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解薄板弯曲问题的附设边界单元法

Auxiliary Boundary Element Method for Solving Plate Bending Problems
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摘要 本文用间接边界元法解薄板弯曲问题时,将虚拟荷载作用在研究域外的一种特殊附设边界上,该附设边界的单元和原边界上的对应单元互相平行、长度相等,但单元之间可能是断续的,故称为断续附设边界.采用这种附设边界,有效地避免了奇异积分和提高了数值解的精度. In this paper fictious loads are applied to a special auxiliary boundary for solving plate bending problems by indirect BEM. The element on the auxiliary boundary is parallel to , and has the same length as, the corresponding element on the original boundary. Since it is usually discontinuous, it is called intermittent auxiliary boundary. By this method improper integrals are avoided and accuracy is improved.
作者 徐汉忠
出处 《河海大学学报(自然科学版)》 CAS CSCD 1990年第1期60-66,共7页 Journal of Hohai University(Natural Sciences)
关键词 薄板 弯曲 边界元 附设边界 boundary element method auxiliary boundary plate bending problems indirect method
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参考文献2

  • 1许永林,唐锦春.边界积分直接法解板的弯曲问题[J]浙江大学学报,1985(02).
  • 2M. A. Jaswon,M. Maiti. An integral equation formulation of plate bending problems[J] 1968,Journal of Engineering Mathematics(1):83~93

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