蔡松柏, 王磊. 四边固支梯形板大挠度问题摄动解法[J]. 工程力学, 1987, 4(4): 14-21.
引用本文: 蔡松柏, 王磊. 四边固支梯形板大挠度问题摄动解法[J]. 工程力学, 1987, 4(4): 14-21.
Cai Shengbo, Wang Lai. PERTURBATION METHOD APPLIED TO LARGE DEFLECTION PROBLEM OF TRAPEZOID PLATES WITH GLAMPED EDGES[J]. Engineering Mechanics, 1987, 4(4): 14-21.
Citation: Cai Shengbo, Wang Lai. PERTURBATION METHOD APPLIED TO LARGE DEFLECTION PROBLEM OF TRAPEZOID PLATES WITH GLAMPED EDGES[J]. Engineering Mechanics, 1987, 4(4): 14-21.

四边固支梯形板大挠度问题摄动解法

PERTURBATION METHOD APPLIED TO LARGE DEFLECTION PROBLEM OF TRAPEZOID PLATES WITH GLAMPED EDGES

  • 摘要: 本文采用Voh—Karman薄板大挠度方程,以板中点挠度值作小参数求得了均布荷载下中面边界条件为Nn=0,Vs=0的固支梯形板的摄动解,本文特例与现有梯形板小挠度和矩形板大挠度结果比较吻合较好。文末还讨论了倾角对板挠度和内力的影响,所给图表对工程设计有实用价值。

     

    Abstract: An approximate solution for a uniformly loaded skew ard trapezoid plates with rigidly clamped edges and zero. Boundary normal stress and tangential displacement undergoing the moderately large deflection has been formulated by use of the perturbation method.

     

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