对承受自重和顶部荷载的立板的屈曲性能进行了分析。竖向侧边为简支,通过一个准确有效的初值方法将Levy解法与一个常微分方程结合起来。同时也提出了精确公式和渐近公式。板的自重和顶部荷载都会引起板的非线性屈曲。对于窄板,如果其是由顶部荷载控制,那么其端部是固定或者简支都不重要;如果其是由自重控制,那么板的屈曲则完全由其端部约束条件决定。 The buckling behavior of the upright plate subjected to dead weight and top load was analyzed. The vertical sides are simply supported and the Levy solution is combined with an ordinary differential equation by an accurate and valid initial value method. At the same time, exact formulas and asymptotic formulas are also proposed. The weight of the plate and the top load all contribute to the nonlinear buckling of the plate. For narrow plates, it is not important if their ends are fixed or simply supported if they are controlled by the top load; if they are controlled by dead weight, the buckling of the plates is completely determined by their end constraints.