This paper presents the solution of the impact problem for a sliding/bouncing baton on flat and inclined planes subject to surface friction. The baton is assumed to have unilaterally constrained motion, which means one end slides on the ground while the other end collides with the ground. We use the impulse momentum approach and incorporate the impulse correlation ratio (ICR) hypothesis to solve the ground impact problem when the system has unilaterally constrained dynamics. Parametric investigations were carried out to examine the effect of the baton’s length and the inclined surface slope angle on the impulse correlation ratio. Numerical simulation and experiments were carried out to validate the model.
Issue Section:
Research Papers
References
1.
Gharib
, M.
, Celik
, A.
, and Hurmuzlu
, Y.
, 2011, “Shock Absorption Using Linear Particle Chains With Multiple Impacts
,” ASME J. Appl. Mech.
, 73
, p. 031005
.2.
Yilmaz
, C.
, Gharib
, M.
, and Hurmuzlu
, Y.
, 2009, “Solving Frictionless Rocking Block Problem With Multiple Impacts
,” Proc. R. Soc. A
, 465
, pp. 3323
–3339
.3.
Liu
, C.
, Zhao
, Z.
, and Brogliato
, B.
, 2009, “Frictionless Multiple Impacts in Multibody Systems: Part II. Numerical Algorithm and Simulation Results
,” Proc. R. Soc. A
, 265
, pp. 1
–23
.4.
Johansson
, L.
, 2001, “A Newton Method for Rigid Body Frictional Impact With Multiple Simultaneous Impact Points
,” Comput. Methods Appl. Mech. Eng.
, 191
, pp. 239
–254
.5.
Omata
, T.
, and Nagata
, K.
, 2000, “Rigid Body Analysis of the Indeterminate Grasp Force in Power Grasps
,” IEEE Trans. Rob. Autom.
, 16
, pp. 46
–54
.6.
Dorbolo
, S.
, Volfson
, D.
, Tsimring
, L.
, and Kudrolli
, A.
, 2005, “Dynamics of a Bouncing Dimer
,” Phys. Rev. Lett.
, 95
, p. 044101
.7.
Liu
, C.
, Zhao
, Z.
, and Brogliato
, B.
, 2008, “Variable Structure Dynamics in a Bouncing Dimer
,” INRIA Res. Rep. No. 6718.8.
Liu
, C.
, Zhao
, Z.
, and Brogliato
, B.
, 2009, “Planar Dynamics of a Rigid Body System With Frictional Impacts. II. Qualitative Analysis and Numerical Simulations
,” Proc. R. Soc. A
, 465
, pp. 2267
–2292
.9.
Tavakoli
, A.
, and Hurmuzlu
, Y.
, 2009, “Gravity Powered Locomotion and Active Control of Two Simple Systems
,” Proceedings of ASME Dynamics and Control Conference (DSCC 2009)
, October 12–14, Hollywood, CA, Paper No. DSCC2009-Ib4i9, http://dx.doi.org/10.1115/DSCC2009-2699http://dx.doi.org/10.1115/DSCC2009-2699.10.
Ceanga
, V.
, and Hurmuzlu
, Y.
, 2001, “A New Look at an Old Problem: Newton’s Cradle
,” ASME J. Appl. Mech.
, 68
, pp. 575
–583
.11.
Darboux
, G.
, 1880, “Etude Gomtrique sur les Percussions et le Choc des Corps
,” Bull. Sci. Math. Astron.
4
, pp. 126
–160
. Available at: http://www.numdam.org/numdam-bin/item?id=BSMA_1880_2_4_1_126_1http://www.numdam.org/numdam-bin/item?id=BSMA_1880_2_4_1_126_1.12.
13.
Brogliato
, B.
, 1999, Nonsmooth Mechanics
, Springer
, London
.14.
Bowling
, A.
, Flickinger
, D. M.
, and Hrmeyer
, S.
, 2009, “Energetically Consistent Simulation of Simultaneous Impacts and Contacts in Multibody Systems With Friction
,” Multibody Syst. Dyn.
, 22
, pp. 27
–45
.15.
Flickinger
, D. M.
, and Bowling
, A.
, 2010, “Simultaneous Oblique Impacts and Contacts in Multibody Systems With Friction
,” Multibody Syst. Dyn.
, 23
, pp. 249
–261
.16.
Stronge
, W. J.
, 1990, “Rigid Body Collisions With Friction
,” Proc. R. Soc. A
, 431
, pp. 169
–181
.Copyright © 2012
by American Society of Mechanical Engineers
You do not currently have access to this content.
