24
D. B. Marghitu and D. Cojocaru
4 Conclusions
The impact with friction of a link in pure rotation is studied. For the tangential force
during the impact, a Benson friction model is selected. The coefficient of restitution is
decreasing within incident impact angle and is decreasing with the kinetic coefficient
of friction. Experimental results are needed to validate the impact model.
References
1. V. Bhatt, J. Koechling, Partitioning the parameter space according to different behaviors during
three-dimensional impacts. J. Appl. Mech. 62, 740–746 (1995)
2. C.-S. Yen, E. Wu, On the inverse problem of rectangular plates subjected to elastic impact, part
II: experimental verification and further applications. J. Appl. Mech. 62, 699–705 (1995)
3. A. Yigit, Flexural motion of a radially rotating beam attached to a rigid body. J. Sound Vibr.
121, 201–210 (1988)
4. A. Yigit, On the use of an elastic-plastic contact law for the impact of a single flexible link. J.
Dyn. Syst. Meas. Control 117, 527–533 (1995)
5. D.B. Marghitu, Y. Hurmuzlu, Three-dimensional rigid-body collisions with multiple contact
points. J. Appl. Mech. 62, 725–732 (1995)
6. W.J. Stronge, Chain reaction from impact on coaxial multibody systems. J. Appl. Mech. 67,
632–635 (2000)
7. R.M. Brach, Moments between impacting rigid bodies. J. Mech. Des. 103, 812–817 (1981)
8. R.M. Brach, Friction, restitution, and energy loss in planar collisions. J. Appl. Mech. 51, 164–
170 (1984)
9. R.M. Brach, Rigid body collisions. J. Appl. Mech. 56, 133–138 (1989)
10. T.R. Kane, P.W. Likins, D.A. Levinson, Spacecraft Dynamics (McGraw-Hill, New York, 1983)
11. T.R. Kane, D.A. Levinson, Dynamics: Theory and Applications (McGraw-Hill, New York,
1985)
12. Y. Wang, M.T. Mason, Two-dimensional rigid-body collisions with friction. J. Appl. Mech. 59,
635–642 (1992)
13. L. Johansson, A. Klarbring, Study of frictional impact using a nonsmooth equations solver. J.
Appl. Mech. 67, 267–273 (2000)
14. E. Pennestri et al., Review and comparison of dry friction force models. Nonlinear Dyn. 83,
1785–1801 (2016)
15. R.L. Jackson, I. Green, A finite element study of elasto-plastic hemispherical contact against
a rigid flat. ASME J. Tribol. 127(2), 343–354 (2005)
16. R.L. Jackson, I. Green, D.B. Marghitu, Predicting the coefficient of restitution of impacting
elastic-perfectly plastic spheres. J. Nonlinear Dyn. 60(3), 217–229 (2010)
17. H. Gheadnia, O. Cermik, D.B. Marghitu, Experimental and theoretical analysis of the elastoplastic oblique impact of a rod with a flat. Int. J. Impact Eng. 86, 307–317 (2015)
D. B. Marghitu and D. Cojocaru
4 Conclusions
The impact with friction of a link in pure rotation is studied. For the tangential force
during the impact, a Benson friction model is selected. The coefficient of restitution is
decreasing within incident impact angle and is decreasing with the kinetic coefficient
of friction. Experimental results are needed to validate the impact model.
References
1. V. Bhatt, J. Koechling, Partitioning the parameter space according to different behaviors during
three-dimensional impacts. J. Appl. Mech. 62, 740–746 (1995)
2. C.-S. Yen, E. Wu, On the inverse problem of rectangular plates subjected to elastic impact, part
II: experimental verification and further applications. J. Appl. Mech. 62, 699–705 (1995)
3. A. Yigit, Flexural motion of a radially rotating beam attached to a rigid body. J. Sound Vibr.
121, 201–210 (1988)
4. A. Yigit, On the use of an elastic-plastic contact law for the impact of a single flexible link. J.
Dyn. Syst. Meas. Control 117, 527–533 (1995)
5. D.B. Marghitu, Y. Hurmuzlu, Three-dimensional rigid-body collisions with multiple contact
points. J. Appl. Mech. 62, 725–732 (1995)
6. W.J. Stronge, Chain reaction from impact on coaxial multibody systems. J. Appl. Mech. 67,
632–635 (2000)
7. R.M. Brach, Moments between impacting rigid bodies. J. Mech. Des. 103, 812–817 (1981)
8. R.M. Brach, Friction, restitution, and energy loss in planar collisions. J. Appl. Mech. 51, 164–
170 (1984)
9. R.M. Brach, Rigid body collisions. J. Appl. Mech. 56, 133–138 (1989)
10. T.R. Kane, P.W. Likins, D.A. Levinson, Spacecraft Dynamics (McGraw-Hill, New York, 1983)
11. T.R. Kane, D.A. Levinson, Dynamics: Theory and Applications (McGraw-Hill, New York,
1985)
12. Y. Wang, M.T. Mason, Two-dimensional rigid-body collisions with friction. J. Appl. Mech. 59,
635–642 (1992)
13. L. Johansson, A. Klarbring, Study of frictional impact using a nonsmooth equations solver. J.
Appl. Mech. 67, 267–273 (2000)
14. E. Pennestri et al., Review and comparison of dry friction force models. Nonlinear Dyn. 83,
1785–1801 (2016)
15. R.L. Jackson, I. Green, A finite element study of elasto-plastic hemispherical contact against
a rigid flat. ASME J. Tribol. 127(2), 343–354 (2005)
16. R.L. Jackson, I. Green, D.B. Marghitu, Predicting the coefficient of restitution of impacting
elastic-perfectly plastic spheres. J. Nonlinear Dyn. 60(3), 217–229 (2010)
17. H. Gheadnia, O. Cermik, D.B. Marghitu, Experimental and theoretical analysis of the elastoplastic oblique impact of a rod with a flat. Int. J. Impact Eng. 86, 307–317 (2015)