Refined Study on Free Vibration of a Cable with an Inertial Mass Damper

Yue, Fangfang; Wang, Hao; Gao, Hui; Fan, Buqiao

doi:10.3390/app9112271

Cited by 14 publications

(22 citation statements)

References 64 publications

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“…Many inerter-based absorber layouts have been proposed, and their control performance advantages have been proven for civil engineering structures [41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59]. As for the vibration suppression of cables, typical inertial mass dampers (IMDs) [60][61][62][63][64][65] and tuned inerter dampers [66,67] were well developed, and their significant improvement on the achievable modal damping ratio of the cable was verified via both theoretical and experimental investigations.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration of a Taut Cable with Two Discrete Inertial Mass Dampers

Yue

Gao

2019

Applied Sciences

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Recently, inertial mass dampers (IMDs) have shown superior control performance over traditional viscous dampers (VDs) in vibration control of stay cables. However, a single IMD may be incapable of providing sufficient supplemental modal damping to a super-long cable, especially for the multimode cable vibration mitigation. Inspired by the potential advantages of attaching two discrete VDs at different locations of the cable, arranging two external discrete IMDs, either at the opposite ends or the same end of the cable is proposed to further improve vibration mitigation performance of the cable in this study. Complex modal analysis based on the taut-string model was employed and extended to allow for the existence of two external discrete IMDs, resulting in a transcendental equation for complex wavenumbers. Both asymptotic and numerical solutions for the case of two opposite IMDs or the case of two IMDs at the same end of the cable were obtained. Subsequently, the applicability of asymptotic solutions was then evaluated. Finally, parametric studies were performed to investigate the effects of damper positions and damper properties on the control performance of a cable with two discrete IMDs. Results showed that two opposite IMDs can generally provide superior control performance to the cable over a single IMD or two IMDs at the same end. It was also observed that attaching two IMDs at the same end of the cable had the potential to achieve significant damping improvement when the inertial mass of the IMDs is appropriate, which seems to be more promising than two opposite IMDs for practical application.

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Section: Introductionmentioning

confidence: 99%

Free Vibration of a Taut Cable with Two Discrete Inertial Mass Dampers

Yue

Gao

2019

Applied Sciences

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“…The lateral vibration of chain drive referred to the up and down direction vibration that occurred when the chain moved axially in the chain drive plane [34][35][36]. As shown in Figure 2, when the driven wheel was in the equilibrium position and its wheel center was used as the origin of the coordinate system, at any time t, the kinetic energy T and the potential energy V of the chain drive lateral vibration model system were as followed, respectively.…”

Section: Unbalance Vibration Modeling Of Grading Chain Drive Double Dmentioning

confidence: 99%

Dynamic Balance Method for Grading the Chain Drive Double Threshing Drum of a Combine Harvester

Tang

Liu

et al. 2020

Applied Sciences

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Although the individual threshing drum of a combine harvester was balanced on a dynamic balancing machine before it is assembled, there were still unbalances after multiple drums were assembled with the chain drive. In this paper, the double drums with a chain drive of a crawler combined harvester were selected as the research subject. The aim of this study was to develop a dynamic unbalance mode for grading chain drive double drums. Based on the dynamic unbalance characteristics of the main driven drum, the experimental research on the radial balance of the driven drum end face was carried out. It was known that the chain drive had a direct and obvious influence on the unbalanced phase of the drum. The unbalance of the drive load had an obvious effect on unbalanced amplitude of an active drum through the transfer characteristics of the chain drive. For the multi-stage transmission characteristics of a combine harvester, a step-by-step balanced grading chain drive double drum dynamic balancing method was practiced. Results showed that the unbalanced amplitude after balancing threshing drum I chain transmission mode of the combine harvester can be reduced by a maximum of 91%. Simultaneously, the unbalanced amplitude of threshing drum II can reduced by a maximum of 69.2%. The size and position of the wrap angle of the chain drive would directly affect the phase of the two equivalent unbalanced masses.

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“…A comprehensive analysis of a sagged cable with bending stiffness attached with a viscous damper considering support flexibility or a high damping rubber was performed by Fujino and Hoang, and the damper stiffness was further considered by Javanbakht et al Apparently, the cable‐damper system has been extensively studied using numerical and analytical methods in the last decades. Recent studies tend to focus on enhancing the damping effect of near‐anchorage dampers to compensate for the inadequate supplemental damping for long cables due to the limited damper installation distance from the cable anchorage and the sag effect, for example, using inerter or negative stiffness mechanism and so on and characterizing complex cable networks with cross‐ties . Meanwhile, numerical methods have been applied to precisely appreciate the influences of damper nonlinearity on the damping effects …”

Section: Introductionmentioning

confidence: 99%

Multimode cable vibration control using a viscous‐shear damper: Case studies on the Sutong Bridge

Chen

et al. 2020

Struct Control Health Monit

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Summary This study investigates multimode damping effects of a long cable attached with a viscous‐shear damper (VSD). A typical VSD comprises a casing box containing viscous medium and shearing plates with parts submerged in the medium. It dissipates vibration energy through shear deformation of the viscous medium. The VSD is low‐cost and invulnerable to leakage or increasing joint play and hence requires low maintenance effort. For studying its damping effects on long cables, three VSDs were designed respectively for three long cables of the Sutong Bridge, a cable‐stayed bridge with a main span of 1,088 m, and then tested in laboratory under forced sinusoidal displacements with various frequencies and amplitudes. Their dynamic behaviors were found to be accurately modeled using a viscous damper with intrinsic stiffness, while the viscous and stiffness coefficients depend on frequency and amplitude. The VSDs were subsequently attached to the cables respectively, and modal damping ratios of in‐plane modes of each cable without dampers and with the VSD were measured by free‐decay testing. The measurements obtained for most in‐plane modes with frequency less than 3 Hz show that the VSD provides satisfactory multimode damping effects with efficiency factors between 30% and 50% as compared to an ideal viscous damper and the damping decreases slightly for higher modes. The measurements are also found consistent with the results of complex modal analysis of a shallow cable with a Kelvin–Voigt damper considering frequency‐ and amplitude‐dependent damper properties. Particularly, analytical prediction using the damper properties tested under small deformation amplitude provides the lower bound of the damping effect.

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Refined Study on Free Vibration of a Cable with an Inertial Mass Damper

Cited by 14 publications

References 64 publications

Free Vibration of a Taut Cable with Two Discrete Inertial Mass Dampers

Free Vibration of a Taut Cable with Two Discrete Inertial Mass Dampers

Dynamic Balance Method for Grading the Chain Drive Double Threshing Drum of a Combine Harvester

Multimode cable vibration control using a viscous‐shear damper: Case studies on the Sutong Bridge

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