变厚度圆板大挠度理论的摄动法

本文用对两个小参数的摄动法,对于轴对称圆薄板大挠度问题,在板厚按指数规律变化、载荷为均布的情况下,求出了三级摄动解。所得摄动解在特殊情况下与精确解的比较表明结果是较为理想的。

Perturbation Method in the Problem of Large Deflections of Circular Plates with Nonuniform Thickness

In this paper the perturbation method about two parameters is applied to the problem of large deflections of a circular plate with exponentially varying thicknesses under uniform pressure, An asymtotic solution up to the third-order is derived. In comparison with the exact solutions in special cases,the asymtotic solution shows a precise accuracy.