合肥工业大学学报(自然科学版)
閤肥工業大學學報(自然科學版)
합비공업대학학보(자연과학판)
JOURNAL OF HEFEI UNIVERSITY OF TECHNOLOGY
2001年
2期
256-261
,共6页
Reissner型板%边界点法%边界元法
Reissner型闆%邊界點法%邊界元法
Reissner형판%변계점법%변계원법
文章采用Reissner型板基本解来构建一系列特解,再通过边界点法确定边界元方程系效矩阵的全部元素。解算中不涉及具体插值,不用数值积分,避免了奇性处理,而任意点物理量的计算不依赖于待解的边界未知量,算效高,精度好。该法还可用来分析其它各类板壳问题,无论是各向同性还是各向异性的,不同的只是应按各自的基本解来构造全特解场矩阵。
文章採用Reissner型闆基本解來構建一繫列特解,再通過邊界點法確定邊界元方程繫效矩陣的全部元素。解算中不涉及具體插值,不用數值積分,避免瞭奇性處理,而任意點物理量的計算不依賴于待解的邊界未知量,算效高,精度好。該法還可用來分析其它各類闆殼問題,無論是各嚮同性還是各嚮異性的,不同的隻是應按各自的基本解來構造全特解場矩陣。
문장채용Reissner형판기본해래구건일계렬특해,재통과변계점법학정변계원방정계효구진적전부원소。해산중불섭급구체삽치,불용수치적분,피면료기성처리,이임의점물리량적계산불의뢰우대해적변계미지량,산효고,정도호。해법환가용래분석기타각류판각문제,무론시각향동성환시각향이성적,불동적지시응안각자적기본해래구조전특해장구진。
In this paper, a series of particular solutions are formed by utilizing correspondent Reissher′s plate fundamental solutions. Thus all elements in the coefficient matrix of boundary element equations for plates to be solved will be determined by boundary point method. In the process of solving, interpolation and numerical integration are not needed and numerical treatment for singular integration is avoided, meanwhile, the calculation of physical characteristics of any point does not depend on boundary unknowns to be solved, therefore, the accuracy is excellent. The method presented may be applied to solving the problems of all kinds of plates and shells no matter if the problem is isotropic or anisotropic. But it should be noticed that the matrix of all particular solution field should conform with the fundamental solution of the specific problem.