Single unit impact damper in free and forced vibration

Bapat, C.N.; Sankar, S.

doi:10.1016/0022-460x(85)90446-8

Cited by 137 publications

(67 citation statements)

References 5 publications

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“…11, periodic solutions with more than two impacts are shown, along with chaos and quasi-periodic solution. It is considered that the analysis limited to a symmetrical periodic solution with two impacts per period (8) (9) is not sufficient for the analysis of the impact damper system. The results of Fig.…”

Section: Numerical Calculation and Discussionmentioning

confidence: 99%

“…Bapat and Sankar (8) , Popplewell and Liao (9) showed the optimum vibration quenching condition, assuming that the system had only this type of solution. On the other hand, Masri (10) , Popplewell et al (11) , Sung and Yu (12) showed the method to obtain a solution which had any amount of collisions per period and the stability analysis of such a solutions.…”

Section: Introductionmentioning

confidence: 98%

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Periodic Solutions, Bifurcations, Chaos and Vibration Quenching in Impact Damper

Yoshitake

Harada

Kitayama³

et al. 2007

JSDD

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This paper deals with a two-degree-of-freedom forced system composed of a main system and an impact damper which has been analyzed by many researchers. Periodic solutions, bifurcations, chaos, and vibration quenching are discussed. A shooting method for impact systems presented by authors is used in numerical calculations. The following results were obtained : (1) Unsynmetric periodic solution with four collisions per period and subharmonic vibrations with many collisions were found. (2) Discontinuities in the stability of the periodic solutions caused by impact were shown using characteristic multipliers. (3) Two routes to chaos were found, namely, the period doubling route and the torus doubling route. (4) Hyper chaos was found for the first time in the impact damper system. (5) The vibration quenching problems for the narrow frequency region near the resonance point and for the wide frequency region were discussed.

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Section: Numerical Calculation and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Periodic Solutions, Bifurcations, Chaos and Vibration Quenching in Impact Damper

Yoshitake

Harada

Kitayama³

et al. 2007

JSDD

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“…They may be exposed to harsh chemical environments, and they are highly effective in suppressing responses over a wide range of frequencies [l-6]. The single particle impact damper is a special case of the particle damper that has been analyzed extensively [7][8][9][10][11]. Particle damping has attracted the attention of many researchers in industry and academia.…”

Section: Introductionmentioning

confidence: 99%

Coupling Simulation Algorithm of Discrete Element Method and Finite Element Method for Particle Damper

Xia

Liu

Shan

et al. 2009

Journal of Low Frequency Noise, Vibration and Active Control

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One advantage of the particle damper is that its property is independent of the surrounding temperature. This allows it to be used in harsh environments where traditional dampers fail. But current design of this damper mainly depends on experimental results because of a lack of theoretical research. In this paper, an investigation into particle dampers is performed analytically and experimentally. A coupling simulation algorithm based on the discrete element method and finite element method is presented. Comparison between the analytical and experimental results shows that simulation of the response of a cantilever plate with a particle damper is accurate. It is shown that the response of the cantilever plate depends on the mass-fill ratio and particle density of the particle damper.

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“…They plotted a table that shows the optimum gaps and the corresponding amplitude reduction when the impact damper is subjected to forced vibration. [98] Ema and Marui's research [100] showed that the additional damping provided by the impact damper is due to the collisions of the impact mass with the primary system. In addition, the optimal damping is affected by the mass ratio and the clearance.…”

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confidence: 99%

Particle impact dampers: Past, present, and future

Wang

Masri

Lü

2017

Struct Control Health Monit

175

105

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Particle damping, an effective passive vibration control technology, is developing dramatically at the present stage, especially in the aerospace and machinery fields. The aim of this paper is to provide an overview of particle damping technology, beginning with its basic concept, developmental history, and research status all over the world. Furthermore, various interpretations of the underlying damping mechanism are introduced and discussed in detail. The theoretical analysis and numerical simulation, together with their pros and cons are systematically expounded, in which a discrete element method of simulating a multi-degree-of-freedom structure with a particle damper system is illustrated. Moreover, on the basis of previous studies, a simplified method to analyze the complicated nonlinear particle damping is proposed, in which all particles are modeled as a single mass, thereby simplifying its use by practicing engineers. In order to broaden the applicability of particle dampers, it is necessary to implement the coupled algorithm of finite element method and discrete element method. In addition, the characteristics of experimental studies on particle damping are also summarized. Finally, the application of particle damping technology in the aerospace field, machinery field, lifeline engineering, and civil engineering is reviewed at length. As a new trend in structural vibration control, the application of particle damping in civil engineering is just at the beginning. The advantages and potential applications are demonstrated, whereas the difficulties and deficiencies in the present studies are also discussed. The paper concludes by suggesting future developments involving semi-active approaches that can enhance the effectiveness of particle dampers when used in conjunction with structures subjected to nonstationary excitation, such as earthquakes and similar nonstationary random excitations. KEYWORDS discrete element method, impact damping, nonlinear energy sink, particle damping, passive control, semiactive control | INTRODUCTIONParticle damping technology is a form of an auxiliary-mass type vibration damper, wherein multiple metal, tungsten carbide, ceramic or other types of small particles are placed within the cavities of the vibrating structure, or the enclosures attached to the vibrating structure in order to mitigate the response of the primary structure. [1,2] As the primary structure vibrates, kinetic energy is significantly absorbed through the combined effects of particle-to-particle and particle-to-wall inelastic collisions and frictional losses, producing considerable damping to the primary structure. [3][4][5][6] Particle damping technology has been widely Received: 23 February 2017 Revised: used due to its conceptual simplicity, moderate cost, good durability, and temperature insensitivity. Provided that the operating temperature is below the particles' metal melting point, it could maintain normal operation. Furthermore, material such as tungsten powder can withstand the high temp...

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Single unit impact damper in free and forced vibration

Cited by 137 publications

References 5 publications

Periodic Solutions, Bifurcations, Chaos and Vibration Quenching in Impact Damper

Periodic Solutions, Bifurcations, Chaos and Vibration Quenching in Impact Damper

Coupling Simulation Algorithm of Discrete Element Method and Finite Element Method for Particle Damper

Particle impact dampers: Past, present, and future

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