自由的度的冷凝作用技术首先被建议为有弹性的动态分析与 Galerkin 弱形式改进 meshfree 方法的计算效率。在现在的方法,没有连接,散布了节点被房间与任意的形状划分成几个子集。本地分离方程被使用动人的 Kriging 插值,在房间定位了的节点在被用于近似在每个房间上建立。然后本地的分离方程能被自由的度的冷凝作用简化,它基于房间把内部节点的方程转移到边界节点的方程。全球动态系统方程被装配所有本地分离方程获得并且被使用标准含蓄的 Newmarks 时间集成计划解决。在现在的方法的计划,每个房间的计算被 meshfree 方法执行,并且本地搜索在插值被实现。数字例子证明现在的方法在解决有弹性的动态问题有高计算的效率和好精确性。
Condensation technique of degree of freedom is first proposed to improve the computational efficiency of meshfree method with Galerkin weak form for elastic dy- namic analysis. In the present method, scattered nodes with- out connectivity are divided into several subsets by cells with arbitrary shape. Local discrete equation is established over each cell by using moving Kriging interpolation, in which the nodes that located in the cell are used for approxima- tion. Then local discrete equations can be simplified by con- densation of degree of freedom, which transfers equations of inner nodes to equations of boundary nodes based on cells. The global dynamic system equations are obtained by as- sembling all local discrete equations and are solved by using the standard implicit Newmark's time integration scheme. In the scheme of present method, the calculation of each cell is carried out by meshfree method, and local search is imple- mented in interpolation. Numerical examples show that the present method has high computational efficiency and good accuracy in solving elastic dynamic problems.