Classifying dynamic behavior during three dimensional frictional rigid body impact

  • Bhatt V
  • Koechling J
  • 10

    Readers

    Mendeley users who have this article in their library.
  • 8

    Citations

    Citations of this article.

Abstract

We model and analyze three dimensional rigid body impact with Coulomb friction and Poisson restitution. The differential equations that describe the progress and outcome of the impact induce a flow in the tangent velocity space which defines the qualitatively different sliding behavior that can occur. We show that the flow patterns depend only on the inertial parameters at the point of contact. We associate each of the possible flow patterns with a distinct region in a three dimensional parameter space. By examining the mass parameters and the initial conditions, we can determine the corresponding flow pattern and the possible outcomes of the impact. The equations of motion cannot be solved in a closed form, but by analyzing the flow at the point of sticking, we can avoid instabilities in the numerical integration of the equations.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • V. Bhatt

  • J. Koechling

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free