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Nonlinear dynamics of FGM circular cylindrical shell with clamped-clamped edges

机译：夹边FGM圆柱壳的非线性动力学

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摘要

An analysis on the nonlinear dynamics of a clamped-clamped FGM circular cylindrical shell subjected to an external excitation and uniform temperature change is presented in this paper. Material properties of the constituents are assumed to be temperature-independent and the effective properties of FGM cylindrical shell are graded in thickness direction according to a simple power law function in terms of the volume fractions. Based on the first-order shear deformation shell theory and von Karman type nonlinear strain-displacement relationship, the nonlinear governing equations of motion are derived by using Hamilton's principle. Galerkin's method is then utilized to discretize the governing partial equations to a two-degree-of-freedom nonlinear system including the quadratic and cubic nonlinear terms under combined external excitations. Numerical results including the bifurcations, waveform, phase plots and Poincare maps are presented for clamped-clamped FGM cylindrical shells showing the influences of material gradient index, the thickness and the external loading on the nonlinear dynamics.
机译：提出了一种在外部激励和温度均匀变化的作用下，FGM圆柱壳的非线性动力学分析。假定成分的材料特性与温度无关，并且根据简单的幂律函数，就体积分数而言，FGM圆柱壳的有效特性沿厚度方向分级。基于一阶剪切变形壳理论和von Karman型非线性应变-位移关系，利用汉密尔顿原理推导了非线性控制方程。然后，利用Galerkin的方法将控制方程组离散化为两自由度非线性系统，该系统包括组合外部激励下的二次和三次非线性项。给出了夹固FGM圆柱壳的分叉，波形，相图和Poincare映射的数值结果，显示了材料梯度指数，厚度和外部载荷对非线性动力学的影响。

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  • 来源
    《Composite Structures》 |2012年第3期|p.1075-1086|共12页
  • 作者

    W. Zhang; Y.X. Hao; J. Yang;

  • 作者单位

    College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, PR China;

    College of Mechanical Engineering, Beijing Information Science and Technology University, Beijing 100192, PR China;

    School of Aerospace, Mechanical and Manufacturing Engineering, RMTT University, PO Box 71, Bundoora, VIC 3083, Australia;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    circular cylindrical shell; functionally graded materials; clamped; nonlinear dynamics;

    机译：圆柱壳功能分级材料;夹紧非线性动力学;

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