粘弹性薄板动力响应问题的MRM方法及收敛性分析

Multiple Reciprocity Method (MRM) for solving dynamics response of viscoelastic thin plate and its convergence analysis

首先在Laplace变换区域中得到了由重调和算子基本解序列给出了粘弹性薄板动力响应问题的多重互易法 (MRM )方法 .并对粘弹性薄板的动力响应问题的多重互易法给出了收敛性分析 ,证明了MRM方法导出的边界积分方程的解与边值问题基本解导出的常规边界方程的解是相同的 .采用变分方法系统分析了相应问题的边界变分方程 。

In this paper,firstly we present some results about of Multiple Reciprocity Method (MRM) for solving dynamics response of Viscoelastic thin plate,and the convergence analysis for MRM is given.We prove that the solution of the boundary integral equation obtained by MRM is the same as the one derived from the conventional fundamental soulution of boundary value problem.Applying variational method we analyze the existence and uniqueness for the solution of the corresponding boundary variational equation,truncated MRM boundary variational equation.