单向压力作用下有初挠度矩形板的有效宽度和减缩有效宽度

本文应用von－karman大挠度薄板方程，对承受单向面内压力的有初挠度矩形板进行后屈曲特性分析（其中挠曲函数取为双博氏级数展开式的前三项）。用参数摄动法求解非线性代数方程组，得到最大压应力与平均压应力之间，平均压应力与平均应变之间的显式函数表达式。进而推导出有初挠度矩形板的有效宽度和减缩有效宽度公式，并着重分析了两者的不同。

EFFECTIVE WIDTH AND REDUCED EFFECTIVE WIDTH OF A RECTANGULAR PLATE WITH INITIAL DEFLECTION UNDER UNIAXIAL COMPRESSION

The postbuckling behavior of a rectangular plate with initial deflection loaded alongtwo opposite straight edges is analysed using the von-Kdrmdn equations. The non-linearalgebric equations generated are solved approximately using a perturbation technique,which facilities the development of explicit expression for edge stress, average strain andstiffness. Then, theoretical formulae for the effective width and reduced effective width ofa rectangular plate with initial deflection are derived. The difference between them ispointed out.