梁与正交各向异性板弯曲波的传递特性研究  

A study on the elastic wave transmission characteristics of a beam and orthotropic plate system

作　　者：王文晖 钟强 胡婉璐 陈海波[1] WANG Wenhui;ZHONG Qiang;HU Wanlu;CHEN Haibo(CAS Key Laboratory of Mechanical Behavior and Design of Materials,Department of Modern Mechanics,University of Science and Technology of China,Hefei 230026,China)

机构地区：[1]中国科学技术大学近代力学系中国科学院材料力学行为与设计重点实验室,合肥230026

出　　处：《振动与冲击》2021年第4期138-147,共10页Journal of Vibration and Shock

基　　金：国家自然科学基金(11772322);中国科学院战略性先导科技专项(B类)子课题(XDB22040502)。

摘　　要：以正交各向异性板与各向同性梁耦合系统弹性波传递特性为研究对象,基于弯曲波传播的动力学分析,推导出子系统间的功率流传递系数(power flow transmission coefficient,PTC)和耦合边界处的耦合损耗因子(coupling loss factor,CLF)表达式。计算分析了内损耗因子、频率和方向角α等参数对传递系数的影响,并通过与有限元结果的对比验证了耦合模型的正确性,最后与各向同性板梁耦合结构进行了比较。模拟结果表明,当弯曲波入射时,方向角α对传递系数有明显影响,当方向角α为90°时传递系数最小。同时梁的内损耗因子对传递系数有明显影响,随着内损耗因子的增大,传递系数也越大。This research focuses on the elastic wave transmission characteristics in an orthotropic plate and isotropic beam coupling system.Based on the dynamic analysis of bending wave propagation,we deduced the power flow transmission coefficient(PTC)formulation between the subsystems and the coupling loss factor(CLF)expression at the coupling boundary.The effects of internal loss factor,frequency and direction angleαon the transmission coefficient were calculated and analyzed.The correctness of the coupled model was verified by comparison with the finite element results.Finally,the coupling structure of the isotropic plate and the beam was compared.Simulation results show that when the bending wave is incident,the direction angleαhas significant influence on the transmission coefficient.When the direction angleαis 90°,the transmission coefficient is the smallest.At the same time,the internal loss factor of the beam has significant influence on the transmission coefficient.As the internal loss factor increases,the transmission coefficient also increases.

关 键 词：正交各向异性板 板梁耦合系统 功率流传递系数(PTC) 方向角 

分 类 号：U270.1[机械工程—车辆工程]