Forced vibration analysis of functionally graded carbon nanotube-reinforced composite plates using a numerical strategy |
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| Affiliation: | 1. Department of Mechanical Engineering, University of Guilan, P.O. Box 3756, Rasht, Iran;2. Department of Mechanical Engineering, Lahijan Branch, Islamic Azad University, P.O. Box 1616, Lahijan, Iran;1. State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083, PR China;2. Institute for Turbulence-Noise-Vibration Interaction and Control, Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 51800, PR China;1. Faculty of Mechanical Engineering, Department of Solid Mechanics, University of Kashan, Kashan, Iran;2. Department of Innovation Engineering, Università del Salento, Lecce, Italy;3. DICAM Department, School of Engineering and Architecture, University of Bologna, Bologna, Italy;1. School of Civil Engineering, The University of Queensland, St Lucia, Brisbane QLD 4072, Australia;2. Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang, Jiangsu 212013, PR China;3. School of Engineering, RMIT University, PO Box 71, Bundoora, VIC 3083, Australia |
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| Abstract: | In this paper, the nonlinear forced vibration behavior of composite plates reinforced by carbon nanotubes is investigated by a numerical approach. The reinforcement is considered to be functionally graded (FG) in the thickness direction according to a micromechanical model. The first-order shear deformation theory and von Kármán-type kinematic relations are employed. The governing equations and the corresponding boundary conditions are derived with the use of Hamilton's principle. The generalized differential quadrature (GDQ) method is utilized to achieve a discretized set of nonlinear governing equations. A Galerkin-based scheme is then applied to obtain a time-varying set of ordinary differential equations of Duffing-type. Subsequently, a time periodic discretization is done and the frequency response of plates is determined via the pseudo-arc length continuation method. Selected numerical results are given for the effects of different parameters on the nonlinear forced vibration characteristics of uniformly distributed carbon nanotube- and FG carbon nanotube-reinforced composite plates. It is found that with the increase of CNT volume fraction, the flexural stiffness of plate increases; and hence its natural frequency gets larger. Moreover, it is observed that the distribution type of CNTs significantly affects the vibrational behavior of plate. The results also show that when the mid-plane of plate is CNT-rich, the natural frequency takes its minimum value and the hardening-type response of plate is intensified. |
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| Keywords: | Forced vibration Carbon nanotube FG Composite plate First-order shear deformation theory Numerical strategy |
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