Based on the general linear elastic theory of thin shells and the potential flow theory, considering energy dissipation of passive constrained layer damping (PCLD) due to shear deformation of its viscoelastic core and fluid-solid coupled interaction, a first order integrated differential matrix equation of a circular cylindrical shell with PCLD treatment was derived firstly. Each element in the state vector of the equation had clearly physical means, so it could be convenient- ly applied to solve dynamic problems of a circular cylindrical shell with different boundary conditions. Secondly, through writing the fluid dynamic pressure as an analytical form with undetermined coefficients and applying the fluid-solid interac- tion condition, the homogenous extended capacity precision integration method and the superposition principle, a semi-an- alytical and semi-numerical method with high efficient and precision was established. Comparing with the analytical solu- tions of the axis-symmetrical free vibration of a cylindrical shell (no water filled) fully treated with PCLD under simply supported conditions at beth ends, the results obtained by this method were effective. Finally, the dynamic responses of fluid-filled cylindrical shells with partially treated PCLD under harmonic ground motion were presented, and damping effects of different thicknesses, lengths, and locations of PCLD and the complex shear modulus model of the viscoelastic core were studied.%基于一般情况下的线弹性薄壳方程和势流理论,考虑被动约束层阻尼(PCLD)的剪切变形的能量耗散和液固耦合相互作用,文中首先导出了PCLD圆柱层合壳的整合一阶矩阵微分方程,该方程的状态向量的每个元素都有明确的物理意义,更方便用于层合壳体在各种边界支承条件的动力学问题的求解.然后通过将流体动压力写成含待求系数的解析形式,借助流同交接条件、新型齐次扩容精细积分法和叠加原理,建立了一种分析该类结构耦振问题的高效率、高精度的半解析半数值方法.通过与无水、两端简支的全覆盖PCLD圆柱壳在轴对称情况下自由振动的解析解结果比较,验证了该方法的有效性.最后基于文中提出的方法,研究了部分覆盖PCLD贮液圆柱容器在地面运动激励下的动力响应,研究了PCLD厚度、长度、敷设位置以及粘弹芯的复剪切模量模型对减振效果的影响.
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