This article studies dynamic characteristics of a novel porous cylindrical hollow rotor based on the first-order shear deformation theory and Hamilton’s principle. The proposed model is made from a core including aluminum with porosity integrated with an arrangement of functionally graded piezoelectric patches placed on its inner and outer surfaces with a customized circumferential orientation. The piezoelectric patches are subjected to applied electric potential as sensor and actuator. The kinematic relations are developed based on the first-order shear deformation theory. Hamilton’s principle is used to derive governing equations of motion with calculation of strain and kinetic energies and external work. Solution procedure of the partial differential equations of motion is developed using Galerkin technique for simple boundary conditions. The accuracy and trueness of this work is justified using a comprehensive comparison with previous valid references. A large parametric study is presented to show influence of significant parameters such as dimensionless geometric parameters, porosity coefficient, angular speed, inhomogeneous index, and characteristics of patches on the mode shapes, natural frequencies, and critical speeds of the structure.

中文翻译：

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多孔转子的自由振动分析与内外表面周向分布的功能梯度压电贴片的规则图案相结合

本文基于一阶剪切变形理论和哈密顿原理研究了一种新型多孔圆柱空心转子的动力学特性。所提出的模型由一个核心制成，该核心包括具有多孔性的铝，并与一系列功能梯度压电贴片集成在一起，这些贴片放置在其内外表面，具有定制的圆周方向。压电贴片作为传感器和致动器受到施加的电势。运动学关系是基于一阶剪切变形理论开发的。哈密​​顿原理用于通过计算应变和动能以及外部功来推导运动控制方程。运动偏微分方程的求解过程是使用伽辽金技术开发的简单边界条件。通过与以前的有效参考文献进行全面比较，可以证明这项工作的准确性和真实性是合理的。提出了一项大型参数研究，以显示重要参数的影响，例如无量纲几何参数、孔隙率系数、角速度、不均匀指数和补丁特征对结构的振型、固有频率和临界速度的影响。