A new mathematical construction of the general nonlinear ODEs of motion in rigid body dynamics (Euler's equations)

Panayotounakos, DE; Rizou, I; Theotokoglou, EE

dc.contributor.author	Panayotounakos, DE	en
dc.contributor.author	Rizou, I	en
dc.contributor.author	Theotokoglou, EE	en
dc.date.accessioned	2014-03-01T01:34:55Z
dc.date.available	2014-03-01T01:34:55Z
dc.date.issued	2011	en
dc.identifier.issn	0096-3003	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20936
dc.subject	Abel equations of the second kind	en
dc.subject	Euler's equations	en
dc.subject	New mathematical construction	en
dc.subject	Nonlinear ODEs	en
dc.subject	Rigid body dynamics	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Abel equation	en
dc.subject.other	Euler's equation	en
dc.subject.other	Mathematical constructions	en
dc.subject.other	Nonlinear ODEs	en
dc.subject.other	Rigidbody dynamics	en
dc.subject.other	Euler equations	en
dc.subject.other	Functions	en
dc.subject.other	Integral equations	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Rigid structures	en
dc.subject.other	Ordinary differential equations	en
dc.title	A new mathematical construction of the general nonlinear ODEs of motion in rigid body dynamics (Euler's equations)	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.amc.2011.03.057	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.amc.2011.03.057	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	It is shown that the three nonlinear dynamic Euler ordinary differential equations (ODEs), concerning the motion of a rigid body free to rotate about a fixed point, are reduced, by means of a subsidiary function which is to be determined, to three Abel equations of the second kind of the normal form. Based on a recently developed mathematical construction concerning exact analytic solutions of the Abel nonlinear ODEs of the second kind, we perform a new mathematical solution for the classical dynamic Euler nonlinear ODEs. (C) 2011 Elsevier Inc. All rights reserved.	en
heal.publisher	ELSEVIER SCIENCE INC	en
heal.journalName	Applied Mathematics and Computation	en
dc.identifier.doi	10.1016/j.amc.2011.03.057	en
dc.identifier.isi	ISI:000290622200040	en
dc.identifier.volume	217	en
dc.identifier.issue	21	en
dc.identifier.spage	8534	en
dc.identifier.epage	8542	en