热环境下纤维增强复合材料圆柱壳非线性振动分析与验证  

Analysis and verification of nonlinear vibrations of fiber-reinforced composite cylindrical shells in thermal environment

作　　者：李晖[1,2] 吕海宇 邹泽煜 罗忠 马辉[1,2] 韩清凯 LI Hui;LYU Haiyu;ZOU Zeyu;LUO Zhong;MA Hui;HAN Qingkai(School of Mechanical Engineering&Automation,Northeastern University,Shenyang 110819,China;Key Laboratory of Vibration and Control of Aero-Propulsion Systems(Ministry of Education of China),Northeastern University,Shenyang 110819,China)

机构地区：[1]东北大学机械工程与自动化学院,沈阳110819 [2]东北大学航空动力装备振动及控制教育部重点实验室,沈阳110819

出　　处：《航空学报》2022年第9期693-703,共11页Acta Aeronautica et Astronautica Sinica

基　　金：国家自然科学基金(52175079);特种环境复合材料技术国家级重点实验室基金(6142905192512);中央高校基本科研业务费专项资金(N2103026);中国博士后科学基金(2020M680990);航空发动机及燃气轮机重大专项基础研究项目(J2019-I-0008-0008)。

摘　　要：对热环境下纤维增强复合材料圆柱壳的非线性振动开展了理论分析与测试验证研究。首先,基于应变能密度函数法和复模量法,结合多项式拟合技术提出了考虑振幅和温度依赖性的该类型复合材料非线性拉伸模量、剪切模量和损耗因子的显式表达式。接着,结合Love壳体理论、能量法和von-Kármán非线性应变-位移关系建立了结构的解析模型,并推导了其在均匀热环境中的振动微分方程,实现了非线性共振频率、阻尼比和振动响应的求解。最后,利用自行搭建的热振实验系统对CF120碳纤维/环氧圆柱壳试件开展了测试,验证了提出的模型及其分析结果的正确性。Theoretical analysis and experimental verification of the nonlinear vibration characteristics of the fiber reinforced composite cylindrical shell in the thermal environment are conducted in this paper.Firstly,based on the strain energy density function method,complex modulus principle and polynomial fitting technique,explicit expressions of the nonlinear tensile moduli,shear moduli and loss factors of this type of composite material are proposed with consideration of amplitude and temperature dependence.Then,on the basis of the Love’s shell theory,energy method and von-Kármán nonlinear straindisplacement relationship,an analytical model of the structure is established,and differential equations for vibration of the structure in the uniform thermal environment are derived,so as to solve the nonlinear resonant frequencies,damping ratios,and resonant responses of the structure.Finally,specimens of the CF120carbon/epoxy composite cylindrical shell were tested based on a self-built thermal vibration experimental system,verifying the correctness of the model proposed as well as its analysis results.

关 键 词：非线性振动 纤维增强复合材料 圆柱壳 热环境 参数辨识 

分 类 号：V257[一般工业技术—材料科学与工程] O313.4[航空宇航科学与技术—航空宇航制造工程]