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Dynamic stability analysis of carbon nanotube-reinforced functionally graded cylindrical panels using the element-free kp-Ritz method

机译：无元素kp-Ritz方法分析碳纳米管增强功能梯度圆柱板的动态稳定性

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摘要

In this paper, a first-known dynamic stability analysis of carbon nanotube-reinforced functionally graded (CNTR-FG) cylindrical panels under static and periodic axial force by using the mesh-free kp-Ritz method is presented. The cylindrical panels are reinforced by single-walled carbon nanotubes (SWCNTs) with different types of distributions, i.e. uniform and three kinds of functionally graded distributions of carbon nanotubes along thickness direction of the panels. Eshelby-Mori-Tanaka approach is employed to estimate effective material properties of the resulting nanocomposite panels. By applying the Ritz minimization procedure to the energy expressions, a system of Mathieu-Hill equations is formulated. Then the principal instability regions are analyzed through Bolotin's first approximation. Detailed parametric studies have been carried out to reveal the influences of volume fraction of carbon nanotubes, edge-to-radius ratio and radius-to-thickness ratio. In addition, effects of different boundary conditions and types of distributions of carbon nanotubes are examined in detail.
机译：本文采用无网格kp-Ritz方法，对碳纳米管增强功能梯度（CNTR-FG）圆柱板在静态和周期性轴向力下的动态稳定性进行了首次已知的分析。圆柱形面板由具有不同类型分布的单壁碳纳米管（SWCNT）增强，即沿面板厚度方向均匀分布和三种功能梯度分布的碳纳米管。 Eshelby-Mori-Tanaka方法用于估算所得纳米复合材料面板的有效材料性能。通过将Ritz最小化过程应用于能量表达式，制定了Mathieu-Hill方程组。然后通过Bolotin的一阶近似分析主要不稳定区域。已经进行了详细的参数研究，以揭示碳纳米管的体积分数，边缘半径比和半径厚度比的影响。另外，详细研究了不同边界条件和碳纳米管分布类型的影响。

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  • 来源
    《Composite Structures》 |2014年第7期|328-338|共11页
  • 作者

    Z.X. Lei; L.W. Zhang; K.M. Liew; J.L. Yu;

  • 作者单位

    CAS Key Laboratory of Mechanical Behavior and Design of Materials, University of Science and Technology of China, PR China,Department of Civil and Architectural Engineering, City University of Hong Kong, Kowloon, Hong Kong;

    College of Information Technology, Shanghai Ocean University, 999 Huchenghuan Road, Shanghai 201306, PR China;

    Department of Civil and Architectural Engineering, City University of Hong Kong, Kowloon, Hong Kong,City University of Hong Kong Shenzhen Research Institute Building, Shenzhen Hi-Tech Industrial Park, Nanshan District, Shenzhen, PR China;

    CAS Key Laboratory of Mechanical Behavior and Design of Materials, University of Science and Technology of China, PR China;

  • 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

    Functionally graded materials; kp-Ritz method; Panels; Dynamic stability;

    机译：功能分级材料;kp-Ritz方法;面板;动态稳定性;

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