Numerical and experimental evaluation of the coefficient of restitution for repeated impacts

Seifried, Robert; Schiehlen, Werner; Eberhard, Peter

doi:10.1016/j.ijimpeng.2005.01.001

Cited by 124 publications

(66 citation statements)

References 19 publications

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“…7b. For elastic-plastic behaviour during the impact, the restitution coefficient is in the range of 0 < e < 1, see examples in [5,15,16,20,23,28,34,55,59,60,71,76,83,85,88,91,92].…”

Section: Measurement Of the Restitution Coefficient Of A Granulementioning

confidence: 99%

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Energy absorption during compression and impact of dry elastic-plastic spherical granules

et al. 2010

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The discrete modelling and understanding of the particle dynamics in fluidized bed apparatuses, mixers, mills and others are based on the knowledge about the physical properties of particles and their mechanical behaviour during slow, fast and repeated stressing. In this paper model parameters (modulus of elasticity, stiffness, yield pressure, restitution coefficient and strength) of spherical granules ( γ -Al 2 O 3 , zeolites 4A and 13X, sodium benzoate) with different mechanical behaviour have been measured by single particle compression and impact tests. Starting with the elastic compression behaviour of granules as described by Hertz theory, a new contact model was developed to describe the force-displacement behaviour of elastic-plastic granules. The aim of this work is to understand the energy absorption during compression (slow stressing velocity of 0.02 mm/s) and impact (the impact velocity of 0.5-4.5 m/s) of granules. For all examined granules the estimated energy absorption during the impact is found to be far lower than that during compression. Moreover, the measured restitution coefficient is independent of the impact velocity in the examined range and independent of the load intensity by compression (i.e. maximum compressive load). In the case of repeated loading with a constant load amplitude, the granules show cyclic hardening with increasing restitution coefficient up to a certain saturation in the plastic deformation. A model was proposed to describe the increase of the contact stiffness with the number of cycles. When the load amplitude is subsequently increased, further plastic deformation takes place and the restitution coefficient strongly decreases.

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“…7b. For elastic-plastic behaviour during the impact, the restitution coefficient is in the range of 0 < e < 1, see examples in [5,15,16,20,23,28,34,55,59,60,71,76,83,85,88,91,92].…”

Section: Measurement Of the Restitution Coefficient Of A Granulementioning

confidence: 99%

“…Pendulum-based experiments are also performed to measure the restitution coefficient in particle-wall [16,34], particle-particle [86,108] and particle-beam events [83]. Figure 8c schematically shows the pendulum experiments.…”

Section: Measurement Of the Restitution Coefficient Of A Granulementioning

confidence: 99%

Energy absorption during compression and impact of dry elastic-plastic spherical granules

et al. 2010

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“…In systems without tangential friction, the energy dissipation is mainly associated with material damping and material plasticity (leading to permanent indentation). At high impact velocities, the effect of plasticity predominates over the material damping mechanism [14,15] (though plasticity effects may also occur at relatively moderate pre-impact velocities).…”

Section: Multiple-point Impact With Redundancymentioning

confidence: 99%

Combining vibrational linear-by-part dynamics and kinetic-based decoupling of the dynamics for multiple elastoplastic smooth impacts

2015

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Abstract. This article proposes a linear-by-part approach for elastoplastic 3D multiple-point smooth impacts in multibody systems energy dissipation due to material deformation is introduced through a linear-by-part elastoplastic model consisting on two elementary sets of springs and dry-friction dampers. The first set accounts for inelastic behavior (energy loss without permanent indentation), while the second one introduces plasticity (that is, permanent indentation). In inelastic and plastic collisions, instantaneous unilateral constraints may appear, thus reducing the number of degrees of freedom (DOF)

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“…The resulting wave phenomena are considered as a linear problem throughout the entire bodies. Therefore, models combined of two submodels are proposed, see also [3,4]. The global elastodynamic behavior of the colliding bodies is described by modally reduced linear FE models of the colliding bodies.…”

Section: Numerical Modelsmentioning

confidence: 99%

“…For a numerical evaluation of the amount of kinetic energy transformed into wave propagation and structural vibration, as well as plastic deformation, a detailed simulation on a fast time scale is necessary [2,3,4]. In this paper modally reduced Finite Element (FE) models, representing the elastodynamic behavior of the bodies, are used in combination with local contact models which include also plastic effects.…”

Section: Introductionmentioning

confidence: 99%

Impact Analysis using Modal Reduction

Seifried

Eberhard

2005

Proc Appl Math and Mech

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Numerical and experimental evaluation of the coefficient of restitution for repeated impacts

Cited by 124 publications

References 19 publications

Energy absorption during compression and impact of dry elastic-plastic spherical granules

Energy absorption during compression and impact of dry elastic-plastic spherical granules

Combining vibrational linear-by-part dynamics and kinetic-based decoupling of the dynamics for multiple elastoplastic smooth impacts

Impact Analysis using Modal Reduction

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