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Modeling and simulation of the post-impact trajectories of particles in oblique precision shot-peening

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Abstract

The use of targeted particulate jets for surface modification in advanced manufacturing processes such as shot-peening are now becoming widespread. The degree of precision now demanded, in tightly confined workspaces, dictates that these processes undergo deeper scrutiny, refinement and optimization, in particular to avoid unintended excessive normal and tangential impact forces and re-impact from the rebounding jet on secondary surfaces. This work focuses on the building block of a particulate jet, namely the inelastic impact of a particle with a surface. The governing equations for a general three-dimensional inelastic impact with unilateral stick-slip conditions are derived, with the objective being to extract the particle and target characteristics which control the forces induced on impact and the resulting post-impact trajectories. Quantitative and qualitative analyses are performed for different types of surfaces and allows analysts to make informed decisions on the choices of parameters in jets, in order to reduce trial and error procedures.

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Notes

  1. We ignore gravity throughout the analysis. Furthermore, we will ignore any aerodynamic effects, such as drag and the Magnus effect, whereby a spinning particle with angular velocity \({\varvec{\omega }}\) and velocity \({\varvec{v}}_c\) creates unequal drag forces on the surface, since the points on the surface are traveling at unequal absolute speeds (\({\varvec{v}}_p={\varvec{v}}_{c}+{\varvec{\omega }}\times {\varvec{r}}_{c\rightarrow p}\)). We concentrate only on the instants directly before and after the impact event itself.

  2. If one assumed that the surface’s velocity was zero, we would obtain \(v_{p,n}(t+\delta t)=-v_{p,n}(t)\mathcal{E}.\)

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  1. Department of Mechanical Engineering, University of California, Berkeley, CA, 94720-1740, USA

    T. I. Zohdi

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Zohdi, T.I. Modeling and simulation of the post-impact trajectories of particles in oblique precision shot-peening. Comp. Part. Mech. 3, 533–540 (2016). https://doi.org/10.1007/s40571-015-0048-5

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  • DOI: https://doi.org/10.1007/s40571-015-0048-5

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