摘要
本文以正交各向异性圆板的非线性弯曲理论为基础,用Chebyshev级数研究了在均布压力和中心集中载荷共同作用下,波纹圆板及具有硬中心的波纹环形板的大挠度问题。处理和分析了波纹板中心挠度为零的特殊情况并进行了具体求解,这是一种新的尝试和探索。用圆薄板的计算结果验证了本文方法的可靠性。文中还给出了波纹圆板和带硬中心的波纹环形板的数值结果。
The Chebychev polynomials are used to study large deflection problemsof corrugated circular plates with/without a plane central region under uniformload combined with a concentrited load at the center. The analysis is basedon the non-linear theory of orthotropic circuar plate bending. A plate withzero deflection at the center is treated and solved as a special case. Thenumerical results of a thin circular plate are presented for testing the relia-bility of the proposed method. Numerical studies of different cases are per-formed.
关键词
波纹板
非线性弯曲
复合载荷
non-linear plate bending
composite load
corrugated circularplate
