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 strain-displacement 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 CF120 carbon/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.
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