双功能梯度碳纳米管增强复合材料旋转圆柱壳的振动分析  

Vibration analysis of rotating dual⁃functional gradient composite cylindrical shell reinforced with carbon nanotubes

作　　者：王宇[1] 徐宏达 李昊 李昌[1] WANG Yu;XU Hongda;LI Hao;LI Chang(School of Mechanical Engineering and Automation,University of Science and Technology Liaoning,Anshan 114051,China)

机构地区：[1]辽宁科技大学机械工程与自动化学院,鞍山114051

出　　处：《航空学报》2023年第13期105-118,共14页Acta Aeronautica et Astronautica Sinica

基　　金：国家自然科学基金(51775257,51775258);辽宁省教育厅科学基金(2019LNJC01,LJKMZ20220637)。

摘　　要：对3种边界条件下旋转态双功能梯度碳纳米管增强复合材料(DFG-CNTRC)圆柱壳的行波振动特性开展了研究。首先,根据建立的DFG-CNTRC圆柱壳模型,分析了以金属-陶瓷功能梯度材料为基体的5种类型碳纳米管增强材料的性能参数。其次,基于Sanders壳体理论和传递矩阵方法,考虑转速影响,推导了任一截面状态向量的常微分方程组和整体传递矩阵关系。最后,对简支-简支(S-S)、固支-固支(C-C)和固支-自由(C-F)3种典型边界条件下的动力学微分方程进行求解计算,验证了理论分析的正确性。研究表明,科氏力和离心力效应引起行波频率出现了分离现象和增大趋势,边界条件和碳纳米管体积分数对行波振动特性的影响显著,而基体材料体积分数指数对振动特性的影响较小,长度和厚度对结构振动特性影响均不同。The traveling wave vibration characteristics of a rotating Dual-Functionally Graded Carbon Nanotube Rein⁃forced Composite(DFG-CNTRC)cylindrical shell are investigated under three boundary conditions.Firstly,according to the established shell model,the performance parameters of five types of carbon nanotube reinforced materials based on the metal-ceramic functionally graded matrix are analyzed.Secondly,based on the Sanders shell theory and transfer matrix method,the ordinary differential equations and the global transfer matrix relation for any cross sec⁃tion state vector are derived considering the influence of rotational speed.Finally,the dynamic differential equations are solved for three typical boundary conditions,namely,Simply supported-Simply supported(S-S),Clamped-Simply supported(C-S)and Clamped-Free(C-F),and the correctness of the theoretical analysis is verified.The research shows that the effect of Coriolis force and centrifugal force causes the separation phenomenon and increasing trend of the traveling wave frequency,and the boundary conditions and the volume fraction of carbon nanotubes have a signifi⁃cant influence on travelling wave vibration characteristics,while the volume fraction index of the matrix material has little influence,and the length and thickness have different effects on the vibration characteristics of the shell.

关 键 词：功能梯度材料基体 碳纳米管增强材料 旋转圆柱壳 传递矩阵方法 行波振动 

分 类 号：V257[一般工业技术—材料科学与工程] V231.9[航空宇航科学与技术—航空宇航制造工程]