liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Understanding Reversals of a Rattleback
Linköping University, Department of Mathematics, Mathematics and Applied Mathematics. Linköping University, Faculty of Science & Engineering.
University of Zielona Gora, Poland.
2017 (English)In: Regulârnaâ i haoticeskaâ dinamika, ISSN 1560-3547, E-ISSN 1468-4845, Vol. 22, no 4, 368-385 p.Article in journal (Refereed) Published
Abstract [en]

A counterintuitive unidirectional (say counterclockwise) motion of a toy rattleback takes place when it is started by tapping it at a long side or by spinning it slowly in the clockwise sense of rotation. We study the motion of a toy rattleback having an ellipsoidal-shaped bottom by using frictionless Newton equations of motion of a rigid body rolling without sliding in a plane. We simulate these equations for tapping and spinning initial conditions to see the contact trajectory, the force arm and the reaction force responsible for torque turning the rattleback in the counterclockwise sense of rotation. Long time behavior of such a rattleback is, however, quasi-periodic and a rattleback starting with small transversal oscillations turns in the clockwise direction.

Place, publisher, year, edition, pages
Maik Nauka/Interperiodica, 2017. Vol. 22, no 4, 368-385 p.
Keyword [en]
rattleback; rigid body dynamics; nonholonomic mechanics; numerical solutions
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-140526DOI: 10.1134/S1560354717040037ISI: 000407398500003Scopus ID: 2-s2.0-85026865145OAI: oai:DiVA.org:liu-140526DiVA: diva2:1138485
Note

Funding Agencies|National Science Center of Poland [DEC-2013/09/B/ST1/04130]; Department of Mathematics of Linkoping University

Available from: 2017-09-05 Created: 2017-09-05 Last updated: 2017-10-13Bibliographically approved

Open Access in DiVA

fulltext(2901 kB)2 downloads
File information
File name FULLTEXT01.pdfFile size 2901 kBChecksum SHA-512
9a8c45bf91e250ead760efbae263433ba52cfecd5480afa98b95ad5a634c55e14a8abe311bd2b7b155a458be6f4ba3189d018d5a70d786406a2ea00f2f98f391
Type fulltextMimetype application/pdf

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Rauch-Wojciechowski, Stefan
By organisation
Mathematics and Applied MathematicsFaculty of Science & Engineering
In the same journal
Regulârnaâ i haoticeskaâ dinamika
Control Engineering

Search outside of DiVA

GoogleGoogle Scholar
Total: 2 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 35 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf