Efficiency of vibrational energy dissipation by tuned rolling-cylinder dampers

Tsuda, Ryota; Saeki, Masato

doi:10.1016/j.jsv.2019.114977

Cited by 6 publications

(5 citation statements)

References 15 publications

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“…The nonlinear reaction forces F x and F y resulting from the movement of the rolling body in the runway are determined by applying the conservation of momentum [27] to the free-body diagram in Figure 1 (with respect to the reference point A, dead weight of the rolling body not included),…”

Section: R R Rmentioning

confidence: 99%

“…The most important characteristic of TRMDs is their way of dissipating energy through rolling friction between the rolling mass and the container. Furthermore, even with multiple rolling masses, those types of dampers behave like a system with two degrees of freedom if combined with a single degree of freedom main system [27]. Therefore, either a friction model e.g., Coulomb friction, or an equivalent viscous damping term, needs to be considered [27].…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, even with multiple rolling masses, those types of dampers behave like a system with two degrees of freedom if combined with a single degree of freedom main system [27]. Therefore, either a friction model e.g., Coulomb friction, or an equivalent viscous damping term, needs to be considered [27]. In addition, combinations of tuned rolling mass dampers with well-investigated damper types, such as tuned liquid column dampers (TLCDs), have recently been examined more closely [28,29].…”

Section: Introductionmentioning

confidence: 99%

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Application of Parametric Forced Tuned Solid Ball Dampers for Vibration Control of Engineering Structures

Reiterer

Muik²

2023

Applied Sciences

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In this paper, parametric forced tuned solid ball dampers (TSBD) are considered for vibration control of engineering structures in an untypical way. The special feature of the presented investigation is to evaluate the potential application of parametric forcing of the rolling cylindrical or spherical body in the runway for reducing the vertical vibrations of a vibration-prone main system. Typically, tuned solid ball dampers are applied to structures that are prone to horizontal vibrations only. The coupled nonlinear differential equations of motion are derived and the phenomenon of parametric resonance of the rolling body in the runway is analyzed. A criterion for avoiding parametric resonance is given to achieve the optimal damping effect of the TSBD. In the second part of the article, a method for the targeted use of parametric resonance to reduce the vertical vibrations of engineering structures is presented and verified, considering a biaxially harmonic excited pedestrian bridge. It is shown that, with a suitable choice of damper parameters, a stable vibration of the rolling body in the runway is formed over the course of the vibration despite the occurrence of parametric resonance and that the maximum vertical vibration amplitudes of the main system can be reduced up to 93%. Hence, the here presented untypical application of parametric forced TSBD for reducing the vertical forced vibrations of vibration-prone main systems could be successfully demonstrated.

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Section: R R Rmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Application of Parametric Forced Tuned Solid Ball Dampers for Vibration Control of Engineering Structures

Reiterer

Muik²

2023

Applied Sciences

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“…The normal contact force f N acting on the cylindrical container is written as (Sullivan, 2011;Tsuda and Saeki, 2019) Figure 6. Frequency response curve with various particle diameters (steel particles, λ ¼ 3:3%).…”

Section: Contact Between Cylindrical Container and Curved Trackmentioning

confidence: 99%

“…The spring constant k Nc was determined on the basis of the Hertzian contact model. For contact between the cylindrical container and the curved track, the normal deformation δ N is given by (Lundberg, 1939;Tsuda and Saeki, 2019)…”

Section: Contact Between Cylindrical Container and Curved Trackmentioning

confidence: 99%

Investigation of dynamic characteristics of rolling particle dampers

Kuriyama

Saeki

2020

Journal of Vibration and Control

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In this article, the investigation of the use of a rolling particle damper under sinusoidal excitation is described. A rolling particle damper is a type of ball vibration absorber and consists of a rotating cylinder placed on a curved track mounted on a primary system. The rotating cylinder is partially filled with granular materials. When the rotating cylinder rolls inside the curved track, the granular materials also move. The friction between the granular materials and the inside wall of the rotating cylinder results in some energy dissipation. A rolling particle damper can be adopted in a harsh environment because it can be operated in a wide temperature range. The effects of the mass ratio, the particle material, and the particle diameter on the damping performance were examined experimentally. To elucidate the behavior of the entire system in detail, a numerical solution using the discrete element method was established. The predicted damping results were compared with experimental results for various mass ratios. In addition, the effect of the frequency ratio on the highest displacement amplitude of the primary system was examined referring to the numerical results.

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