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Spectral-Tchebychev technique for the free vibration analysis of composite laminated stepped and stiffened cylindrical shells with arbitrary boundary conditions

机译：复合层压阶梯式自由振动分析的光谱 - TCHEBECHEV技术，具有任意边界条件的复合层压阶梯式和加强圆柱形壳体

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摘要

By combining the first-order shear deformation theory (FSDT) with the spectral-Tchebychev (ST) technique, including the arbitrary boundary conditions, this paper analyzes the free vibration characteristics of composite laminated stepped and stiffened cylindrical shells. Based on artificial spring technique, the boundary conditions at both ends of the structure and the coupling continuity conditions between the shell segments are simulated. Then the Hamilton's principle is applied to obtain the governing differential equations of each shell segments, the governing equations of the boundary conditions at both ends of the structure and the elastic coupling governing equations between adjacent shell segments. The displacement components of the composite laminated stepped and stiffened cylindrical shells are spectrally expanded into the finite terms of Tchebyshev polynomials, and then discretized according to Gauss-Lobatto points to obtain the matrix form characteristic equations of the structure. The frequency of free vibration of the structure and the corresponding mode shape can be obtained by solving the characteristic equation. In the numerical example, the convergence analysis of the model established by the technique in this paper is carried out, and then the frequency results of composite laminated stepped and stiffened cylindrical shells under arbitrary boundary conditions calculated in this paper are compared with the calculation results of related literature and finite element software. It is fully verified that the proposed spectral-Tchebychev technique not only has the characteristics of rapid convergence, but also can accurately analyze the free vibration behaviors of composite laminated stepped and stiffened cylindrical shells under arbitrary boundary conditions. After proving its effectiveness and accuracy, the parameter studies are finally carried out to analyze the influence of material parameters and rib geometric parameters on the free vibration behaviors of composite laminated stiffened cylindrical shells.
机译：通过将一阶剪切变形理论（FSDT）与光谱 - Tchebychev（ST）技术相结合，包括任意边界条件，本文分析了复合层压阶梯式和加强圆柱形壳体的自由振动特性。基于人造弹簧技术，模拟结构两端的边界条件和壳体段之间的耦合连续性条件。然后，汉密尔顿的原理应用于获得每个壳体段的控制微分方程，结构的两个端部的用于边界条件的控制方程以及相邻壳段之间的弹性耦合控制器。复合层叠的阶梯式和加强圆柱形壳的位移部件被光谱扩展到Tchebyshev多项式的有限术语中，然后根据高斯 - 乐洛托点离散化，以获得结构的基质形式特征方程。通过求解特性方程，可以获得结构的自由振动和相应模式形状的频率。在数值示例中，进行了本文中的技术建立的模型的收敛性分析，然后将本文计算的任意边界条件下的复合层压阶梯式和加强圆柱形壳的频率结果与计算结果进行了比较相关文献和有限元软件。完全验证了所提出的谱 - TcheboChev技术不仅具有快速收敛的特征，而且还可以在任意边界条件下准确地分析复合层压阶梯式和加强圆柱壳的自由振动行为。在进行其有效性和准确性之后，最终进行参数研究，以分析材料参数和肋骨几何参数对复合层压圆柱形壳体自由振动行为的影响。

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  • 来源
    《Composite Structures》 |2021年第9期|114193.1-114193.20|共20页
  • 作者

    Guo Chenchen; Liu Tao; Wang Qingshan; Qin Bin; Shao Wen; Wang Ailun;

  • 作者单位

    Cent South Univ Light Alloy Res Inst Changsha 410083 Peoples R China|Cent South Univ State Key Lab High Performance Complex Mfg Changsha 410083 Peoples R China;

    Cent South Univ Light Alloy Res Inst Changsha 410083 Peoples R China|Cent South Univ State Key Lab High Performance Complex Mfg Changsha 410083 Peoples R China;

    Cent South Univ State Key Lab High Performance Complex Mfg Changsha 410083 Peoples R China;

    Cent South Univ Sch Traff & Transportat Engn Key Lab Traff Safety Track Minist Educ Changsha 410075 Peoples R China|Cent South Univ Joint Int Res Lab Key Technol Rail Traff Safety Changsha 410075 Peoples R China|Cent South Univ Natl & Local Joint Engn Res Ctr Safety Technol Ra Changsha 410075 Peoples R China;

    Cent South Univ State Key Lab High Performance Complex Mfg Changsha 410083 Peoples R China;

    Cent South Univ Light Alloy Res Inst Changsha 410083 Peoples R China|Cent South Univ State Key Lab High Performance Complex Mfg Changsha 410083 Peoples R 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

    First-order shear deformation theory; Spectral-Tchebychev technique; Free vibration; Composite laminated stepped and stiffened; cylindrical shells; Arbitary boundary conditions;

    机译：一阶剪切变形理论;光谱 - Tchebochev技术;自由振动;复合层压阶梯式和加强;圆柱形壳;术后边界条件;

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