plate is considered as a composite structure with three components, i.e., two flat plates located on the top and bottom of the structure and one corrugated core in the middle. The corrugated core is approximated by an equivalent orthotropie plate. Based on the first-order shear deformation theory （FSDT）, the stiffness equations of the plates are established using the element-free Galerkin method. After implementing the displacement compatibility conditions, the stiffness equations of the plates are superposed to obtain the stiffness equation of the entire structure. The full transformation method is employed to enforce the essential boundary conditions. Numerical examples show that the proposed model has such advantages as high efficiency. good accuracv and easy implementation.

关 键 词：波纹板 夹层板 无网格法 移动最小二乘 全转换法 

分 类 号：TU339[建筑科学—结构工程] O241.82[理学—计算数学]