Dynamic behavior of stay cables with passive negative stiffness dampers

Shi, Xiang; Zhu, Songye; Li, Jin Yang; Spencer, Billie F.

doi:10.1088/0964-1726/25/7/075044

Cited by 81 publications

(63 citation statements)

References 38 publications

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“…It was found that the effects of damper supporter flexibility and internal stiffness and cable sag would reduce damping efficiency. Regarding the limited damping provided by passive dampers (due to limited installation length of damper), investigations were underway by means of cross‐ties and semiactive dampers . Smart materials, such as magnetorheological damper, have the potential for further wide applications; and studies are still needed to improve the fatigue life of shape memory alloy cross‐ties for possible applications.…”

Section: Introductioncontrasting

confidence: 66%

“…Recent research achievements were related to control strategy and further improving semiactive damping. The study of the coauthors had showed that spring near to damper would restrict cable motion and thus reduce damper performance; on the contrary, semiactive dampers showed phenomena of “negative stiffness,” which could assist cable motion and thus excel passive damper in damping performance. The previous studies by Krenk and Høgsberg and Duan had shown such similar effects for the case of small mass values: When a mass is at the same position with viscous damper near the cable anchorage, the maximum damping will increase as mass value increases, indicating the beneficial effects of attaching the concentrated mass together with damper to a cable.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Zhou

Huang

Xiang

et al. 2018

Struct Control Health Monit

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Summary Recent numerical studies showed the combined effects of mass and viscous damper would behave like that of semiactive damper with “negative stiffness properties.” This paper analytically studied the characteristic equation of the cable‐mass‐damper system derived with help of the transfer matrix method. After the expansion of the complex frequency equation in terms of real and imaginary parts, the special limiting solutions are obtained, together with three different classified mode behaviors. Asymptotic approximate formulations for damper and concentrated mass close to the cable end are developed provided that both the nondimensional mass coefficient and the frequency shift between the free and damped cable system are small. The influences of the nondimensional mass coefficient and its location on the maximum cable vibration damping and the corresponding optimal damper constant are also studied as the damper is installed near the cable anchorage and the mass is moved along the cable axis. When the damper and concentrated mass are located at the same position, the mode behaviors are investigated in three regimes by means of varying the nondimensional mass coefficient. The general solutions for the arbitrary location of damper and concentrated mass along the cable axis are further discussed. It is found that the concentrated mass will significantly affect the system damping, especially when the concentrated mass and the damper are located at the same half wave of the mode shape.

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Section: Introductioncontrasting

confidence: 66%

Section: Introductionmentioning

confidence: 99%

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

Zhou

Huang

Xiang

et al. 2018

Struct Control Health Monit

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“…Shi et al considered a taut cable model and proposed a stability limit for the maximum allowable negative stiffness in an NSD to avoid excessive displacement amplification at the damper location. By considering the effects of cable sag, cable bending stiffness, and damper support stiffness in the analytical model, Javanbakht et al derived an asymptotic NSD design formula and generalized the stability limit proposed by Shi et al . Further, this refined design tool justifies the higher amount of damping ratio provided by an NSD.…”

Section: Introductionmentioning

confidence: 99%

Multimode vibration control of stay cables using optimized negative stiffness damper

Javanbakht

Cheng

Ghrib

2020

Struct Control Health Monit

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Summary Due to their low inherent damping and high lateral flexibility, stay cables are prone to large amplitude vibrations governed by either a single or multiple cable modes. Among the practical measures, the installation of transverse passive dampers near the cable‐deck anchorage is a popular choice. Compared to conventional positive stiffness and zero stiffness dampers, negative stiffness damper (NSD) manifests superior performance in mitigating cable vibrations, especially in the case of long cables. In this study, a novel design approach is proposed to optimize NSD for multimode cable vibration control. Two design scenarios are considered. In the former, the damper size is optimized for a predetermined negative damper stiffness; whereas in the latter, the size and negative stiffness of the NSD are both optimized to achieve a required damping ratio for the dominant modes. The applicability of the proposed NSD optimum design approach is validated using 15 sample real stay cables. A numerical example is presented, of which a NSD is designed based on the proposed approach to optimize wind‐induced multimode vibration control of a 460‐m stay cable, and the performance is compared with that of a linear‐quadratic regulator (LQR) control. Results show that the selected NSD can effectively suppress the dominant modes and has a controlling effect comparable with an active control using LQR. In addition, it is found that when there exist more than two dominant modes in vibration, designing NSD for the lowest and the highest dominant modes would also adequately control the mid‐range modes.

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“…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].…”

Section: Effect Of Negative Stiffness Of the Damper On The Performancmentioning

confidence: 99%

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

2018

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Abstract:A new self-powered magnetorheological (MR) damper control system was developed to mitigate cable vibration. The power source of the MR damper is directly harvested from vibration energy through a rotary permanent magnet direct current (DC) generator. The generator itself can also serve as an electromagnetic damper. The proposed smart passive system also incorporates a roller chain and sprocket, transforming the linear motion of the cable into the rotational motion of the DC generator. The vibration mitigation performance of the presented self-powered MR damper system was evaluated by model tests with a 21.6 m long cable. A series of free vibration tests of the cable with a passively operated MR damper with constant voltage, an electromagnetic damper alone, and a self-powered MR damper system were performed. Finally, the vibration control mechanisms of the self-powered MR damper system were investigated. The experimental results indicate that the supplemental modal damping ratios of the cable in the first four modes can be significantly enhanced by the self-powered MR damper system, demonstrating the feasibility and effectiveness of the new smart passive system. The results also show that both the self-powered MR damper and the generator are quite similar to a combination of a traditional linear viscous damper and a negative stiffness device, and the negative stiffness can enhance the mitigation efficiency against cable vibration.

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Dynamic behavior of stay cables with passive negative stiffness dampers

Cited by 81 publications

References 38 publications

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

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

Multimode vibration control of stay cables using optimized negative stiffness damper

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

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