This study proposes a two-cable network model, which includes a cross-tie and two concentrated masses installed at the connection points of cross-tie and cable. The characteristic equation of such a cable network system is formulated via the complex modal analysis method. Then, dynamics of a twin-cable network is discussed in details, and the effect of concentrated mass on the system modal frequencies, damping and mode shapes is investigated. Furthermore, a general two-cable network system is analyzed. Results show that the concentrated mass always reduces the modal frequency, as it causes an increase in the modal mass of the system. When installing a concentrated mass in a twin-cable network, the difference of vibration modes between the cables can be increased in the in-phase modes, thereby achieving the damping effect of the damping type cross-tie on these modes. For a twin-cable network with a viscous damper, a small concentrated mass can significantly increase the modal damping of the in-phase modes as long as the damping coefficient of the damper is properly set. Meanwhile, when there is a two-cable network with unequal length cables, the presence of concentrated masses may reduce differences in vibration modes between cables, thus leading to decreased damping of some modes.

本研究提出了一种双电缆网络模型，其中包括一根交叉拉杆和安装在交叉拉杆和电缆连接点的两个集中质量体。通过复模态分析方法建立了这种电缆网络系统的特征方程。然后，详细讨论了双缆网络的动力学，并研究了集中质量对系统模态频率、阻尼和振型的影响。此外，还分析了一般的两线网络系统。结果表明，集中质量总是会降低模态频率，因为它会导致系统模态质量的增加。当在双缆网络中安装集中质量时，可以在同相模态下增大缆索之间振动模态的差异，从而实现阻尼型拉杆对这些模态的阻尼作用。对于具有粘性阻尼器的双缆网络，只要适当设置阻尼器的阻尼系数，小的集中质量就可以显着增加同相模态的模态阻尼。同时，当存在电缆长度不等的双电缆网络时，集中质量的存在可能会减少电缆之间振动模态的差异，从而导致某些模态的阻尼减小。