复合载荷下圆形中厚板的非线性弯曲

Bending Analysis of Circular Medium Plate under Compound Load

采用Ｒｅｉｓｓｎｅｒ理论考虑横向剪切变形的影响，导出在均布载荷和中心力联合作用下圆形中厚板的非线性弯曲方程，并引入载荷分布函数使复合载荷按单参数变化，选取平均挠角为单一的位移参数。

According to Ressner's plate theory,the basic differential equations of the nonlinear bending of circular medium pletes,under uniform pressure combined with concentrated load at the center,including the effect of transverse shear deformation,are derived.A load distribution function is introduced as to make the compound loads varying with a single load parameter. Average angular deflection is used as the single displacement perturbation parameter, by means of the perturbation method.A more high precise solution was obtained.