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该文基于Donnell薄壳理论,考虑各层锥顶点的水平偏移,分别建立了基壳和约束壳的控制方程。仅考虑粘弹性层剪切变形的影响,由线粘弹性理论,结合基壳、约束壳的控制方程和粘弹性层的法向平衡方程,导出了PCLD圆锥层合壳的整合一阶常微分矩阵方程。该方程的系数矩阵不是常数矩阵,各元素的表达式较PCLD圆柱壳复杂。然后,借助基于精细积分技术的传递矩阵法提出了一种分析PCLD圆锥层合壳振动和阻尼特性的半解析、半数值方法。通过与文献值的对比,证明了该文方法的有效性。该文还讨论了各种参数对系统固有频率和损耗因子的影响。
Based on the Donnell shell theory, the governing equations of the base shell and the bounding shell are established respectively considering the horizontal offset of the cone vertices of each layer. Considering only the influence of viscoelastic layer shear deformation, linear first-order differential matrix (PCLD) of PCLD conical laminated shells is derived from the linear viscoelastic theory, the governing equation of combined shell and bound shell and the normal equilibrium equation of viscoelastic layer. equation. The coefficient matrix of the equation is not a constant matrix, and the expression of each element is more complicated than the PCLD cylindrical shell. Then, by means of the transfer matrix method based on the precise integral technique, a semi-analytical and semi-numerical method for analyzing the vibration and damping characteristics of PCLD conical laminated shells is proposed. By comparing with the literature, the validity of the method is proved. The article also discusses the effect of various parameters on the natural frequency and loss factor of the system.