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首页> 外文期刊>Applied Mathematical Modelling >Thermal vibration analysis of functionally graded shallow spherical caps by introducing a decoupling analytical approach
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Thermal vibration analysis of functionally graded shallow spherical caps by introducing a decoupling analytical approach

机译：引入解耦分析方法的功能梯度浅球形盖热振动分析

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摘要

Due to many applications of spherical shells on a circular planform such as the nose of the plane and spacecraft and caps of pressurized cylindrical tanks, in this article, free vibration analysis of a thin functionally graded shallow spherical cap under a thermal load is considered. A decoupling technique is employed to analytically solve the equations of motion. Introducing some new auxiliary and potential functions as well as using the separation method of variables, the governing equations of the vibrated functionally graded shallow spherical cap were exactly solved. The superiority of the relations is validated by some comparative studies for various types of boundary conditions. Also, thermal buckling phenomenon is considered. Using new different material models, efficiency of the functionally graded materials is investigated when the shell is subjected to a temperature gradient. The effects of various parameters such as radius of curvature, material grading index and thermal gradient are discussed.
机译：由于球形壳体在圆形平面结构上的许多应用，例如飞机的机头和航天器以及加压圆柱形油箱的盖，在本文中，考虑了在热载荷下对功能梯度薄的薄球形盖进行自由振动分析。采用解耦技术来解析运动方程。引入一些新的辅助函数和势函数，以及使用变量的分离方法，精确地求解了功能梯度振动球形浅盖的控制方程。这种关系的优越性已通过各种边界条件的比较研究得到了验证。另外，考虑了热屈曲现象。使用新的不同材料模型，可以对壳承受温度梯度的情况下功能分级材料的效率进行研究。讨论了曲率半径，材料分级指数和热梯度等各种参数的影响。

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