Model of material removal in vibratory finishing, based on Preston’s law and discrete element method

Discrete element modeling of 3D media motion in vibratory finishing process

The application of computational fluid dynamics to vibratory finishing processes

Advanced Surface Analysis to Identify Media-Workpiece Contact Modes in a Vibratory Finishing Processes

Vibratory finishing processes are finding extensive use in multiple industries because of their ability to be able to provide a high level of surface finish. Despite their extensive applications, it is difficult to be able to develop predictive mechanism for the process, given its sensitivity to a wide range of parameters. Simultaneously, traditional computational fluid dynamics–based attempts are limited by their mesh-based Eulerian approaches from being able to simulate problems that are more complicated. Previous computational models have had limited success in correlating the roughness parameters with the predicted values. This paper extends previous research to develop a smoothed particle hydrodynamics–based Lagrangian approach to simulate key metrics of the vibratory finishing process, which can then be used to predict the surface roughness. These models were validated against experimental results from prior research as well as a new finite volume method–based model and were found to be able to provide a better model for the material removal process than previously proposed models. Finally, this research explores the effect of the various parameters on the smoothed particle hydrodynamics formulation and validates its use for simulating granular media flows.

Application of smoothed particle hydrodynamics for the simulation and analysis of vibratory finishing process

Experimental evidence and theoretical modeling suggest that piles of confined, high-restitution grains, subject to low-amplitude vibration, can serve as experimentally-accessible analogs for studying a range of liquid-state molecular hydrodynamic processes. Experiments expose single-grain and multiple-grain, collective dynamic features that mimic those either observed or predicted in molecular-scale, liquid state systems, including: (i) near-collision-time-scale hydrodynamic organization of single-molecule dynamics, (ii) nonequilibrium, long-time-scale excitation of collective/hydrodynamic modes, and (iii) long-time-scale emergence of continuum, viscous flow. In order to connect directly observable macroscale granular dynamics to inaccessible and/or indirectly measured molecular hydrodynamic processes, we recast traditional microscale equilibrium and nonequilibrium statistical mechanics for dense, interacting microscale systems into self-consistent, macroscale form. The proposed macroscopic models, which appear to be new with respect to granular physics, and which differ significantly from traditional kinetic-theory-based, macroscale statistical mechanics models, are used to rigorously derive the continuum equations governing viscous, liquid-like granular flow. The models allow physically-consistent interpretation and prediction of observed equilibrium and non-equilibrium, single-grain, and collective, multiple-grain dynamics.

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Macroscopic liquid-state molecular hydrodynamics

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Macroscopic liquid-state molecular hydrodynamics