温度场下功能梯度圆锥壳-环板振动特性分析  

Vibration characteristics of a functionally graded material conical shell-annular plate combined tructure under a temperature field

作　　者：左朋 石先杰[1] ZUO Peng;SHI Xianjie(Institute of Systems Engineering,China Academy of Engineering Physics,Mianyang 621999,China;Department of Modern Me-chanics,University of Science and Technology of China,Hefei 230026,China)

机构地区：[1]中国工程物理研究院总体工程研究所,四川绵阳621999 [2]中国科学技术大学近代力学系,安徽合肥230026

出　　处：《哈尔滨工程大学学报》2024年第4期709-716,共8页Journal of Harbin Engineering University

基　　金：国家自然科学基金项目(51975547,52375136);中国工程物理研究院院长基金项目(YZJJLX2018008).

摘　　要：针对功能梯度圆锥壳-环板组合结构振动问题,本文采用一阶剪切变形理论和Rayleigh-Ritz法分析了温度场下组合结构的振动特性。组合结构位移变量采用谱几何法来表征,考虑材料参数与温度相关并引入人工边界弹簧建立了组合结构振动特性分析模型。数值算例中,通过将文中求解结果与文献解和有限元法结果进行对比验证了模型的正确性,进而分析尺寸、材料、温度和连接位置等参数对结构振动特性的影响。研究结果表明:组合结构基频随厚度增加而增加,随着幂律指数、半顶角和温度场参数增加而降低,随环板内径和连接位置变化会呈现非单一变化趋势。Herein,the vibration characteristics of a functionally graded material conical shell-annular plate com-bined tructure under a temperature field are analyzed on the basis of the first-order shear deformation theory and Rayleigh-Ritz method.The displacement variables of the combined structure are represented using the spectro-geometric method,and a vibration analysis model considering temperature-related material parameters is estab-lished.The boundary conditions are simulated by introducing artificial boundary springs.In the numerical exam-ples,the accuracy of the vibration analysis model is verified by comparing it with literature solutions and finite ele-ment solutions.The effects of parameters such as size,material,temperature and connection position on the vibra-tion characteristics of the combined structure are then analyzed.The results show that the fundamental frequency of the combined structure increases with the increase in thickness and decreases with the increase in power law index,semiapex angle,and temperature field parameters.It also presents a nonsingle variation trend as the inner diameter and connection position of the annular plate change.

关 键 词：谱几何法 温度场 功能梯度结构 圆锥壳-环板组合结构 自由振动 一阶剪切变形理论 边界弹簧 结构基频 

分 类 号：TH212[机械工程—机械制造及自动化]