具初始缺陷的反对称叠层铺设圆柱厚壳的大幅值振动

Large Amplitude Vibration of Anti-symmetrically Laminated Imperfect Cylindrical Thick Shell

本文扩展了唐纳尔（Ｄｏｎｎｅｌｌ）壳体理论，应用于包括横向剪切变形的具初始缺陷及混合边界条件的反对称角铺设圆柱厚壳的分析。给出了以广义双富里哀级数表示的无阻尼自由振动下的多模态解，其中与时间相关的系数由谐波平衡法确定。计算了不同参数下叠层圆柱厚壳的非线性自由振动基频，且与有关文献进行了比较。

In this paper the Donnell-type shell theory is extended to include the transverse shear forthe analysis of a anti-symmetric angle-ply imperfect cylindrical shell with mixed boundary conditions. Amulti-mode solution is presented in the form of generalized double Fourier series with time-dependentcoefficients determined by the method of harmonic balance for undamped free vibrations.Numerical re-sults for fundamental nonlinear free vibration of cylindrical laminates are presented graphically for dif-ferent parameters and compared with available data.Manuscript received on June 8, 1994 This work is supported by the National Educational Commite of China for visiting scholar and by the Natural Science Research Council of China