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首页> 外文期刊>Aerospace science and technology >Vibration analysis of functionally graded plates using the eight-unknown higher order shear deformation theory in thermal environments
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Vibration analysis of functionally graded plates using the eight-unknown higher order shear deformation theory in thermal environments

机译：在热环境中使用八阶未知高阶剪切变形理论对功能梯度板进行振动分析

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This paper deals with free vibration of functionally graded material plates using eight-unknown higher order shear deformation theory in thermal environments. The theory is based on full twelve-unknown higher order shear deformation theory, simultaneously satisfies zero transverse shear stress at the top and bottom surfaces of the FG plate. Heat conduction and temperature-dependent material properties are both taken into account. The temperature field considered is assumed to be a uniform distribution over the plate surface and varied in the thickness direction only. Material properties are assumed to be temperature-dependent, and graded in the thickness direction according to a simple power law distribution in terms of the volume power laws of the constituents. Equations of motion are derived from Hamilton's principle. The accuracy of present analytical solution is confirmed by comparing the present results with those available in existing literature. The effects of the temperature field, volume fraction index of functionally graded material, side-to-thickness ratio on free vibration responses of the functionally graded plates are investigated. (C) 2018 Elsevier Masson SAS. All rights reserved.
机译：本文使用八种未知的高阶剪切变形理论在热环境中处理功能梯度材料板的自由振动。该理论基于完整的十二未知高阶剪切变形理论，同时在FG板的顶面和底面满足零横向剪应力。导热和温度相关的材料特性都被考虑在内。假定所考虑的温度场是板表面上的均匀分布，并且仅在厚度方向上变化。假定材料属性与温度有关，并且根据成分的体积幂定律，根据简单幂定律分布在厚度方向上分级。运动方程式是从汉密尔顿原理导出的。通过将当前结果与现有文献中提供的结果进行比较，可以确定本分析溶液的准确性。研究了温度场，功能梯度材料的体积分数指数，边长比对功能梯度板自由振动响应的影响。 （C）2018 Elsevier Masson SAS。版权所有。

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