摘要
从E. Reissner理论出发,考虑了横向剪切变形,推导出均布载荷、变厚度圆形中厚板的非线性弯曲方程,用具有两个小参数的摄动法,求出了精确度较高的三级解析解。此方法简便,计算精度高,理论与实际相当吻合。
In accordance with E. Reissner's plate theory, the govering differential equations of the nonlinear bending of moderately thick circular plates with variable thickness under the action of uniformly transverse loading were derived. By the perturbation method with two small parameters, a high precise analytical solution to the third order was obtained.
关键词
非线性
中厚度
圆板
剪切变形
perturbation
nonlinear
moderately thick circular plate
transverse shear deformation
variable thickness
