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首页> 外文期刊>International journal of mechanics and materials in design >Parametric instability of functionally graded carbon nanotube-reinforced hybrid composite plates in thermal environments
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Parametric instability of functionally graded carbon nanotube-reinforced hybrid composite plates in thermal environments

机译：在热环境中功能梯度碳纳米管增强混合材料板的参数稳定性

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摘要

This paper studies the parametric instability of hybrid nanocomposite plates under an arbitrary periodic load in thermal environments. The hybrid nanocomposite plate is a three-layer board. It has metal layers on both surfaces and one core reinforced with functionally graded (FG) carbon nanotubes (CNTs). The Galerkin method with a reduced eigenfunction transformation is applied to establish the governing equations of motion. According to the Bolotin method, a set of Mathieu-type differential equations is formed to determine dynamic instability regions and dynamic instability index (DII). The in-plane periodic stress is taken to be a combination of pulsating axial and bending stresses in the example problems. The effects of the layer thickness ratio, CNTs volume fraction, CNTs distribution type, temperature, bending stress, static and dynamic load on the dynamic instability of hybrid nanocomposite plates are investigated and discussed.
机译：本文研究了热环境中任意周期性负荷下杂化纳米复合板的参数不稳定性。混合纳米复合板是三层板。它在两个表面上具有金属层和用功能梯度（FG）碳纳米管（CNT）加强的一个芯。应用具有降低的特征函数变换的Galerkin方法来建立运动的控制方程。根据Bolotin方法，形成一组Mathieu型微分方程以确定动态不稳定区域和动态不稳定性索引（DII）。在示例性问题中，面内周期应力被认为是脉动轴向和弯曲应力的组合。研究了层厚度，CNTS体积分数，CNTs分布型，CNT分布，温度，弯曲应力，静态和动态负荷对混合纳米复合材料的动态不稳定性的影响进行了研究。

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