On the decoupling and solution of the Euler kinematic equations governing the motion of a Gyro

Panayotounakos, DE; Theocaris, PS

dc.contributor.author	Panayotounakos, DE	en
dc.contributor.author	Theocaris, PS	en
dc.date.accessioned	2014-03-01T01:08:05Z
dc.date.available	2014-03-01T01:08:05Z
dc.date.issued	1990	en
dc.identifier.issn	0020-7462	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10264
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0025593504&partnerID=40&md5=d9c9fdf4004c5604e8432efe51cb9d95	en
dc.subject.classification	Mechanics	en
dc.subject.other	Equations of Motion	en
dc.subject.other	Gyroscopes	en
dc.subject.other	Mathematical Techniques	en
dc.subject.other	Euler Equations	en
dc.subject.other	Kinematics	en
dc.title	On the decoupling and solution of the Euler kinematic equations governing the motion of a Gyro	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1990	en
heal.abstract	The decoupling and solution of the three strongly non-linear ordinary differential equations governing the motion of an arbitrary rigid body which is free to rotate about a fixed point (gyro) are presented. The theory developed is based on the assumption that the components of the instantaneous angular velocity are known and are smooth arbitrary functions of time. The resulting equivalent differential equation is second order with respect to the angle of the nodding motion. Furthermore, through a quantitative analysis, analytical solutions of this equation were obtained, which determine the law of motion of the gyro for some general conditions in accordance with the physical problem. Finally, two theoretical applications are investigated, the solutions of which indicate the potential value and effectiveness of the theory proposed. © 1990.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Non-Linear Mechanics	en
dc.identifier.isi	ISI:A1990DX44200002	en
dc.identifier.volume	25	en
dc.identifier.issue	4	en
dc.identifier.spage	331	en
dc.identifier.epage	341	en