Free vibration analysis of a porous rotor integrated with regular patterns of circumferentially distributed functionally graded piezoelectric patches on inner and outer surfaces

Abstract

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.

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Investigation on Free Vibration of Rotating Cylindrical Shells with Variable Thickness

“…Tere are various solutions for the free vibration analysis of the RCS; for example, some scholars used Galerkin's method to analyze the free vibration characteristics of the RCS [1][2][3][4][5], and the diferential quadrature method was also used to study the traveling wave properties of the free vibration for the RCS [6][7][8][9][10][11]. In addition, Ritz method was relatively simple in calculation process and could maintain high accuracy, so it was widely used in the research of vibration characteristics of RCS.…”