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首页> 外文期刊>International journal of mechanics and materials in design >Nonlinear thermal vibration of carbon nanotube polymer composite elliptical cylindrical shells
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Nonlinear thermal vibration of carbon nanotube polymer composite elliptical cylindrical shells

机译：碳纳米管聚合物复合椭圆形圆柱壳的非线性热振动

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This paper investigated the nonlinear vibration and dynamic response of the carbon nanotube polymer composite elliptical cylindrical shells on elastic foundations in thermal environment. The material properties of the nanocomposite elliptical cylindrical shells are assumed to depend on temperature and graded in the thickness direction according to various linear functions. The shell is subjected to the combination of the uniformly distributed transverse load in harmonic form and the uniform temperature rise. The motion and geometrical compatibility equations are derived based on the Reddy's higher order shear deformation shell theory. The natural frequencies and the deflection amplitude-time curves of the shell are determined by using the Galerkin method and fourth-order Runge-Kutta method. The numerical results show not only the positive influences of carbon nanotube volume fraction and elastic foundations but also the negative influences of initial imperfection and temperature increment on the nonlinear vibration and dynamic response of the carbon nanotube polymer composite elliptical cylindrical shells. The reliability of the present results is verified by comparing with other publications.
机译：本文研究了热环境中弹性基础上碳纳米管聚合物复合椭圆形壳体的非线性振动和动力响应。假设纳米复合椭圆形圆柱形壳体的材料特性取决于温度并根据各种线性函数在厚度方向上分级。壳体经受谐振形式均匀分布的横向负载的组合，均匀的温度升高。基于Reddy的高阶剪切变形壳理论导出运动和几何兼容性方程。通过使用Galerkin方法和第四阶runge-Kutta方法确定外壳的自然频率和偏转幅度曲线。数值结果不仅显示了碳纳米管体积分数和弹性基础的正面影响，而且表明初始缺陷和温度增量对碳纳米管聚合物复合椭圆形壳体的非线性振动和动力响应的负面影响。通过与其他出版物进行比较来验证当前结果的可靠性。

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