摘要
基于Kriging插值无网格法,提出了实际应用中复杂轴对称弹性力学问题求解的一条新途径.Kriging插值无网格法是一种新型的无网格法,该方法构造的形函数满足Kronecker delta函数性质,可以直接施加本质边界条件.采用Kriging插值无网格法分析轴对称问题,得到了轴对称问题的无网格离散方程,并编制了相应的计算程序.通过厚壁圆筒的静力学和动力学分析,对所提方法进行了检验.数值算例结果表明,提出的方法对求解轴对称弹性力学问题是行之有效的.
A new algorithm for solving complex axisymmetric elasticity problems was put forward on the basis of the meshless Kriging interpolation method. The meshless Kriging interpolation method is a new type meshless method. Because the shape functions constructed by the moving Kriging interpolation method possess Kronecker delta property, the essential boundary conditions can be easily imposed as in the traditional finite element method. In this paper, the meshless Kriging interpolation method was developed to solve axisymmetric elasticity problems. The meshless discrete equation of axisymmetric elasticity problems was obtained and the corresponding computer programs were developed. Numerical examples for a thick-walled cylinder were studied to validate the proposed approach. Both static and dynamic cases were taken into accounts. Numerical examples show that the proposed method for solving axisymmetric elasticity problems is effective.
出处
《力学季刊》
CSCD
北大核心
2014年第3期507-512,共6页
Chinese Quarterly of Mechanics
基金
铁路环境振动与噪声教育部工程研究中心资助(13TM05)
