热环境下硬涂层薄壁圆柱壳自由振动的半解析建模及振动特性分析  

Semi-analytical modeling and vibration characteristic analysis of free vibration of hard-coated thin-walled cylindrical shells in thermal environment

作　　者：郑豪杰 杨建[1] 刘鑫 邓宇 张月[1] ZHENG Haojie;YANG Jian;LIU Xin;DENG Yu;ZHANG Yue(School of Mechanical Engineering&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,辽宁鞍山114051

出　　处：《振动与冲击》2025年第8期72-79,112,共9页Journal of Vibration and Shock

基　　金：国家自然科学基金青年项目(52305111);辽宁省科技厅博士科研启动基金项目(2022-BS-284,2024-BS-220);辽宁省教育厅青年项目(LJKQZ20222341);辽宁科技大学优秀青年科技人才项目(2023YQ04);辽宁省高校基本科研业务费专项资金资助(LJ212410146066)。

摘　　要：借助有限元软件模拟真实热场情况下圆柱壳在厚度方向的温度分布,再将其与广义Jacobi多项式与Rayleigh-Ritz方法相结合,建立了在稳态热场环境下的硬涂层薄壁圆柱壳复合结构的自由振动半解析模型。以涂敷NiCoCrAlY硬涂层材料的薄壁圆柱壳为例,对其在稳态热场环境下的振动特性进行分析。在不同温度条件下(20℃、50℃、100℃、150℃、200℃),通过理论计算与有限元结果的对比,验证了该半解析模型的正确性与有效性。同时,探讨了截断数N、不同温度及基体厚度对硬涂层薄壁圆柱壳复合结构振动特性的作用规律。结果表明:当截断数N达到7时,可以获得更为精确的振动分析结果;模态损耗因子随着周向波数的增加而增大,尤其在高温环境下更为显著,而固有频率则随温度升高而降低,且降低速度随着温度进一步升高而加快;随着基体厚度的增加,模态损耗因子呈现下降趋势,且温度越高下降幅度越大。Finite element software was utilized in this paper to simulate the temperature distribution in the thickness direction of a cylindrical shell under real thermal field conditions.Combining this with the generalized Jacobi polynomials and the Rayleigh-Ritz method,a semi-analytical model for the free vibration of hard-coated thin-walled cylindrical composite structures in a steady-state thermal environment was established.Using a thin-walled cylindrical shell coated with NiCoCrAlY hard coatings as an example,the vibration characteristics under a steady-state thermal field were analyzed.The validity and accuracy of the semi-analytical model were verified by comparing theoretical calculations with finite element results under different temperature conditions(20℃,50℃,100℃,150℃,200℃).Additionally,the effects of truncation number N,different temperatures,and substrate thickness on the vibration characteristics of hard-coated thin-walled cylindrical composite structures were discussed.The results indicate that when the truncation number N reaches 7,more accurate vibration analysis results can be obtained.The modal loss factor increases with the circumferential wavenumber,especially under high-temperature conditions.The natural frequency decreases as the temperature rises,with the rate of decrease accelerating at higher temperatures.As the substrate thickness increases,the modal loss factor shows a decreasing trend,with the extent of decrease being more significant at higher temperatures.

关 键 词：圆柱壳 硬涂层 稳态热场 半解析 

分 类 号：TH113.1[机械工程—机械设计及理论] TH535