Pounding tuned mass damper-inerter for vortex-induced vibration control of cable stays

Here, on the basis of previous study on tuned mass damper-inerter (TMDI), a nonlinear collision mechanism was introduced, and a new type of pounding tuned mass damper-inerter (PTMDI) was proposed to control vortex-induced vibration of cable stays. This damper could not only reduce itself size, but also utilize the acceleration sudden change generated by oscillator during collision to improve the mass amplification effect of the damper-inerter. To some extent, it could solve the traditional installation mode of the damper-inerter' s one end fixed as much as possible, and the arrangement was more flexible. The control equation for vortex-induced vibration reduction of a cable with this device was established. Characteristics of cable vortex-induced vibration were analyzed, and the established control system' s vibration reduction performance was studied. Effects and optimization problems of damper-inerter parameters and collision parameters were explored to deduce the method for obtaining optimal parameters. Numerical examples showed that the proposed PTMDI can significantly reduce vortex-induced vibration responses of cables, and have superior control ability under the optimal parameters obtained with the proposed optimization method. The analysis for control of multimodal vortex-induced vibrations in cables under frequent wind conditions showed that the collision mechanism can improve the robustness of PTMDI, and have a considerable degree of control effect on multi-modal vortex-induced vibrations. © 2024 Chinese Vibration Engineering Society. All rights reserved.