Effect of cross-link stiffness on the in-plane free vibration behaviour of a two-cable network

Ahmad, Javaid; Cheng, Shaohong

doi:10.1016/j.engstruct.2013.03.018

Cited by 53 publications

(34 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Design scenario 2 aims at selecting proper size and stiffness for a NSD to satisfy the specified damping requirement of a cable. Equations (10) and (13) can be used to address single-mode and multimode cable vibration control, respectively. To verify these two sets NSD design equations, three dampers are designed for each of the 15 sample cables.…”

Section: Verification Of Nsd Design Equations For Design Scenariomentioning

confidence: 99%

“…Recurring cable vibrations would not only cause fatigue at the cable anchorage but may also result in damage of the cable itself . Current practices for controlling detrimental cable vibrations include applying cable surface treatments, as well as installing dampers, cross‐ties, and hybrid systems . The utilization of energy‐dissipating devices, especially viscous dampers, has been a popular cable vibration control solution in the design of new cable‐stayed bridges and/or rehabilitation of existing ones .…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Multimode vibration control of stay cables using optimized negative stiffness damper

Javanbakht

Cheng

Ghrib

2020

Struct Control Health Monit

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: Verification Of Nsd Design Equations For Design Scenariomentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Multimode vibration control of stay cables using optimized negative stiffness damper

Javanbakht

Cheng

Ghrib

2020

Struct Control Health Monit

Self Cite

View full text Add to dashboard Cite

show abstract

“…Theoretically, the nondimensional spring stiffness is related to the axial stiffness of the cross‐link, and it can vary from 0 (no connection spring) to ∞ (perfectly rigid connection). The reported nondimensional axial stiffness parameter γ 1 for cross‐link on real cable stayed bridges ranges from 0.32 to 32 . When γ 1 → ∞, the following equation can be derived from Equation :

normalsinh Γ_{03} ({}, \begin{array}{l} 2 normalsinh Γ_{0} normalsinh ((), Γ_{01} + Γ_{02}) \\ + η normalsinh Γ_{01} ([], normalsinh ((), Γ_{02} + Γ_{03}) normalsinh ((), Γ_{01} + Γ_{02}) + normalsinh Γ_{0} normalsinh Γ_{02}) \end{array}) = 0

…”

Section: Two Identical Cablesmentioning

confidence: 99%

Free vibrations of a two-cable network with near-support dampers and a cross-link

Zhou

Xia

Sun

et al. 2015

Struct. Control Health Monit.

View full text Add to dashboard Cite

SUMMARYVibration mitigation of cables is a crucial problem for cable-supported bridges. A hybrid method for cable vibration mitigation that combines cross-ties and dampers has been applied in engineering practice; however, the damping and frequency of this kind of system needs to be further assessed. In this paper, a system of two parallel cables with a cross-link and dampers located near the cable anchorage is proposed and analyzed. Based on displacement continuity and force equilibrium at the damper and spring locations, the characteristic equation of the system is derived by applying the transfer matrix method. The complex characteristic equation is then numerically solved to obtain the modal damping and frequencies. The damping and frequency characteristics are discussed in detail for the case when the two cables are identical. Special attention is given to the case when only one damper is installed, and the approximate damping evaluation formulations are proposed when spring stiffness approaches infinity. Effects of mass-tension ratio, cable length ratio and frequency ratio on damping are also addressed. Finally, a case study of multimode damping optimization for bridge hangers is given. The results of this paper could be useful for vibration mitigation of two parallel cables and further development of design guidelines for cable networks with attached dampers.

show abstract

“…The method has been widely used by the subsequent studies mainly focusing on the influence of the mechanical properties of the cross‐ties and varied configurations on the dynamics of cable networks . For example, a two‐cable system connected with a rigid cross‐link was studied in detail by Ahmad and Cheng, and the effect of the cross‐link stiffness on cable in‐plane responses was investigated for cable networks with different configurations . The number of cross‐ties, as well as other key system parameters, have been studied in the context of a more complex cable network .…”

Section: Introductionmentioning

confidence: 99%

In‐plane free vibrations of shallow cables with cross‐ties

Sun

Hong

Chen

2019

Struct Control Health Monit

View full text Add to dashboard Cite

Summary Connecting stay cables with cross‐ties is the most promising solution for vibration control of long cables in cable‐stayed bridges. Existing studies have been focusing on the influences of the cross‐tie configurations and properties on the dynamics of the formed cable networks, mostly based on the taut‐string model of cables. However, the cross‐ties are particularly aimed at long cables whose in‐plane vibrations can be significantly affected by the sag effect. This paper therefore presents an analytical method to investigate free in‐plane vibrations of shallow cable networks with cross‐ties, using the linear theory of shallow cables. A two‐shallow‐cable network with one viscoelastic cross‐tie is studied in detail to appreciate the sag effect on the dynamics of the cable network. It is shown that the sag effect couples vibrations of the cable segments divided by the cross‐ties and changes the modal interactions substantially. When the cross‐tie is rigid, curve veering occurs between frequency curves of the system with respect to varying cross‐tie location, as compared with curve intersection in the absence of the sag effect. When the cross‐tie is flexible, generally, mode shapes of the cable segments and the whole cable are not antisymmetric nor symmetric, and the sag then affects nearly all the vibration modes. Furthermore, taking into account the damping effect of the cross‐tie, the frequency loci in the complex plane regarding the increment of cross‐tie damping coefficient can still be categorized by the corresponding undamped and clamped frequencies while the modal interaction becomes more complicated. Quantitatively speaking, when the sag parameter is in the practical range of existing cable‐stayed bridges, the first and second vibration modes of the cable networks are considerably affected and need to be considered for practice.

show abstract

Effect of cross-link stiffness on the in-plane free vibration behaviour of a two-cable network

Cited by 53 publications

References 11 publications

Multimode vibration control of stay cables using optimized negative stiffness damper

Multimode vibration control of stay cables using optimized negative stiffness damper

Free vibrations of a two-cable network with near-support dampers and a cross-link

In‐plane free vibrations of shallow cables with cross‐ties

Contact Info

Product

Resources

About