Study of Frictional Impact Using a Nonsmooth Equations Solver-Reference-Cited by-同舟云学术

Study of Frictional Impact Using a Nonsmooth Equations Solver

Published:1999-11-01 Issue:2 Volume:67 Page:267-273
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Johansson L.¹,Klarbring A.¹

Affiliation:

1. Division of Mechanics, Department of Mechanical Engineering, Linko¨ping University, S581 83 Linko¨ping, Sweden

Abstract

In this paper a mathematical formulation and a numerical algorithm for the analysis of impact of rigid bodies against rigid obstacles are developed. The paper concentrates on three-dimensional motion using a direct approach where the impenetrability condition and Coulomb’s law of friction are formulated as equations, which are not differentiable in the usual sense, and solved together with the equations of motion and necessary kinematical relations using Newton’s method. An experiment has also been performed and compared with predictions of the algorithm, with favorable results. [S0021-8936(00)01402-1]

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/67/2/267/5466623/267_1.pdf

Reference16 articles.

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3. Brach, R. M. , 1989, “Rigid Body Collisions,” ASME J. Appl. Mech., 56, pp. 133–138.

4. Stronge, W. J. , 1990, “Rigid Body Collisions With Friction,” Proc. R. Soc. London, Ser. A, 431, pp. 169–181.

5. Walton, O. R., 1993, “Numerical Simulation of Inelastic, Frictional Particle-Particle Interactions,” Particulate Two-Phase Flow, M. C. Roco, ed., Butterworth-Heinemann, Stoneham, pp. 884–911.

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