正交各向异性层合板壳耦合结构的能量传递特性  

Energy transfer characteristics of orthotropic laminated plate-shell coupled structure

作　　者：李翱 陈海波[1] 钟强 王幸 LI Ao;CHEN Haibo;ZHONG Qiang;WANG Xing(CAS Key Lab for 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》2022年第5期9-19,共11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：基于薄壳和层合板理论推导了正交各向异性层合板壳平衡微分方程,应用波动刚度矩阵方法求解正交各向异性层合板壳耦合子系统间的能量传递系数,结合模态密度给出耦合处的耦合损耗因子(coupling loss factor, CLF)。通过与已有研究对比环向开敞层合柱壳的频散曲线,验证理论推导的正确性;对层合板和柱壳的模态密度进行对比分析,在环频率以后,随着频率的增大两者趋于一致;分别入射弯曲波、剪切波和纵波,计算表明耦合结构的能量传递系数满足保守耦合系统的能量守恒,满足互易性,且能量总透射系数对铺设方式的敏感度较低;讨论了耦合角度和激励频率对CLF的影响,发现CLF的总和不受耦合角度影响,且随频率增大而逐渐衰减。Here, based on the theory of thin shell and laminated plate, equilibrium differential equations of orthotropic laminated plate-shell coupled structure were derived. Energy transfer coefficients among orthotropic laminated plate-shell coupled subsystems were solved by using the wave stiffness matrix method. Combined with the modal density, coupling loss factors(CLFs) at coupling places were deduced. By comparing the dispersion curve of annular open laminated cylindrical shell obtained using the method mentioned above with existing studies, the correctness of the theoretical derivation was verified. Modal densities of laminated plate and cylindrical shell were contrastively analyzed. It was shown that after ring frequency, both of them tend to be consistent with increase in frequency. Flexural wave, shear wave and longitudinal wave were incident, respectively. Calculation showed that energy transfer coefficients of the coupled structure satisfy energy conservation and reciprocity of conservative coupled systems, and the total energy transfer coefficient is less sensitive to laying modes;the sum of CLFs is not affected by coupling angle and gradually attenuates with increase in frequency.

关 键 词：正交各向异性板壳 能量传递系数 频散曲线 模态密度 耦合损耗因子(CLF) 

分 类 号：O32[理学—一般力学与力学基础]