Damper

Suspension (topology)

Control (management)

Tuned mass damper

Engineering

Pure mathematics

Biology

Statistics

Homotopy

Vibration control

Vibration

Computer science

Acoustics

Controller (irrigation)

Optimal design

Physics

Finite element method

Mathematics

Agronomy

Artificial intelligence

Structural engineering

Control theory (sociology)

Mechanical Systems and Signal Processing

This paper investigates the optimal design of the Maxwell tuned mass-damper-inerter (M-TMDI) for mitigating the vortex-induced vibration (VIV) in bridges. The M-TMDI consists of a three-element tuned mass damper (TMD) and an inerter. Considering that the bridge deck is a multiple-degree-of-freedom (DOF) system, the inerter location is considered as a design variable of the M-TMDI in our study. The optimal parameters of a specific M-TMDI, in which the end of the inerter is connected to the fixed ground, are analytically given based on a two-DOF system. Furthermore, the optimal parameters of the M-TMDI with any inerter location on the bridge deck are developed in closed-form based on a multiple-DOF system. Finally, numerical analysis on a continuous steel box-girder bridge subjected to the VIV is performed to confirm the optimal design and superiority of the M-TMDI control. The result demonstrates that the optimally designed M-TMDI outperforms the TMD and three-element TMD in the transient amplitude mitigation, steady-state amplitude mitigation, stroke limitation, and static stretching reduction. The optimal control effect of the M-TMDI greatly depends on the defined effective mass ratio, which is function of the inerter location, mode shape, physical mass, and inertial mass.

Optimal design of tuned mass damper inerter with a Maxwell element for mitigating the vortex-induced vibration in bridges