正交各向异性层合板壳耦合结构的能量传递特性

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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(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；最后讨论了耦合角度和激励频率对耦合损耗因子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。

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	李翱
	陈海波
	钟强
	王幸

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

Abstract：Based on the thin shell and laminated plate theories, the equilibrium differential equations of the orthotropic laminated plates and shells are derived. The energy transmission coefficients between the orthotropic laminated plate and shell coupled systems are solved according to the wave stiffness matrix method. Combing with the model density of states we present the formulation of the coupling loss factor (CLF) at the joint boundary. By comparing the dispersion curves of circumferentially open laminated cylindrical shells with existing studies, the correctness of the theoretical derivation is verified. The modal densities of laminated plates and cylindrical shells are compared and analyzed. After the ring frequency, the two wave modal densities close to each other as the frequency increases. When the flexural waves, shear waves, and longitudinal waves are set as the incident, ones respectively, the simulation shows that the sum of the energy transmission coefficients satisfies the energy conservation of the conservative coupling system and satisfies the reciprocity principle, and the total energy transmission coefficient is not so sensitive to the lamination schemes. Finally, the influence of the coupling angle and excitation frequency on CLFs is discussed. It is found that the sum of the CLF is not affected by the coupling angle, and gradually attenuates as the frequency increases.

Key words： The coupling structure of orthotropic laminated plate and shell energy transmission coefficients dispersion curve modal density coupling loss factor

收稿日期: 2020-11-09 出版日期: 2022-03-15

引用本文:

李翱，陈海波，钟强，王幸. 正交各向异性层合板壳耦合结构的能量传递特性[J]. 振动与冲击, 2022, 41(5): 9-19.
LI Ao, CHEN Haibo, ZHONG Qiang, WANG Xing. Energy transfer characteristics of orthotropic laminated plate-shell coupled structure. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(5): 9-19.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2022/V41/I5/9

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