摘要
根据E.Reissner平板理论,考虑横向剪切变形的影响,推导出在集中载荷下变厚度圆板和均布载荷下变厚度圆环板的弯曲方程。应用摄动法,求出了四级解析解。计算简便,精确度高。
Based on Reissner's plate theory which takes into account the influence of transverse shear deformation, we derived the bending equations of circular (ring) plate with variable thickness under two conditions: (1) a circular plate under central concentrated load, (2) a circular ring plate under uniform pressure. Using the perturbation method, an analytical solution up to the fourth order is obtained.
关键词
载荷
剪切变形
圆板
环形板
uniform distributed load
concentrated force
perturbation
variable thickness
transverse shear deformation
ring-shaped plate
circular plate
