In this paper, the free and forced vibration behavior of coupled composite laminated shell are investigated by using a domain decomposition method under the elastic boundary condition. The coupled shell structure is combined in the form of a double curved shell-cylindrical shell-double curved shell, and the double curved shells at both ends are combined with the cylindrical shell upside down (figure 1). The double curved shell contains the elliptical, paraboloidal and hyperbolical shells. multi-segment partitioning technique is employed to establish the theoretical model based on the first-order shear deformation theory (FSDT). Regardless of the shell types and boundary conditions, the displacement functions of each shell are expended by the orthogonal ultraspherical polynomials in the meridional direction, and by the standard Fourier series in the circumferential direction. The boundary and continue conditions are generalized by the artificial spring technology. The convergence study and numerical comparison with finite element method (FEM) demonstrates that the proposed method has good reliability and accuracy to analyze the dynamic characteristics of the coupled composite laminated shell. The effects of material properties, geometric dimension, boundary condition and external force on the coupled composite laminated shell structure are proposed with some numerical results.

本文采用弹性边界条件下的域分解方法研究了耦合复合材料层合壳的自由和受迫振动行为。耦合壳结构采用双曲壳-圆柱壳-双曲壳组合形式，两端双曲壳与圆柱壳倒置组合（图1）。双曲面壳包含椭圆形、抛物面形和双曲形壳。基于一阶剪切变形理论（FSDT），采用多段分割技术建立理论模型。无论壳类型和边界条件如何，每个壳的位移函数在子午方向上由正交超球面多项式展开，并由圆周方向的标准傅立叶级数。边界和连续条件由人工弹簧技术概括。与有限元法(FEM)的收敛性研究和数值比较表明，该方法具有良好的可靠性和准确性，用于分析耦合复合层合壳的动力学特性。提出了材料特性、几何尺寸、边界条件和外力对耦合复合层合壳结构的影响，并给出了数值结果。与有限元法(FEM)的收敛性研究和数值比较表明，该方法具有良好的可靠性和准确性，用于分析耦合复合层合壳的动力学特性。提出了材料特性、几何尺寸、边界条件和外力对耦合复合层合壳结构的影响，并给出了数值结果。与有限元法(FEM)的收敛性研究和数值比较表明，该方法具有良好的可靠性和准确性，用于分析耦合复合层合壳的动力学特性。提出了材料特性、几何尺寸、边界条件和外力对耦合复合层状壳结构的影响，并给出了一些数值结果。