Influence of spring-mass systems on frequency behavior and critical voltage of a high-speed rotating cantilever cylindrical three-dimensional shell coupled with piezoelectric actuator

Abstract

In this article, vibrational behavior and critical voltage of a spinning cylindrical thick shell covered with piezoelectric actuator (PIAC) carrying spring-mass systems are investigated. It should be noted that, the installed sensors on the proposed systems are considered as a tip mass. 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 thick shell covered with PIAC, its equations of motion, and boundary conditions are derived by the principle of minimum total potential energy and based on a new three-dimensional refined higher-order theory (RHOST). For the first time in the present study, attached spring-mass systems have been considered in the rotating cylindrical thick shells covered with PIAC. The accuracy of the presented model is verified compared with previous studies. The novelty of the current study is consideration of the applied voltage, rotation, various temperature distributions and spring-mass systems implemented on the proposed model using the RHOST. The generalized differential quadrature method is presented to discretize the model and to approximate the governing equations. In this study the simply supported conditions have been applied to edges $\theta =\pi /2,3\pi /2$ and cantilever (clamped-free) boundary conditions have been studied in x = 0, L, respectively. The results show that, applied voltage, angular velocity, temperature changes and spring-mass systems play an important role on the critical voltage, critical angular speed, critical temperature, and natural frequency of the structure. Another significant result is that, by increasing the lumped mass and coefficient of the spring in the first frequency of the cantilever cylindrical shell, increase or decrease of the natural frequency depends on the nonlinear temperature change parameter. The results of the current study are useful suggestions for designing electromechanical systems such as hydraulic pipes with the installation of the sensors to them.