Inertial mass damper for mitigating cable vibration

Abstract

Summary Stay cables used in cable‐stayed bridges are prone to vibration due to their low‐inherent damping characteristics. Many methods have been implemented in practice to mitigate such vibration. Recently, negative stiffness dampers have gained attention because of their promising energy dissipation ability. The viscous inertial mass damper (VIMD) has been shown to have properties similar to negative stiffness dampers. This paper examines the potential of the VIMD to enhance the damping, and mitigate the vibration, of stay cables. First, a control‐oriented model of the cable is employed to formulate a system level model of the cable–VIMD system for small in‐plane motion. After carefully classifying and labeling the mode order, the modal characteristics of the system are analyzed, and the optimal damper parameters for the several lower frequency modes are determined numerically. The results show that the achievable modal damping ratio can be up to nearly an order of magnitude larger than that of the traditional linear viscous damper; note that the optimal parameters of the VIMD are distinct for each mode of interest. These results are further validated through analysis of the cable responses due to the distributed sinusoidal excitation. Finally, a case study is conducted for a cable with a length of 307 m, including the design of practical damper parameters, modal‐damping enhancement, and vibration mitigation under wind loads. The results show that the VIMD is a promising practical passive damper that possesses greater energy dissipation capacity than the traditional viscous damper for such cable–damper systems.

Free vibration of a taut cable with a damper and a concentrated mass

“…The Equation in analytical form gives all possible solutions of taut cable with a viscous damper and a concentrated mass. Further comparison showed the results of this analytical solutions were the same as the results by numerical method as stated by Lu et al as also stated in the following section.…”

“…Figure shows that if ϕ is not zero, η in Equation will firstly decrease and then reach to a minimum value as α decrease and then increases to an infinite value as α tends to minus infinity. Figure also shows the comparison between solutions of Equation to results of Galerkin's method with 499 trigonometric functions together with one static deflection at damper location shape as shape functions . The number of shape functions is increased to be 500 to reduce the error of Galerkin's method for the mode shape of cable is hyperbolic rather than trigonometric when β = 0 (Equation ).…”

“…Lazar et al reported a commercially available inerter damper, which had an apparent mass to real mass ratio of 38 (with higher mass ratios available on demand). Numerical study had showed the damper with inertial mass would had similar behaviors and had better performance than passive damper . However, little attention has been paid to more general analytical results involving a taut cable with a damper and a concentrated mass at arbitrary positions.…”

Development of a Self-Powered Magnetorheological Damper System for Cable Vibration Control

“…According to the research results above, it has been confirmed that the negative stiffness is capable of improving the energy dissipation ability of a conventional damper. In view of such benefits, several passive negative stiffness dampers were also proposed to enhance the vibration control performance of the cable, such as a viscous damper with a negative magnetic stiffness spring [44], an oil damper with two pre-compressed springs [45], and a viscous inertial mass damper [46].…”

Effect of inerter for seismic mitigation comparing with base isolation

“…In order to improve the performance of the TMD, the tuned mass damper inerter (TMDI), which combines the inerter with the TMD, was proposed to reduce the large mass in conventional TMD by the mass amplification effect of the inerter . When the mass in TMDI is entirely replaced by the inerter, the TMDI system becomes the tuned inerter damper system, which has been studied in many aspects . Recently, an alternative that combining the conventional BIS with the TMDI proposed by De Domenico and Ricciardi has been proved to be a more effective vibration control strategy with the comparison of BIS coupled with TMD as well as the comparison of BIS with supplementary damping.…”