轴对称构件受力分析的插值粒子法  

Interpolating particle method for mechanical analysis of space axisymmetric components

作　　者：杜红秀[1] 魏宏[1] 秦义校[2] 李中华 王同尊 

机构地区：[1]太原理工大学建筑与土木工程学院,太原030024 [2]太原科技大学机械工程学院,太原030024 [3]山推工程机械有限公司,济宁272000

出　　处：《物理学报》2015年第10期41-47,共7页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:51478290);山西省自然科学基金(批准号:2013011022-6)资助的课题~~

摘　　要：面对土木工程与机械工程中广泛存在的轴对称力学问题,采用具有离散点插值特性的无网格方法形函数,结合弹性力学空间轴对称问题的最小势能原理,建立了轴对称构件力学分析的插值粒子法.本文无网格法方法构造形函数不依赖网格,也具有像有限元法一样可直接施加边界条件的优点.本方法能直接获得全域连续应力场,避免了有限元法应力后处理二次拟合带来的计算误差.最后通过实例分析,验证了所建立的无网格方法的有效性.For the mechanical analyses of the axisymmetric structures in civil and mechanical engineering, combining the interpolating reproducing kernel particle method and the principle of minimum potential energy of space axisymmetrical elastic problems, the interpolating particle method for space axisymmetrical problem of elasticty is presented. And the corresponding matrix equations are deduced. This method employs the shape function with interpolating properties of scatter points and forms the displacement trial function to get rid of dependence on meshes, so it has an advantage that it can directly exert boundary conditions and can increase the computation eiYiciency. This method can obtain the global continuous stress field directly and avoid the fitting calculation error of stress in the post-processing of finite element method, then it is a high-precision numerical simulation method. Numerical examples are given to show the validity of the new mesh-less method in the paper.

关 键 词：插值重构核粒子法 空间轴对称 弹性问题 无网格方法 

分 类 号：O312[理学—一般力学与力学基础]