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

Abstract

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.

Energy Dissipation of Hydraulic Support Columns under Rockfall Impact Load in Steeply Dipping Coal Seams

“…The upper and lower ratios of the above parameters are the same, and the upper and lower ratios are 150%. The maximum deformation max δ , maximum impact force max P , column absorption energy W , and energy ratio of the collision process between the hexahedral rockfall and hydraulic support column can be obtained from the numerical simulation [32][33][34][35][36][37].…”

Simulation Research on Impact Contact Behavior between Coal Gangue Particle and the Hydraulic Support: Contact Response Differences Induced by the Difference in Impacted Location and Impact Material

“…The essence of the impact contact behavior between the coal gangue particle and the hydraulic support is the nonlinear contact between the particle and the metal plate plane, so the contact model based on nonlinear spring damping in Adams is applied to its definition, the normal contact force can be combined describing by the Hertz contact theory-based elastic contact force and the system damping dissipative force, as shown in Equation (13) [ 50 , 51 , 52 ]: where is the relative deformation (particle compression), is the a positive real value specifying the boundary penetration to apply the maximum damping coefficient , is the relative velocities of two bodies in contact, is the nonlinear exponent of Hertz contact force.…”

The Nonlinear Dynamic Behavior of a Particle on a Vibrating Screen Based on the Elastoplastic Contact Model

“…In the field of vibration screening, little research considers the nonlinear contact model between vibrating screens and granular materials. Yang [10] discussed the vibroimpact response of the particle elastic impact on a metal plate without vibration based on Hertz's contact model. Dong [11] discussed the dynamic behavior of a vibrating plate at high frequency by extracting the particle load based on a linear contact model.…”