On the dynamics of a spinning top under high-frequency excitation.

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dc.contributor.author Sheheitli, Hiba
dc.date.accessioned 2018-02-07T11:44:14Z
dc.date.available 2018-02-07T11:44:14Z
dc.date.copyright 2017 en_US
dc.date.issued 2018-02-07
dc.identifier.issn 1573-269X en_US
dc.identifier.uri http://hdl.handle.net/10725/7045
dc.description.abstract We investigate the dynamics of a spinning top whose pivot point undergoes a small-amplitude high-frequency horizontal vibration. The method of direct partition of motion is used to obtain an autonomous two-degree-of-freedom system governing the leading-order slow dynamics of the top’s nutation and precession angles. We show that the fast vibration leads to loss of stability of the upright “sleeping top” equilibrium state of the spinning top. We also show the existence of two new apparent equilibrium states that correspond to special solutions in which the spinning top is locked at constant nutation with the precession angle being aligned with the direction of excitation. We refer to those as “skewed sleeping top” states. We derive the condition for which these states exist and show that they are stable. The results are verified through numerical integration of the full non-autonomous system. In addition, we illustrate how these states allow the control of the attitude of the top through slow variation of the amplitude of fast excitation. en_US
dc.language.iso en en_US
dc.title On the dynamics of a spinning top under high-frequency excitation. en_US
dc.type Article en_US
dc.description.version Published en_US
dc.title.subtitle Part II: pivot point under horizontal harmonic vibration en_US
dc.author.school SOE en_US
dc.author.idnumber 201306323 en_US
dc.author.department Industrial And Mechanical Engineering en_US
dc.description.embargo N/A en_US
dc.relation.journal Nonlinear Dynamics en_US
dc.journal.volume 90 en_US
dc.journal.issue 4 en_US
dc.article.pages 2269-2276 en_US
dc.keywords Spinning top en_US
dc.keywords Fast vibration en_US
dc.keywords High-frequency excitation en_US
dc.keywords Destabilization en_US
dc.keywords Resonance capture en_US
dc.identifier.doi http://dx.doi.org/10.1007/s11071-017-3800-y en_US
dc.identifier.ctation Sheheitli, H. (2017). On the dynamics of a spinning top under high-frequency excitation. Part II: pivot point under horizontal harmonic vibration. Nonlinear Dynamics, 90(4), 2269-2276. en_US
dc.author.email hiba.sheheitli@lau.edu.lb en_US
dc.identifier.tou http://libraries.lau.edu.lb/research/laur/terms-of-use/articles.php en_US
dc.identifier.url https://link.springer.com/article/10.1007/s11071-017-3800-y en_US
dc.author.affiliation Lebanese American University en_US

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