An Analytical Investigation on the Nonlinear Vibration Behavior of a New Hybrid Laminated Nanocomposite Cylindrical Shell Resting on the Three-Parameter Nonlinear Substrate

An Analytical Investigation on the Nonlinear Vibration Behavior of a New Hybrid Laminated Nanocomposite Cylindrical Shell Resting on the Three-Parameter Nonlinear Substrate
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三参数非线性基底上新型混合层状纳米复合材料圆柱壳非线性振动行为的分析研究

DOI:
10.1007/s42417-022-00829-w
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发表时间:
2023-01
期刊:
Journal of Vibration Engineering & Technologies
影响因子:
--
通讯作者:
Nhon Liu
Nhon Liu
中科院分区:
其他
文献类型:
--
作者:
Peng Zhang;Zheng Meng;Hui Wei;Nhon Liu

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目的研究含多尺度杂化增强层合纳米复合材料圆柱壳在三参数非线性基底包围下的非线性自由振动行为。该结构的多相材料包括聚合物基体、均匀分布于各层厚度的纳米级GOPs以及具有不同取向角的宏观碳纤维。方法采用改进的Halpin-Tsai微力学方案,结合混合材料的层次扩展规律,计算各多相纳米复合材料层的有效材料性能。在此基础上,结合改进的Donnell壳理论和Hamilton原理,推导了控制方程。然后采用两步求解技术,通过Galerkins法将这些非线性方程转化为一个常微分方程,再采用多尺度技术得到结构的非线性频率。结果在各种图形结果的框架下,进行了详细的参数化分析,揭示了非线性基础参数、碳纤维取向角、碳纤维重量、碳纤维体积分数和长半径比等不同参数对多相层状纳米复合材料圆柱壳非线性振动特性的影响。结论在碳纤维材料中加入氧化石墨烯纳米填料,并在非线性衬底上嵌入氧化石墨烯纳米填料,可以显著增强多相层状纳米复合材料圆柱壳的振动性能。
PurposeThe current analytical study is devoted to examining the nonlinear free vibration behavior of the laminated nanocomposite cylindrical shells containing multi-scale hybrid reinforcements once a nonlinear three-parameter substrate surrounds the structures. The multi-phase material of the structures includes polymeric matrix, nano-scale GOPs, which are uniformly distributed through the thickness of each layer and macro-scale carbon fibers with various orientation angles.MethodsThe effective material properties of each multi-phase nanocomposite layer are calculated by implementing the modified Halpin–Tsai micromechanical scheme together with the extended rule of the mixture in a hierarchy. After that, with an incorporation of the improved Donnell’s shell theory and Hamilton’s principle, the governing equations are derived. Then by adopting a two-step solution technique, these nonlinear equations are transferred to one ordinary differential equation via Galerkins’ method, and in the next step, the nonlinear frequencies of the structure are obtained by employing the multiple scale technique.ResultsIn the framework of various graphical results, a parametric analysis is conducted in detail to reveal the influences of the different parameters such as nonlinear foundation parameters, carbon fibers’ orientation angles, GOPs’ weight, and carbon fibers’ volume fractions and length-to-radius ratios on the nonlinear vibration characteristics of the multi-phase laminated nanocomposite cylindrical shell.ConclusionsThe results declare that the addition of the GO nanofillers along with the CFs and also embedding the structure on the nonlinear substrate can significantly enhance the vibrational behavior of the multi-phase laminated nanocomposite cylindrical shell.
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发表时间: 2016-04
影响因子: 3.4
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