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一边简支二边固支对称三角形板的弯曲
引用本文:朱向标,朱如鹏.一边简支二边固支对称三角形板的弯曲[J].南京航空航天大学学报,1994,26(5):711-715.
作者姓名:朱向标  朱如鹏
作者单位:南京航空航天大学测试工程系,南京航空航天大学机械工程系
摘    要:杂形板弯曲问题的准确解是薄板理论中的难题之一,作者以前应用三角级数加多项式的方法解决了悬臂对称三角形板在均布载荷作用下的弯曲问题,在这篇论文中,作者再次应用该方法首次获得了一边简支二边固支对称三角形板在均布载荷作用下弯曲问题的准确解,所获得的解满足微分方程和所有的边界条件,计算方法具有良好的收敛性。

关 键 词:三角形    弯曲  级数  航空器  计算

Bending of Symmetric Triangular Plate Possessing a Simply Supported Edge and Two Clamped Edges
Zhu Xiangbiao.Bending of Symmetric Triangular Plate Possessing a Simply Supported Edge and Two Clamped Edges[J].Journal of Nanjing University of Aeronautics & Astronautics,1994,26(5):711-715.
Authors:Zhu Xiangbiao
Abstract:In the theory of thin plate,the bending of plates of various shapes is considered as one of the difficult problems.The authors used the method of trigonometric series and polynomial to solve the problem for the bending of a cantilever plate in a symmetric triangular shape under uniform load.This method is also used to get an accurate solution for the bending of a symmetric triangular plate with boundaries of one simply supported edge and two clamped edges,under uniform load. The solution satisfies the differential equation and boundary conditions.Calculations show that the method is of good convergence.
Keywords:triangular  plates  bending  series
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