It has been observed that balls pressed between elastic bodies spin when subjected to linear, cyclic motion. This paper proposes an explanation to this phenomenon, based upon the stick-slip theory. To this end, a modified, vectorial formulation of the stick-slip theory is presented. The formulation is applied to a model comprising a ball pressed between pairs of springs and dampers. A computer program based on this formulation is used to predict the resulting motion. Predictions are shown to agree with experimental results. [S0021-8936(01)00701-2]
Issue Section:
Technical Papers
1.
Edelstein, E., 1993, “Rotation of a Spherical Ball Clamped Between Spherical Cavities Due to Linear Reciprocating Motion,” Ph.D. dissertation, Technion, Haifa.
2.
Kane, T. R., and Levinson, D. A., 1985, Dynamics: Theory and Application, McGraw-Hill, New York.
3.
Synnestvedt
, R. G.
, 1996
, “An Effective Method for Modeling Stiction in Multibody Dynamic Systems
,” ASME J. Dyn. Syst., Meas., Control
, 118
, pp. 172
–176
.4.
Hsien-I
, Y.
, and Jeng-Hong
, H.
, 1995
, “The Influence of Friction-Speed Relation on the Occurrence of Stick-Slip Motion
,” ASME J. Tribol.
, 117
, pp. 450
–455
.5.
Huston, R. L., Passerello, C., Winget, J. M., and Sears, J., 1979, “On the Dynamics of a Weighted Bowling Ball,” Paper No. 79-WA/APM-17, ASME Winter Annual Meeting, Dec. 2–7, New York.
6.
Kane
, T. R.
, and Levinson
, D. A.
, 1978
, “A Realistic Solution of the Symmetric Top Problem
,” ASME J. Appl. Mech.
, 45
, pp. 903
–909
.7.
Karnopp
, D.
, 1985
, “Computer Simulation of Stick-Slip Friction in Mechani-cal Dynamic Systems
,” ASME J. Dyn. Syst., Meas., Control
, 107
, pp. 100
–103
.8.
Southward
, S. C.
, Radcliff
, C. J.
, and MacCluer
, C. R.
, 1991
, “Robust Nonlinear Stick-Slip Friction Compensation
,” ASME J. Dyn. Syst., Meas., Control
, 113
, pp. 639
–645
.9.
Jia-Yush
, Y.
, Chih-Jung
, H.
, and Shu-Shung
, L.
, 1997
, “Stability of PDF Controller With Stick-Slip Friction Device
,” ASME J. Dyn. Syst., Meas., Control
, 119
, pp. 486
–490
.10.
Tan
, X.
, and Rogers
, R. J.
, 1998
, “Simulation of Friction in Multi-degree of Freedom Vibration Systems
,” ASME J. Dyn. Syst., Meas., Control
, 120
, pp. 144
–146
.11.
Han
, I.
, Gilmore
, B. J.
, and Ogot
, M. M.
, 1993
, “The Incoporation of Arc Boundaries and Stick/Slip Friction in a Rule-Based Simulation Algorithm for Dynamic Mechanical Systems with Changing Topologies
,” ASME J. Mech. Des.
, 115
, pp. 423
–434
.12.
Pfeiffer
, F.
, 1996
, “Complementary Problems of Stick-Slip Vibrations
,” ASME J. Vibr. Acoust.
, 118
, pp. 177
–183
.13.
Djerassi
, S.
, 1999
, “Dynamical Analysis of Systems with Varying Constraints
,” ASME J. Appl. Mech.
, 66
, pp. 786
–793
.Copyright © 2000
by ASME
You do not currently have access to this content.
