Elastoplastic Normal Impact Dissipation Model of Two Particles

The coefficient of restitution and the energy dissipation during the impact of the steel ball with liner in a tumbling ball mill was addressed. Critical speed ranged from 76 to 88% was concerned, and numerical solution using the finite element method for steel ball impacting with liner was investigated. Results indicated that the coefficient of restitution and impulse ratio increase in proportion to the critical speed increasing. Moreover, the contact force-displacement response is obtained and divided into two stages: elastic-plastic compression stage and elastic restitution stage. By representing the energy dissipation during collision, the encompassed area by the elastic-plastic compression stage and the elastic restitution stage decreases with the critical speed increasing. Finally, the kinetic energy loss ratio is given to quantitative represent the energy dissipation. It is shown that the kinetic energy loss ratio is inversely proportional to the critical speed.

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“…In the case of the steel ball impacting with liner, R* = R 1 , m* = m 1 . Substituting (8), the initiate yield velocity is obtained.…”

Section: Elastic-plastic Contact Modelmentioning

confidence: 99%

Energy dissipation during the impact of steel ball with liner in a tumbling ball mill

Peng

Zhu

et al. 2015

Materials Research Innovations

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“…Jamari and Schipper [29] put forward to an elastic-plastic contact model of ellipsoid bodies and studied the relationship of the contact parameters. Du and Wang [30] established a piecewise mechanical model of elastoplastic impact between two particles and simulated its impact process by using the finite element method. Vu-Quoc et al [31] presented the data obtained from numerical experiments and established the normal and tangential elastoplastic force-displacement (FD) models in the impact of 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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Foreign object damage characteristics of a thin nickel-based superalloy plate at room and high temperatures

Yang,

Liu

et al. 2024

Thin-Walled Structures

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Elastoplastic Normal Impact Dissipation Model of Two Particles

Cited by 5 publications

References 2 publications

Energy dissipation during the impact of steel ball with liner in a tumbling ball mill

Energy dissipation during the impact of steel ball with liner in a tumbling ball mill

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

Foreign object damage characteristics of a thin nickel-based superalloy plate at room and high temperatures

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