薄板弯曲问题的非奇异核边界元法<sup>*</sup>

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薄板弯曲问题的非奇异核边界元法^*

基金项目: * 国家自然科学基金资助课题

摘要: 本文从满足一定条件的Fourier级数出发,得到非奇异的基本解.用它作积分方程的核函数,从而给出了又一种薄板弯曲问题的边界元解法.本文方法可适应各种载荷和边界条件的要求,并且计算简单,精度高.
- 边界积分方程 /
- 基本解-级数
Abstract: In this paper,the nonsingular fundamental solutions are obtained from Fourier series under some given conditions.These solutions can be taken as the kernels of integral equation.So a new boundary element method is presented,with which all kinds of thin-plate bending problems can be solved,even with complicated loadings and sinuous boundaries.The calculation is much simpler and more accurate.
- boundary integral equation /
- fundamental solutions

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