基于幂级数-波动法的功能梯度圆环板结构振动模型建立与特性研究  

Vibration characteristics analysis model for functionally graded annular plate structure built with power series-wave method

作　　者：何东泽 郭克凡 刘斯琪 黄世军[1,2] 李伟成 HE Dongze;GUO Kefan;LIU Siqi;HUANG Shijun;LI Weicheng(College of Mechanical Engineering,Yanshan University,Qinhuangdao 066000,China;Hebei Province Lightweight Structure Design and Preparation Technology Innovation Center,Qinhuangdao,066000,China;Shanghai Aerospace Equipment Manufacturing Co.,Ltd.,Shanghai 200245,China)

机构地区：[1]燕山大学机械工程学院,河北秦皇岛066000 [2]河北省轻质结构设计与制备工艺技术创新中心,河北秦皇岛066000 [3]上海航天设备制造总厂有限公司,上海200245

出　　处：《振动与冲击》2024年第19期223-231,共9页Journal of Vibration and Shock

基　　金：河北省自然科学基金青年科学基金项目(E2024203033)。

摘　　要：提出一种可用于计算功能梯度圆环板结构在不同边界条件下振动特性的幂级数-波动法。基于一阶剪切变形理论框架,将位移函数设置为幂级数的形式,结合波动列式构建功能梯度圆环板结构振动特性分析模型。通过与有限元计算结果进行对比,验证所建立振动特性分析模型在固有频率、自由模态以及频率响应计算的正确性和准确性。以此为基础,开展参数化分析工作,研究了不同结构参数对不同边界条件下功能梯度圆环板结构固有频率和频率响应的影响情况。结果表明,基于提出的数值计算方法建立的功能梯度圆环板结构振动特性分析模型可行有效,不同结构参数对结构固有特性及频率响应均存在不同的影响规律和效果。Here,a power series-wave method for calculating vibration characteristics of functionally graded annular plate structure under different boundary conditions was proposed.Based on the first-order shear deformation theory framework,the displacement function was set in the form of a power series,and the analysis model for vibration characteristics of a functionally graded annular plate structure was constructed combining wave formulation.Compared with the finite element calculation results,the correctness and accuracy of the constructed model in calculating natural frequencies,free modes and frequency responses were verified.Then,parametric analysis was performed to investigate effects of different structural parameters on natural frequencies and frequency responses of functionally graded annular plate structure under different boundary conditions.The results showed that the vibration characteristics analysis model for functionally graded annular plate structure built with the numerical calculation method proposed here is feasible and effective;different structural parameters have different effects on natural characteristics and frequency responses of the structure.

关 键 词：幂级数-波动法 功能梯度圆环板 固有频率 频率响应 

分 类 号：TH113.1[机械工程—机械设计及理论]