摘要
基于双参数Pasternak弹性地基模型,将杂交边界点法与双互易法结合,用于弹性地基板弯曲问题的分析。将地基反力与横向载荷一起作为非齐次项,利用径向基函数插值得到特解,而齐次方程的通解则使用杂交边界点法求解。该方法无论插值还是积分都不需要网格,域内点仅用来插值非齐次项,因而仍是一种边界类型的无网格方法。数值算例表明:该文方法在分析弹性地基板弯曲问题时,具有计算精度高和收敛速度快等优点。
Based on two-parameter elastic foundation model,the dual reciprocity method（DRM） and the hybrid boundary node method（HBNM） are combined for solving bending problems of a thin plate on elastic foundation.The subgrade reaction,as well as the transverse load,is treated as the non-homogeneous term,and the particular solution is approximated by using radial basis function（RBF）,while the complementary one is obtained by means of HBNM.No meshes are needed either for variables interpolation or for energy integration.Several nodes in the domain are needed just for RBF interpolation.Therefore,the present method is still a boundary type meshless method.Several examples given in this paper have shown that,in solving the bending problems of thin plates resting on elastic foundation,the present method has high accuracy and convergence.
出处
《工程力学》
EI
CSCD
北大核心
2013年第4期35-41,共7页
Engineering Mechanics
基金
中国科学院"百人计划"项目
关键词
无网格法
杂交边界点法
双互易法
薄板弯曲
双参数弹性地基
meshless method
hybrid boundary node method
dual reciprocity
thin plate bending
two-parameter elastic foundation
