The Influence of Viscoelasticity on Velocity-Dependent Restitutions in the Oblique Impact of Spheres

Willert, Emanuel; Kusche, Stephan; Popov, Valentin L.

doi:10.22190/fume170420006w

Cited by 9 publications

(12 citation statements)

References 42 publications

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“…Although the given examples mostly focus on analytical solutions for accessibility, it is, of course, possible to implement the rules in a numerical scheme to efficiently simulate viscoelastic contacts with arbitrary oblique loading histories. For example, based on the method, comprehensive contact-impact solutions for viscoelastic materials have been obtained very recently and cross-checked against respective Boundary-Element simulations [13].…”

Section: Displacement-controlled Indentation Of a Compressible Mediummentioning

confidence: 99%

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Method of Dimensionality Reduction in Contact Mechanics and Friction: A User’s Handbook. Iii. Viscoelastic Contacts

2018

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Until recently the analysis of contacts in tribological systems usually required the solution of complicated boundary value problems of three-dimensional elasticity and was thus mathematically and numerically costly. With the development of the so-called Method of Dimensionality Reduction (MDR) large groups of contact problems have been, by sets of specific rules, exactly led back to the elementary systems whose study requires only simple algebraic operations and elementary calculus. The mapping rules for axisymmetric contact problems of elastic bodies have been presented and illustrated in the previously published parts of The User's Manual, I and II, in Facta Universitatis series Mechanical Engineering [5, 9]. The present paper is dedicated to axisymmetric contacts of viscoelastic materials. All the mapping rules of the method are given and illustrated by examples.

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Section: Displacement-controlled Indentation Of a Compressible Mediummentioning

confidence: 99%

“…The solution of the impact problem, i.e. the coefficient of restitution two non-dimensional parameters, namely[13]…”

mentioning

confidence: 99%

Method of Dimensionality Reduction in Contact Mechanics and Friction: A User’s Handbook. Iii. Viscoelastic Contacts

2018

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“…e simulation time and simulation step are set up to 5 s and 20,000 steps, respectively. And the theoretical curve for the position of center of the rock sphere is obtained in combination with equation (11). Accordingly, the corresponding simulation results shown in Figure 4 are obtained by adjusting simulation damping.…”

Section: Eoretical and Simulation Resultsmentioning

confidence: 99%

“…For the collision behaviors between the coal gangue particles and the impact-contact problems between the coal gangue particles and the hydraulic support metal plate, through the theories, simulations and experiments [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19], and other methods, many scholars have carried out similar studies on the contact behavior between particles [20] and the contact behavior between particles and plates [21][22][23][24][25] in the early stage, which provides the basis for the research of the collision behavior between coal gangue particles or between the coal gangue and the hydraulic support in the top-coal caving. Jackson et al [26] investigated the restitution coefficient of the impacting elastic-perfectly plastic spheres.…”

Section: Introductionmentioning

confidence: 99%

Study on the Vibroimpact Response of the Particle Elastic Impact on the Metal Plate

Yang

Wan

2019

Shock and Vibration

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In order to study the contact and vibration response in the reciprocating impact between coal gangue particles and metal plate, on the basis of the Hertz contact theory, L-N contact model, and the Lagrange equation, this paper established an impact-contact model when the particles free falling to vertically impacts on the metal plate. The variable damping simulation method is proposed, and the accuracy of the variable damping simulation in the medium reciprocating collision is verified by combining the constant damping simulation, the variable damping simulation, and the falling body impact-contact model. The functional relationship between the damping term and the initial impact velocity in Adams simulation is also obtained. Then, through the rigid-flexible coupling method which is combined by Adams and Hypermesh, the three types of variable damping simulations are conducted: the simulation that the free-falling rigid rock sphere impact on the rigid metal plate, the simulation that the elastic rock sphere impact on the rigid metal plate, and the simulation that the elastic rock sphere impact on the elastic metal plate, respectively. Furthermore, contact and vibrate responses of the rock sphere and the metal plate in the three types of the simulation are studied. The results show that the impact-contact response of the rock sphere obtained from the simulation that the elastic rock sphere impact on the elastic metal plate is more accurate. After the flexible treatment of the rock sphere and the metal plate, most of the system energy is consumed during the impact. The conclusions will provide a theoretical calculation method for the medium vertical reciprocating impact and a theoretical basis for the setting of the damping term in Adams simulation and support the research basis for the study of the impact behavior between coal gangue particles and the metal plate.

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“…(4.28) und (4.29) ausgedrückt ist. Für Stoßprobleme mit Reibung wurde durch den Vergleich mit rigorosen numerischen Simulationen mithilfe der Randelemente-Methode (boundary element method, BEM) gezeigt, dass die MDR im Rahmen der getroffenen Annahmen und der numerischen Präzision die exakte Lösung des Kontaktproblems liefert [14]. Der MDR-basierte Algorithmus war dabei um mehrere Größenordnungen schneller als die Lösung auf Grundlage der BEM.…”

Section: Torsionskontaktunclassified

Die Methode der Dimensionsreduktion in der Kontaktmechanik

Willert

2020

Stoßprobleme in Physik, Technik Und Medizin

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ZusammenfassungSehr viele rotationssymmetrische Kontaktprobleme können exakt auf Kontakte zwischen einem entsprechend zu wählenden starren ebenen Profil und einer eindimensionalen Bettung von linearen, unabhängigen verallgemeinerten Federelementen abgebildet werden. Der mathematische und numerische Aufwand zur Behandlung solcher Kontakte ist deutlich geringer als im Fall des rotationssymmetrischen Originals; mathematisch durch die Rückführung des mehrdimensionalen Randwertproblems auf einfache algebraische Operationen und die Analysis einer einzigen Veränderlichen, numerisch durch die Reduktion der Freiheitsgrade und (was noch wichtiger ist) deren Entkopplung. Den Abbildungsschritt von dem dreidimensionalen, axialsymmetrischen Original auf das ebene Ersatzsystem leistet die Methode der Dimensionsreduktion (MDR), die in den letzten 10 Jahren am Fachgebiet für Systemdynamik und Reibungsphysik der TU Berlin entwickelt und in einer Vielzahl von Publikationen dokumentiert wurde und auf deren Grundlage der überwiegende Teil der numerischen Rechnungen dieses Buches entstanden ist.

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The Influence of Viscoelasticity on Velocity-Dependent Restitutions in the Oblique Impact of Spheres

Cited by 9 publications

References 42 publications

Method of Dimensionality Reduction in Contact Mechanics and Friction: A User’s Handbook. Iii. Viscoelastic Contacts

Method of Dimensionality Reduction in Contact Mechanics and Friction: A User’s Handbook. Iii. Viscoelastic Contacts

Study on the Vibroimpact Response of the Particle Elastic Impact on the Metal Plate

Die Methode der Dimensionsreduktion in der Kontaktmechanik

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