Abstract：In order to verify the damping effect of Electromagnetic Inertial Mass Dampers (EIMD) on free vibration of stay cables, a nonlinear free vibration equation of EIMD and stay cables is established based on the D’Alembert principle. within the error allowable range,Under the condition of ignoring bending stiffness, longitudinal inertia force and damping force of cable itself, and external dynamic load , the dynamic displacement of cable under lateral vibration in-plane and vibration out-of-plane is studied.The vibration equation is simplified by the standard Galerkin method, and the Simulink dynamic simulation model is built to perform numerical simulation calculation on the cable vibration equation, and the in- and out-of-plane displacement-time curve of the stay cable is obtained.By comparing the free vibration displacement of the stay cable, it can be concluded that after installing the EIMD, compared with the original cable vibration,the in-plane vibration displacement of the stay cable is reduced by 73.3% , and the out-of-plane vibration displacement is reduced by 72.5% compared with the original cable vibration.Establish and solve the cable-EIMD linear free vibration equation, and analyze the influence of cable sag on the control effect of the damper.
Key words: Electromagnetic Inertial Mass Damper; Free vibration of cable ; Damping;Electricity
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