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弹性边界功能梯度石墨烯增强薄壁圆柱壳的振动特性

Vibration characteristics of functionally graded graphene-reinforced thin-walled cylindrical shells with elastic boundary conditions
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摘要 基于一阶剪切变形理论、Halpin-Tsai微观力学模型和Rayleigh-Ritz法分析FG-GPLRC圆柱壳振动特性。为满足复杂的使役环境,引入人工弹簧技术,分析GPLs质量分数、分布模式和层数等参数对壳体结构振动特性的影响,探究弹性边界条件下周向波数、轴向半波数和固有频率之间的规律。研究结果表明,GPLs作为增强体可以显著提高基体的力学性能;分布模式对薄壁圆柱壳的固有频率有重要影响,GPL-X分布模式的固有频率最高;固有频率随层数的增加变化趋势减小。 Based on the first-order shear deformation theory,the Halpin-Tsai micromechanical model and the Rayleigh-Ritz method,the vibration characteristics of FG-GPLRC cylindrical shells are analyzed.To meet the complex service environment,artificial spring technology is introduced to analyze the effects of parameters such as mass fraction,distribution pattern and number of layers of GPLs on the vibration characteristics of the shell structure,and to investigate the laws between circumferential wave number,axial half-wave number and natural frequency under elastic boundary conditions.The results show that GPLs as reinforcement can significantly improve the mechanical properties of the substrate,and the distribution mode has an important influence on the natural frequency of thin-walled cylindrical shells,with the GPL-X distribution mode having the highest natural frequency;the change trend of natural frequency decreases with the increase of the number of layers.
作者 张颖 王宇 李昊 菅泽 徐自强 ZHANG Ying;WANG Yu;LI Hao;JIAN Ze;XU Ziqiang(School of Mechanical Engineering and Automation,University of Science and Technology Liaoning,Anshan 114051,China)
出处 《辽宁科技大学学报》 CAS 2023年第5期365-371,384,共8页 Journal of University of Science and Technology Liaoning
基金 国家自然科学基金资助项目(51775257) 辽宁省教育厅项目(LJKMZ20220637)。
关键词 薄壁圆柱壳 石墨烯增强 弹性边界 Halpin-Tsai微观力学模型 thin-walled cylindrical shell graphene-reinforced elastic boundary Halpin-Tsai micromechanical model
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