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首页> 外文期刊>International journal of structural stability and dynamics >Effect of Porosity on Flexural Vibration of CNT-Reinforced Cylindrical Shells in Thermal Environment Using GDQM
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Effect of Porosity on Flexural Vibration of CNT-Reinforced Cylindrical Shells in Thermal Environment Using GDQM

机译：孔隙率对使用GDQM热环境中CNT加固圆柱壳弯曲振动的影响

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摘要

This article investigates the flexural vibration of temperature-dependent and carbon nanotube-reinforced (CNTR) cylindrical shells made of functionally graded (FG) porous materials under various kinds of thermal loadings. The equivalent material properties of the cylindrical shell of concern are estimated using the rule of mixture. Both the cases of uniform distribution (UD) and FG distribution patterns of reinforcements are considered. Thermo-mechanical properties of the cylindrical shell are supposed to vary through the thickness and are estimated using the modified power-law rule, by which the porosities with even and uneven types are approximated. As the porosities occur inside the FG materials during the manufacturing process, it is necessary to consider their impact on the vibration behavior of shells. The present study is featured by consideration of different types of porosities in various CNT reinforcements under various boundary conditions in a single model. The governing equations and boundary conditions are developed using Hamilton's principle and solved by the generalized differential quadrature method. The accuracy of the present results is verified by comparison with existing ones and those by Navier's method. The results show that the length to radius ratio and temperature, as well as CNT reinforcement, porosity, thermal loading, and boundary conditions, play an important role on the natural frequency of the cylindrical shell of concern in thermal environment.
机译：本文研究了温度依赖性和碳纳米管增强（CNTR）圆柱形壳体的弯曲振动，在各种热载体下由功能梯度（FG）多孔材料制成。使用混合物的规则估计关注的圆柱形壳的等效材料特性。考虑了均匀分布（UD）和FG分布模式的均匀分布的病例。圆柱形壳体的热机械性能应该通过厚度而变化，并且使用改进的动力法则估计，通过该规则，近似的孔隙率和不均匀的类型近似。随着孔隙座在制造过程中发生孔隙率，有必要考虑它们对壳体振动行为的影响。本研究通过在单一模型中的各种边界条件下考虑各种CNT增强型不同类型的孔隙率。控制方程和边界条件是使用Hamilton的原理开发的，并通过广义差分正交方法解决。通过与Navier方法的现有方法与现有结果进行比较来验证当前结果的准确性。结果表明，半径比和温度的长度以及CNT加固，孔隙率，热负荷和边界条件，对热环境令人担忧的圆柱形外壳的自然频率发挥着重要作用。

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