Restitution properties in direct central collision of three inelastic spheres

The purpose of this paper is to investigate the micromechanical processes during impact as well as the related macro-mechanical restitution properties in a three body multiple impact system. Thereby, the microscale refers to the detailed processes during impact, while the macroscale refers to the ov...

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Autores principales:	Hirofumi MINAMOTO, Robert SEIFRIED, Peter EBERHARD, Shozo KAWAMURA
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2016
Materias:	direct central collision inelastic sphere multiple collisions coefficient of restitution coefficient of restitution matrix finite element analysis Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/f0392420a0484235b3eff7514f2c87dd
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spelling	oai:doaj.org-article:f0392420a0484235b3eff7514f2c87dd2021-11-26T06:58:32ZRestitution properties in direct central collision of three inelastic spheres2187-974510.1299/mej.16-00278https://doaj.org/article/f0392420a0484235b3eff7514f2c87dd2016-11-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/3/6/3_16-00278/_pdf/-char/enhttps://doaj.org/toc/2187-9745The purpose of this paper is to investigate the micromechanical processes during impact as well as the related macro-mechanical restitution properties in a three body multiple impact system. Thereby, the microscale refers to the detailed processes during impact, while the macroscale refers to the overall dynamics of the impact system which is normally evaluated by rigid bodies. Specifically, this paper deals with numerical and experimental investigations of direct central collisions of three identical inelastic spheres. In the experiments the velocities of three spheres during impacts are measured by Laser-Doppler-Vibrometers. In the numerical simulation, finite element analyses are performed, where the material properties obtained from static and dynamic compression tests are used. In order to confirm the validity of the numerical model, the results from the finite element analyses are compared to the experimental results and show good agreement. Afterwards, micromechanical investigations of the impact processes are performed using finite element analysis. Thereby quantities such as impact force, deformation, and kinetic energy loss are investigated in detail. Then, the macroscale rebound properties of multiple collisions are derived using the simulation results on a microscale. In general, a single coefficient of restitution (COR) can be used to evaluate on the macroscale the restitution property in two body impacts. However, in instantaneous impact modelling this cannot be used for general multibody systems where multiple concurrent impacts occur. Therefore, a COR matrix is employed in this paper as measure of the macroscale restitution properties and the overall impact dynamics of the system. Finally, a rigid body simulation with continuous contact law is attempted as an alternative macro-mechanical model. It is shown for this specific impact system that this method can produce practical macroscale behavior of the colliding spheres if a simple single impact COR is used. This is shown by comparison with the COR matrix.Hirofumi MINAMOTORobert SEIFRIEDPeter EBERHARDShozo KAWAMURAThe Japan Society of Mechanical Engineersarticledirect central collisioninelastic spheremultiple collisionscoefficient of restitutioncoefficient of restitution matrixfinite element analysisMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 3, Iss 6, Pp 16-00278-16-00278 (2016)
institution	DOAJ
collection	DOAJ
language	EN
topic	direct central collision inelastic sphere multiple collisions coefficient of restitution coefficient of restitution matrix finite element analysis Mechanical engineering and machinery TJ1-1570
spellingShingle	direct central collision inelastic sphere multiple collisions coefficient of restitution coefficient of restitution matrix finite element analysis Mechanical engineering and machinery TJ1-1570 Hirofumi MINAMOTO Robert SEIFRIED Peter EBERHARD Shozo KAWAMURA Restitution properties in direct central collision of three inelastic spheres
description	The purpose of this paper is to investigate the micromechanical processes during impact as well as the related macro-mechanical restitution properties in a three body multiple impact system. Thereby, the microscale refers to the detailed processes during impact, while the macroscale refers to the overall dynamics of the impact system which is normally evaluated by rigid bodies. Specifically, this paper deals with numerical and experimental investigations of direct central collisions of three identical inelastic spheres. In the experiments the velocities of three spheres during impacts are measured by Laser-Doppler-Vibrometers. In the numerical simulation, finite element analyses are performed, where the material properties obtained from static and dynamic compression tests are used. In order to confirm the validity of the numerical model, the results from the finite element analyses are compared to the experimental results and show good agreement. Afterwards, micromechanical investigations of the impact processes are performed using finite element analysis. Thereby quantities such as impact force, deformation, and kinetic energy loss are investigated in detail. Then, the macroscale rebound properties of multiple collisions are derived using the simulation results on a microscale. In general, a single coefficient of restitution (COR) can be used to evaluate on the macroscale the restitution property in two body impacts. However, in instantaneous impact modelling this cannot be used for general multibody systems where multiple concurrent impacts occur. Therefore, a COR matrix is employed in this paper as measure of the macroscale restitution properties and the overall impact dynamics of the system. Finally, a rigid body simulation with continuous contact law is attempted as an alternative macro-mechanical model. It is shown for this specific impact system that this method can produce practical macroscale behavior of the colliding spheres if a simple single impact COR is used. This is shown by comparison with the COR matrix.
format	article
author	Hirofumi MINAMOTO Robert SEIFRIED Peter EBERHARD Shozo KAWAMURA
author_facet	Hirofumi MINAMOTO Robert SEIFRIED Peter EBERHARD Shozo KAWAMURA
author_sort	Hirofumi MINAMOTO
title	Restitution properties in direct central collision of three inelastic spheres
title_short	Restitution properties in direct central collision of three inelastic spheres
title_full	Restitution properties in direct central collision of three inelastic spheres
title_fullStr	Restitution properties in direct central collision of three inelastic spheres
title_full_unstemmed	Restitution properties in direct central collision of three inelastic spheres
title_sort	restitution properties in direct central collision of three inelastic spheres
publisher	The Japan Society of Mechanical Engineers
publishDate	2016
url	https://doaj.org/article/f0392420a0484235b3eff7514f2c87dd
work_keys_str_mv	AT hirofumiminamoto restitutionpropertiesindirectcentralcollisionofthreeinelasticspheres AT robertseifried restitutionpropertiesindirectcentralcollisionofthreeinelasticspheres AT petereberhard restitutionpropertiesindirectcentralcollisionofthreeinelasticspheres AT shozokawamura restitutionpropertiesindirectcentralcollisionofthreeinelasticspheres
_version_	1718409754133397504

Restitution properties in direct central collision of three inelastic spheres

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