航空学报 > 1990, Vol. 11 Issue (7): 383-388

边界元法在薄板稳定问题中的应用

武秀丽, 张相周, 汤龙华   

  1. 西北工业大学
  • 收稿日期:1988-12-05 修回日期:1900-01-01 出版日期:1990-07-25 发布日期:1990-07-25

APPLICATIONS OF BOUNDARY ELEMENT METHOD TO BUCKLING OF PLATES

Wu Xiuli, Zhang Xiangzhou, Tang Longhua   

  1. Northwestern Polytechnical University
  • Received:1988-12-05 Revised:1900-01-01 Online:1990-07-25 Published:1990-07-25

摘要: <正> 1.基本公式 弹性薄板的稳定方程为式中D是板的弯曲刚度;λ是临界载荷因子;为双Laplace算子;N_1,N_2,N_3为板的中而力。 首先确定基本解。即:在无穷域上某一点作用一个单位力时,双调和微分算子的解,即板的挠度。与板的挠度相对应的基本解对应于方程

关键词: 边界元, 薄板, 弯曲, 基本解

Abstract: The paper gives out boundary as well as area integral equations with which critical loadings of arbitrary-shaped thin elastic plates with smooth boundary or with boundaries containing a finite number of corner points under various kinds of boundary conditions can be obtained. Furthermore, by means of programming and calculations for a number of typical examples, especially, for the plates with free-edges, satisfactory results show that the method provided in this paper is applicable to the buckl

Key words: boundary element method, thin plate, buckling, fundamental solution.