Active vibration control of rotating laminated composite truncated conical shells through magnetostrictive layers based
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(2020) 42:304
TECHNICAL PAPER
Active vibration control of rotating laminated composite truncated conical shells through magnetostrictive layers based on first‑order shear deformation theory Shahin Mohammadrezazadeh1 · Ali Asghar Jafari1 Received: 3 November 2018 / Accepted: 20 April 2020 © The Brazilian Society of Mechanical Sciences and Engineering 2020
Abstract In this paper, for the first time active vibration control of rotating laminated composite truncated conical shells containing magnetostrictive layers by employing first-order shear deformation theory is investigated. The active vibration control task is done through magnetostrictive layers employing velocity feedback control law. The effects of initial hoop tension and centrifugal and Coriolis forces are considered in extraction of the partial differential equations through Hamilton principle. The ordinary differential equations are derived by employing modified Galerkin method. This study agrees with the mentioned results of the literature. Finally, the effects of several parameters on the vibration suppression are investigated. Keywords Rotating laminated conical shell · Modified Galerkin method · First-order shear deformation theory · Magnetostrictive layers · Active vibration control
1 Introduction Undesirable vibration could cause bad effects on structural systems such as fatigue, noise and even severe damage. Therefore, one of the design parts of the modern structures should be vibration control. In this way, active vibration control which could be done through smart materials seems to be promising choice for this purpose. Shape memory alloys, piezoelectric and magnetostrictive materials are examples for smart materials which could be used as sensors and actuators [1]. In this paper, Terfenol-D which is a magnetostrictive material is selected for active vibration control of rotating conical shells. Magnetostriction is a phenomenon which takes place in ferromagnetic materials in a way that they undergo deformation in response to the change in their magnetic state [1]. Terfenol-D has great density of energy, wide bandwidth as well as comparatively great displacement [2]. Magnetostrictive materials especially Terfenol-D can have applications in micro-positioners, active damping Technical Editor: Wallace Moreira Bessa, D.Sc.. * Shahin Mohammadrezazadeh [email protected] 1
Faculty of Mechanical Engineering, K. N. Toosi University of Technology, Tehran, Iran
systems, fluid injectors as well as helicopter blade control systems [3]. In order to learn more about the background of using smart materials in conical structures, in the following some of the papers are introduced. Li et al. [4] have investigated active vibration control of clamped-free conical shells through laminated piezoelectric actuators. Li et al. [5] have controlled vibration of a conical shell via a diagonal piezoelectric sensor/actuator pair based on optimal approach. Shah and Ray [6] have presented the active vibration control responses of thin composite laminated conica
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