A coefficient of restitution model for sphere–plate elastoplastic impact with flexural vibrations

Patil, Deepak; Higgs, C. Fred

doi:10.1007/s11071-017-3346-z

Cited by 19 publications

(10 citation statements)

References 29 publications

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“…For different combinations, the decrease in COR values with change in velocity from 1.74 to 2.43m/s was equal to 5%, 6%, 6% and 10% for GB-brass, GB-stainless steel, CSB-brass and CSB-stainless steel, respectively. Previous works (Wong et al, 2009, Aryaei et al, 2010, Marinack et al, 2013, Patil and Higgs, 2017 also found that the COR values for metallic collisions decrease with the increase in impact velocity. In the present work, for CSB impacting on the surfaces of stainless steel, the average values of COR for different impact heights ranged from 0.63 to 0.69.…”

Section: Coefficient Of Restitution Of Engineered Grainsmentioning

confidence: 65%

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Experimental study on the coefficient of restitution of grain against block interfaces for natural and engineered materials

et al. 2021

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The coefficient of restitution (COR) is an important input parameter in the numerical simulation of granular flows, as it governs the travel distance, the lateral spreading and the design of barriers. In this study, a new custom-built micro-mechanical impact loading apparatus is presented along with impact experiments on engineered and natural materials. The COR and energy loss of various grains and base block combinations are studied, including fairly regular shaped Leighton Buzzard sand (LBS) grains as a natural soil and granite/rubber as base blocks, apart from the use of engineered materials for the grains (chrome steel balls, glass balls) and blocks (stainless steel, brass). The repeatability of the new micro-mechanical impact loading apparatus was checked by impacting chrome steel balls on stainless steel block. In all the test combinations, the higher and lower values of the COR are found for granite block (ranging between 0.75-0.95) and rubber block (ranging between 0.37-0.44) combinations, respectively. For the tested grain-block combinations, lower values of COR were observed for impacts between materials of low values of composite Young’s modulus.

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Section: Coefficient Of Restitution Of Engineered Grainsmentioning

confidence: 65%

“…(10). The analysis by Marinack et al (2013) and Patil and Higgs (2017) of similar drop velocities showed that the air drag is negligible, and the COR values only differ less than 1% if air drag is considered. The impact of the grain on the block can vary from perfectly elastic to perfectly plastic.…”

Section: Analytical Expressionsmentioning

confidence: 96%

Experimental study on the coefficient of restitution of grain against block interfaces for natural and engineered materials

et al. 2021

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“…In the present study, the base blocks are stationary, therefore the velocity of the blocks reduces to zero. However, obtaining COR by measuring the ball's velocities can lead to errors even with the minimum possible differences [42]. Therefore, in this study, the COR is obtained using the initial drop height (h 1 ) and the rebound height (h 2 ) as presented in Figure 3 and Equation (4):…”

Section: Testing Program and Analytical Expressionsmentioning

confidence: 99%

Effect of Grain Size and Surface Roughness on the Normal Coefficient of Restitution of Single Grains

2020

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The coefficient of restitution (COR) represents the fraction of pre-collision kinetic energy remained after the collision between two bodies. The COR parameter plays an important role in the discrete numerical analysis of granular flows or the design of protective barriers to reduce flow energy. This work investigated the COR for grain-block type impacts through comprehensive experiments using a custom-built impact loading apparatus. Glass balls of three different sizes were used as grains.The impact experiments were performed on three different types of materials as base blocks, namely brass, granite and rubber. Experiments on the brass block showed a decrease in COR values with increasing grain size. On the contrary, impacts on granite and rubber blocks showed an increase in COR values with increasing grain size. Additionally, the effect of surface roughness on the COR was investigated. It was revealed that the increase in surface roughness of either the grain or the block reduced the COR values due to the increased plastic deformations of surface asperities.

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“…However, for a certain range of initial impact velocity, the coefficient of restitution showed nearly constant results within allowed error from the macro scale. 21,[30][31][32] For example, in Gheadnia et al, 31 the experimental results of a steel rod (stainless steel) impacting the steel flat surface (low-carbon iron) show almost constant results for the coefficient of restitution, e, that is, for initial impact angle h ¼ 45 , e&0.43; and for h ¼ 17.2 , e&0.55.…”

Section: Had Expanded the Work Of Hunt Andmentioning

confidence: 99%

Comprehensive analyses of the elasto-plastic oblique contact-impact with vibration response

Meng

Wang

2018

Proceedings of the Institution of Mechanical Engineers, Part K:

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Contact-impact between different surfaces is a ubiquitous phenomenon especially in the mechanical systems. Previous work of authors indicated that the effect of longitudinal and/or transverse vibration response during the motion and dynamic modeling cannot be neglected for the elasto-plastic contact-impact events. In this study, further analyses were performed to characterize the contribution of longitudinal and transverse vibration responses during the elasto-plastic oblique contact-impact, and the formula to calculate the influence factor of vibration, ξ, was proposed based on the contact force with different vibrations during the impact. The momentum theorem and assumed mode method were used to develop the equations of motion of a flexible bar with a solid flat surface. Simulation results were compared with experimental results reported in the literature to verify the accuracy of the established model. The tangential and normal velocities of the contact point after the impact were compared with the simulations for different vibration cases, and the comparison between the simulations and the experimental results had yield encourage results. For different elasto-plastic materials, three critical initial impact angles had been found from the simulation to determine whether the flexible bar slides or sticks the flat surface. Although considering the effect of vibration response during the motion and dynamic modeling is very significant, increasing the number of shape functions did not effect the result significantly. The longitudinal and transverse vibration responses were found to effect the normal and tangential velocities of the contact point after the impact, respectively. Moreover, it had been shown that for the oblique contact-impact with sliding, considering the response of longitudinal and transverse vibration at the same time is more reasonable than other cases, which also reveals that, in this case, there is a good agreement between the simulation and experimental results. Besides, the mathematical expression on the influence factor of vibration depending on the initial velocity also had been obtained by a numerical analysis. This work can provide useful insights for dynamic modeling of complex multi-body systems during the contact-impact.

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A coefficient of restitution model for sphere–plate elastoplastic impact with flexural vibrations

Cited by 19 publications

References 29 publications

Experimental study on the coefficient of restitution of grain against block interfaces for natural and engineered materials

Experimental study on the coefficient of restitution of grain against block interfaces for natural and engineered materials

Effect of Grain Size and Surface Roughness on the Normal Coefficient of Restitution of Single Grains

Comprehensive analyses of the elasto-plastic oblique contact-impact with vibration response

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