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Characteristics of nonlinear vibration of nanocomposite cylindrical shells with piezoelectric actuators under thermo-mechanical loads

机译:机械力作用下带压电致动器的纳米复合圆柱壳的非线性振动特性

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The paper presents an investigation of electro-thermo-mechanical vibration of functionally graded carbon nanotube reinforced composite (FG-CNTRC) cylindrical shells surrounded by an elastic medium by an analytical approach. The uniform and functionally graded CNTs are used to reinforce through the thickness of the shell. Based on geometrical nonlinearity in von Karman-Donnell's sense within the classical thin shell theory, the governing equations of motion are proposed. By using the Galerkin's method to solve the equations of motion, analytical solutions with three approximate functions of deflection are given to analyze thermal vibration of the piezoelectric actuated FG-CNTRC shells. Piezoelectric layers are bonded onto the outer and inner surfaces of the cylindrical shell to act as the actuators, respectively. The Dormand/Prince Runge-Kutta pairs are used as a semi-analytical approach to solve differential equations of the problem. The fundamental frequencies, relation of frequency ratios amplitudes and responses of vibration are researched. Furthermore, the effects of CNT volume fraction, piezoelectric layers, thermal environment, distribution type of the reinforcement, geometrical parameters and elastic foundation are analyzed. It is expected that the obtained results can be used as benchmark solutions for an analytical approach to serve in further research as well as in industrial applications. (C) 2018 Elsevier Masson SAS. All rights reserved.
机译:通过分析方法,研究了功能梯度碳纳米管增强复合材料(FG-CNTRC)圆柱壳被弹性介质包围的电热机械振动。均匀且功能梯度的CNT用于增强外壳的厚度。在经典薄壳理论的基础上,基于冯·卡曼·唐纳尔意义上的几何非线性,提出了运动控制方程。通过使用Galerkin方法求解运动方程,给出了具有三种近似挠度函数的解析解,以分析压电驱动的FG-CNTRC壳体的热振动。压电层粘结在圆柱壳的外表面和内表面上,分别用作致动器。 Dormand / Prince Runge-Kutta对用作解决问题的微分方程的半分析方法。研究了基频,频率比幅值的关系和振动响应。此外,分析了碳纳米管的体积分数,压电层,热环境,增强材料的分布类型,几何参数和弹性基础的影响。期望将获得的结果用作分析方法的基准解决方案,以用于进一步的研究以及工业应用。 (C)2018 Elsevier Masson SAS。版权所有。

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