板弯曲问题的具两组高阶基本解序列的MRM方法  

Multiple Reciprocity Method With Two Series of Sequences of High-Order Fundamental Solution for Thin Plate Bending

作　　者：丁方允[1] 丁睿[2] 李炳杰[1] 

机构地区：[1]兰州大学数学系,兰州730000 [2]苏州大学数学科学学院,苏州215006

出　　处：《应用数学和力学》2003年第12期1267-1275,共9页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10201026);国家自然科学基金资助预研项目(T4107015)

摘　　要：　讨论了双参数地基上薄板弯曲问题·　利用两组高阶基本解序列,即调和及重调和基本解序列,采用多重替换方法(MRM方法)。The boundary value problem of plate bending problem on two_parameter foundation was discussed.Using two series of the high_order fundamental solution sequences,namely the fundamental solution sequences for the multi_harmonic operator and Laplace operator,applying the multiple reciprocity method(MRM),the MRM boundary integral equation for plate bending problem was constructed.It proves that the boundary integral equation derived from MRM is essentially identical to the conventional boundary integral equation.Hence the convergence analysis of MRM for plate bending problem can be obtained by the error estimation for the conventional boundary integral equation.In addition this method can extend to the case of more series of the high_order fundamental solution sequences.

关 键 词：板弯曲问题 MRM方法 边界积分方程 高阶基本解序列 

分 类 号：O175.8[理学—数学]