Rattleback: Difference between revisions

Revision as of 05:18, 14 September 2024

Revision as of 13:56, 2 November 2024

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Other ways to add motion to a rattleback include tapping by pressing down momentarily on either of its ends, and rocking by pressing down repeatedly on either of its ends.

For a comprehensive analysis of rattleback's motion, see V.Ph. Zhuravlev and D.M. Klimov (2008).<ref>{{cite journal |firstfirst1=V.Ph. |lastlast1=Zhuravlev |first2=D.M. |last2=Klimov |title=Global motion of the celt |journal=Mechanics of Solids |volume=43 |issue=3 |pages=320–7 |date=2008 |doi=10.3103/S0025654408030023 |bibcode=2008MeSol..43..320Z }}</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|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|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>{{cite journal |firstfirst1=J. |lastlast1=Awrejcewicz |first2=G. |last2=Kudra |title=Mathematical modelling and simulation of the bifurcational wobblestone dynamics |journal=Discontinuity, Nonlinearity and Complexity |volume=3 |issue=2 |pages=123–132 |date=2014 |doi=10.5890/DNC.2014.06.002 }}</ref>

==See also==

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{{reflist|25em}}

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*{{cite journal |first=Hermann |last=Bondi |title=The rigid body dynamics of unidirectional spin |journal=Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences |volume=405 |issue=1829 |pages=265–274 |date=1986 |doi=10.1098/rspa.1986.0052 |jstor=2397977 |bibcode=1986RSPSA.405..265B }}

*{{cite journal |first=A.B. |last=Pippard |title=How to make a celt or rattleback |journal=European Journal of Physics |volume=11 |issue=1 |pages=63–64 |date=1990 |doi=10.1088/0143-0807/11/1/112 }}

{{refend}}

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{{Commons category|Celtic rattlebacks}}

*Doherty, Paul. Scientific Explorations. [http://www.exo.net/~pauld/activities/sweden/spoonrattleback.html ''Spoon Rattleback''.] 2000.

*{{cite web |title=Celt Spoon |date=2002 |publisher=[[Flinn Scientific Inc.]] |url=http://www.flinnsci.com/Documents/demoPDFs/PhysicalSci/PS10440.pdf|archive-url=https://web.archive.org/web/20061214135407/http://www.flinnsci.com/Documents/demoPDFs/PhysicalSci/PS10440.pdf |archive-date=2006-12-14 }}

*Sanderson, Jonathan. Activity of the Week: [https://web.archive.org/web/20061021205047/http://www.scienceyear.com/about_sy/news/ps_176-200/ps_issue182.html#4 Rattleback].

*Simon Fraser University: [https://web.archive.org/web/20120205181113/http://www.sfu.ca/physics/ugrad/courses/teaching_resources/demoindex/mechanics/mech1q/celt.html ''Celt''.] physics demonstration. Burnaby, British Columbia, Canada.