2004
DOI: 10.1115/1.1688763
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Modeling of Granular Particle Damping Using Multiphase Flow Theory of Gas-Particle

Abstract: A theoretical model based on multiphase flow theory of gas-particle is developed to evaluate the granular particle damping characteristics. Expressions for the drag forces of the equivalent viscous damping and the Coulomb friction damping are formulated respectively. The nonlinear free vibration of an exemplified cantilever particle-damping beam is analyzed by using the averaging method based on the first approximation. Numerical results are also presented to illustrate general characteristics of the particle-… Show more

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Cited by 78 publications
(33 citation statements)
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“…For simple systems, such as cantilever oscillators, some progress has been made. Theoretical models have been developed based on phenomenological descriptions of the multiphase gas-particle flow of granular matter for attenuating oscillations [35] and also for driven steady state oscillations [36].…”
Section: Introductionmentioning
confidence: 99%
“…For simple systems, such as cantilever oscillators, some progress has been made. Theoretical models have been developed based on phenomenological descriptions of the multiphase gas-particle flow of granular matter for attenuating oscillations [35] and also for driven steady state oscillations [36].…”
Section: Introductionmentioning
confidence: 99%
“…Experimental and numerical methods are used to understand the physics of the PID. Experiments are conducted by Panossian [5,22], Papalou and Masri [23,24], Tomlinson et al [3], Saeki [25], Olson [26], Xu et al [27][28][29], Mao et al [30], Wu et al [31], Marhadi and Kinra [32], and Wong et al [33]. Most of the numerical simulations [18,25,26,30,33] are based on the discrete element method (DEM), which is initially proposed by Cundal and Strack [34].…”
Section: Introductionmentioning
confidence: 99%
“…Friend and Kinra [12] also studied PID by means of the equivalent mass method. Numerical analysis based on layered particle assumption [29] and multi-phase flow theories [31] are also reported.…”
Section: Introductionmentioning
confidence: 99%
“…In terms of particle damping mechanism, Fang and Tang [17] improved the analytical approximate modeling of granular damping using the multiphase flow theory [18] correlated with the numerical studies by discrete element method (DEM) [19,20]. They developed simulation studies for single DOF vertical forced vibration system, evaluating the interaction forces between the granules and the enclosure derived by the multiphase flow theory.…”
Section: Introductionmentioning
confidence: 99%