Nonlinear vibration of nanotube-reinforced composite plates in thermal environments |
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| Authors: | Zhen-Xin Wang Hui-Shen Shen |
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| Affiliation: | 1. School of Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200030, People’s Republic of China;2. State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200030, People’s Republic of China;1. Department of Mechanical Engineering, Faculty of Engineering, University of Qom, Qom, Iran;2. Faculty of Engineering, Shahrekord University, Shahrekord, Iran;1. School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW 2052, Australia;2. Université Paris 13-CNRS, LSPM, UPR 3407, Villetaneuse F-93430, France;3. Tech Mahindra Ltd., Electronic City, Bangalore 560100, India;1. Department of Civil and Architectural Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong;2. Department of Mechanical Engineering, Bu-Ali Sina University, Hamedan, Iran;3. School of Naval Architecture & Civil Engineering, Zhejiang Ocean University, Zhoushan 316000, China;4. School of Civil Engineering, The University of Queensland, St. Lucia, Brisbane, QLD 4072, Australia |
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| Abstract: | This paper deals with the large amplitude vibration of nanocomposite plates reinforced by single-walled carbon nanotubes (SWCNTs) resting on an elastic foundation in thermal environments. The SWCNTs are assumed aligned, straight and a uniform layout. Two kinds of carbon nanotube-reinforced composite (CNTRC) plates, namely, uniformly distributed (UD) and functionally graded (FG) reinforcements, are considered. The material properties of FG-CNTRC plates are assumed to be graded in the thickness direction, and are estimated through a micromechanical model. The motion equations are based on a higher-order shear deformation plate theory that includes plate-foundation interaction. The thermal effects are also included and the material properties of CNTRCs are assumed to be temperature-dependent. The equations of motion are solved by an improved perturbation technique to determine nonlinear frequencies of CNTRC plates. Numerical results reveal that the natural frequencies as well as the nonlinear to linear frequency ratios are increased by increasing the CNT volume fraction. The results also show that the natural frequencies are reduced but the nonlinear to linear frequency ratios are increased by increasing the temperature rise or by decreasing the foundation stiffness. The results confirm that a functionally graded reinforcement has a significant effect on the nonlinear vibration characteristics of CNTRC plates. |
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