In this research, buckling and vibrational characteristics of a spinning cylindrical moderately thick shell covered with piezoelectric actuator carrying spring-mass systems are performed. This structure rotates about axial direction and the formulations include the Coriolis and centrifugal effects. In addition, various cases of thermal (uniform, linear, and nonlinear) distributions are studied. The modeled cylindrical moderately thick shell covered with piezoelectric actuator, its equations of motion, and boundary conditions are derived by the Hamilton's principle and based on a moderately cylindrical thick shell theory. For the first time in the present study, attached mass-spring systems has been considered in the rotating cylindrical moderately thick shells covered with piezoelectric actuator. The accuracy of the presented model is verified with previous studies. The novelty of the current study is consideration of the applied voltage, rotation, various temperature distributions, and mass-spring systems implemented on proposed model using moderately cylindrical thick shell theory. Generalized differential quadrature method is examined to discretize the model and to approximate the governing equations. In this study, the simply supported conditions have been applied to edges θ = π / 2 , 3 π / 2 and cantilever (clamped–free) boundary conditions has been studied in x = 0, L, respectively. Finally, the effects of the applied voltage, angular velocity, temperature changes, and spring-mass systems on the critical voltage, critical angular speed, critical temperature, and natural frequency of the structure are investigated.

中文翻译：

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系统参数对耦合压电致动器的旋转悬臂圆柱3D壳屈曲和频率分析的影响

在这项研究中，执行了一个旋转的圆柱形中等厚度外壳的屈曲和振动特性，该外壳覆盖有带有弹簧质量系统的压电致动器。这种结构绕轴向旋转，公式包括科里奥利效应和离心效应。此外，还研究了各种热（均匀、线性和非线性）分布情况。建模的圆柱形中等厚壳覆盖有压电致动器，其运动方程和边界条件由哈密顿原理推导出，并基于中等圆柱形厚壳理论。在本研究中，首次在覆盖有压电致动器的旋转圆柱形中等厚壳中考虑了附加质量弹簧系统。先前的研究验证了所提出模型的准确性。当前研究的新颖之处在于考虑了施加的电压、旋转、各种温度分布以及使用中等圆柱厚壳理论在所提出的模型上实施的质量弹簧系统。检查广义微分正交方法以离散化模型并逼近控制方程。在这项研究中，简支条件已应用于边缘 θ = π / 2 , 3 π / 2 并且分别在 x = 0, L 中研究了悬臂（无夹）边界条件。最后，研究了外加电压、角速度、温度变化和弹簧质量系统对结构临界电压、临界角速度、临界温度和固有频率的影响。