弹性力学静力问题的SPH方法  

ELASTIC ANALYSIS BY IMPROVED SPH METHOD

作　　者：周岱[1] 陈思[1] 董石麟[1] 李华峰[1] 阳光[1] 

机构地区：[1]上海交通大学船舶海洋与建工学院空间结构研究中心,上海200030

出　　处：《工程力学》2008年第9期28-34,38,共8页Engineering Mechanics

基　　金：国家自然科学基金项目(10572091);高等学校博士学科点专项科研基金项目(20040248002)

摘　　要：光滑质点流体动力学方法(Smoothed Particle Hydrodynamics,SPH)是纯Lagrangian方法,可用于模拟流体或固体的静动力学问题。不需网格系统即可进行空间导数计算,可避免Lagrangian网格在处理结构变形计算时的缠结和扭曲问题。但经典SPH方法计算二阶以上导数时易引起计算失败。该文提出一种改进的SPH方法,既可避免二阶导数的计算失败,又可提高二阶导数的精度。据此计算了均布荷载作用下两端固结梁的变形问题。经与ANSYS计算结果比较,该方法的计算足够精确。虽以弹性力学小变形问题为例,但结论可推广到大变形情形。The Smoothed Particle Hydrodynamics （SPH） is a meshless and Lagrangian particle method which was successfully extended to computational fluid dynamics and elastic mechanics in the last decades. The computational tangle and torsion could be avoided in the calculation of structural deformation by using SPH. However, the numerical failure in the computation for two-order and more than two-order derivatives occurs in the study of elastic analysis. The present paper has developed an improved SPH which not only can avoid the computational failure, but also enhance computational precision. Despite the investigation is mainly focused on the structural small deformation, the conclusion is also suitable for the circumstance of the structural large deformation. Moreover, a numerical example is given and the error comparison of results is taken between the present method and ANSYS software.

关 键 词：弹性力学 无网格方法 光滑质点流体动力学 高阶导数 精度 

分 类 号：O33[理学—一般力学与力学基础]