正交各向异性圆薄板大挠度问题

Large Deflection of Orthotropic Thin Circular Plates

本文引入载荷分布函数使复合载荷依单参数变化，并选取平均挠角作为单一的位移摄动参数，给出了在均布载荷和中心集中力联合作用下边缘可移夹支正交各向异性圆薄板大挠度问题的摄动解。

Based on the plate theory of Von Kármán, by means of the Perturbation Method, this paper presents an approximate solution for larger deflection of elastic orthotropic thin circular clamped plates under uniform pressure together with a concentrated load at the center. In this paper, a load distribution function is introduced so as to make the compound loads depend on a single load parameter, and average anglar deflection is being used as the single displacement perturbation parameter. The special case of vanishing central deflection is also discussed.