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首页> 外文期刊>Composite Structures >Three-dimensional free vibration analysis of functionally graded cylindrical panels with cut-out using Chebyshev-Ritz method
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Three-dimensional free vibration analysis of functionally graded cylindrical panels with cut-out using Chebyshev-Ritz method

机译：Chebyshev-Ritz方法对带切口的功能梯度圆柱板的三维自由振动分析

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摘要

The free vibration analysis of functionally graded (FG) cylindrical panels with a cut-out and under thermal environment is studied using the three-dimensional Chebyshev-Ritz method. The material properties are assumed to be temperature-dependent and graded in the thickness direction. The formulation is based on the elasticity theory, which includes the effects of initial thermal stresses induced by the thermal environment. Chebyshev polynomials in conjunction with suitable boundary functions are used as admissible functions of the Ritz method. The convergence behavior of the method is demonstrated and to validate the results, comparisons are made with the available solutions for isotropic homogeneous and FG curved panels without cut-out. In addition, the solution for homogeneous panels with cut-out are compared with those obtained via the commercial finite element package 'ABAQ.US'. Then, the effects of volume fraction index, different types of temperature distributions through the panel thickness, dimensions of the cut-out and the geometrical parameters of the panels on their free vibration behaviors are studied.
机译：使用三维Chebyshev-Ritz方法研究了带有切口并处于热环境下的功能梯度（FG）圆柱形面板的自由振动分析。假定材料特性与温度有关，并在厚度方向上分级。该公式基于弹性理论，其中包括由热环境引起的初始热应力的影响。 Chebyshev多项式与适当的边界函数结合在一起用作Ritz方法的允许函数。证明了该方法的收敛性，并为验证结果，将其与各向同性均质和FG弯曲面板（不带切口）的可用解决方案进行了比较。此外，将带有缺口的均质面板的解决方案与通过商业有限元软件包“ ABAQ.US”获得的解决方案进行了比较。然后，研究了体积分数指数，不同类型的温度分布（通过面板厚度），切口的尺寸以及面板的几何参数对其自由振动行为的影响。

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