ESTONIAN ACADEMY
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Estonian Journal of Engineering

Rigid body impact models partially considering deformation; 140–155

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Authors
Svetlana Polukoshko, Janis Viba, Olga Kononova, Svetlana Sokolova

Abstract
The paper deals with the low-speed impact of rigid bodies. The elasticity and damping forces, acting on a body during the impact, depend on the physical properties of the material; in this work these forces are considered according to the Kelvin–Voigt, Bingham and Maxwell models of the medium. New models of the forces, acting during the impact, are elaborated. Numerical solutions of the equations for various impact forces are obtained.
References
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 2. Glocker, Ch. On frictionless impact models in rigid-body systems. Phil. Trans. Royal Soc. London, A, 2001, 359, 2358–2404.

doi:10.1098/rsta.2001.0857

3. Stronge, W. J. Impact Mechanics. Cambridge University Press, Cambridge, 2000.

4. Stoianovici, D. and Hurmuzlu, Y. A critical study of the applicability of rigid body collision theory. J. Appl. Mech., 1996, 63, 307–316.

5. Kecskeméthy, A. and Lange, C. Solving impact interactions using the regularized model approach. In Proc. Tenth World Congress on the Theory of Machines and Mechanisms. Oulu, 1999, 4, 1361–1366.

6. Chatterjee, A. and Ruina, A. Two interpretations of rigidity in rigid body collisions. J. Appl. Mech., 1998, 65, 894–900.

7. Chatterjee, A. and Ruina, A. A critical study of the applicability of rigid-body collision theory. Discussion. J. Appl. Mech., 1997, 64, 247–248.

8. Kozlov, V. V. and Treschev, D. V. Billiards. Genetic Introduction to Dynamics of Systems with Impacts. Moscow University Press, Moscow, 1991 (in Russian).


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