The state-space approach is developed to analyze the dynamic behaviors of a multilayered two-dimensional piezoelectric quasicrystal circular cylinder filled with the compressible fluid. With simple support at both ends, the hollow cylindrical shell has imperfect bonding between the layers. The analytical solution of a homogeneous cylindrical shell has been derived based on the state equations. The general solution for the corresponding multilayered case is also obtained by utilizing the propagator matrix method. The numerical results present the natural frequencies in free vibration with different length-to-radius and radius-to-thickness ratios. The critical load and dynamic behaviors of the model are exactly predicted in the axial buckling problem. For the impulse case, the influences of the density of the filled fluid and coefficients of interfacial imperfections on the dynamic responses are also discussed.

中文翻译：

---

使用状态空间方法对充满可压缩流体的多层压电二维准晶圆柱壳进行动力学分析

开发了状态空间方法来分析填充有可压缩流体的多层二维压电准晶圆柱的动力学行为。在两端简单的支撑下，空心圆柱壳层之间的结合不完善。基于状态方程推导了均匀圆柱壳的解析解。相应的多层情况的通解也是利用传播矩阵法得到的。数值结果显示了具有不同长度半径和半径厚度比的自由振动的固有频率。在轴向屈曲问题中准确预测了模型的临界载荷和动态行为。对于脉冲情况，