摘要
本文对具有初挠度狭长板的对称大挠度弯曲问题,证明了其解的存在性和唯一性,同时给出迭代公式、收敛条件和误差估计。构造了收敛于精确解的幂级数和三角级数序列。
The existence and uniqueness of the solutions for the large deflection bending of
narrow plates with initial deflection have been verified in this paper, in which the iterative
formulae, the convergence conditions and the error estimation are given. Moreover the
power series and trigonometric series sequences which converge to the exact solutions are
derived.
关键词
挠度
弯曲
狭长板
幂级数
计算
deflection
bending
existence
uniqueness/ narrow plates
