【摘要】 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。更多还原

【Abstract】 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.更多还原