Rattleback: Difference between revisions

Revision as of 10:30, 3 March 2024

Revision as of 13:57, 22 March 2024

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For a comprehensive analysis of rattleback's motion, see V.Ph. Zhuravlev and D.M. Klimov (2008).<ref>V.Ph. Zhuravlev and D.M. Klimov, Global motion of the celt, ''Mechanics of Solids'', 2008, Vol. 43, No. 3, pp. 320-327.</ref> The previous papers were based on simplified assumptions and limited to studying local instability of its steady-state oscillation.

Realistic mathematical modelling of a rattleback is presented by G. Kudra and J. Awrejcewicz (2015).<ref>{{Cite journal|url=https://doi.org/10.1007/s00707-015-1353-z|title=Application and experimental validation of new computational models of friction forces and rolling resistance|first1=Grzegorz|last1=Kudra|first2=Jan|last2=Awrejcewicz|date=September 1, 2015|journal=Acta Mechanica|volume=226|issue=9|pages=2831–2848|via=Springer Link|doi=10.1007/s00707-015-1353-z|s2cid=122992413|doi-access=free}}</ref> They focused on modelling of the contact forces and tested different versions of models of friction and rolling resistance, obtaining good agreement with the experimental results.

Numerical simulations predict that a rattleback situated on a harmonically oscillating base can exhibit rich bifurcation dynamics, including different types of periodic, quasi-periodic and chaotic motions.<ref>J. Awrejcewicz, G. Kudra, Mathematical modelling and simulation of the bifurcational wobblestone dynamics, ''Discontinuity, Nonlinearity and Complexity'', 3(2), 2014, 123-132.</ref>