Spin reversal of a rattleback with viscous friction
- 117 Downloads
An effective equation of motion of a rattleback is obtained from the basic equation of motion with viscous friction depending on slip velocity. This effective equation of motion is used to estimate the number of spin reversals and the rattleback’s shape that causes the maximum number of spin reversals. These estimates are compared with numerical simulations based on the basic equation of motion.
Keywordsrattleback viscous friction
MSC2010 numbers70E18 70F40
Unable to display preview. Download preview PDF.
- 2.Pascal, M., Asymptotic Solution of the Equations of Motion for a Celtic Stone, Prikl. Mat. Mekh., 1983, vol. 47, no. 2, pp. 321–329 [J. Appl. Math. Mech., 1983, vol. 47, no. 2, pp. 269–276].Google Scholar
- 4.Blackowiak, A.D., Rand, R. H., and Kaplan, H., The Dynamics of the Celt with Second Order Averaging and Computer Algebra, in Proc. of the ASME DETC’97/VIB-4103, 1997.Google Scholar
- 13.Karapetyan, A.V., On Realizing Nonholonomic Constraints by Viscous Friction Forces and Celtic Stones Stability, Prikl. Mat. Mekh., 1981, vol. 45, no. 1, pp. 42–51 [J. Appl. Math. Mech., 1981, vol. 45, no. 1, pp. 30–36].Google Scholar