ON THE DECOUPLING AND THE SOLUTIONS OF THE EULER DYNAMIC EQUATIONS GOVERNING THE MOTION OF A GYROSCOPE

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	0044-2267	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10265
dc.subject	Dynamic Equation	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mechanics	en
dc.title	ON THE DECOUPLING AND THE SOLUTIONS OF THE EULER DYNAMIC EQUATIONS GOVERNING THE MOTION OF A GYROSCOPE	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/zamm.19900701103	en
heal.identifier.secondary	http://dx.doi.org/10.1002/zamm.19900701103	en
heal.language	English	en
heal.publicationDate	1990	en
heal.abstract	The decoupling and the solutions of the three strongly nonlinear ordinary dynamic differential equations, governing the motion of an arbitrary rigid body, free to rotate about a fixed point (gyro), are presented. The theory developed is based on the assumption that the instantaneous angular velocity and the moment-components are arbitrary smooth functions of the time. By a quantitative analysis, analytical solutions of the resulting differential equations were obtained under some general conditions in accordance with the physical problem. Finally, a theoretical application is investigated concerning the dynamic response of a one-axis symmetrical gyroscope subjected to an arbitrary external loading.	en
heal.publisher	AKADEMIE VERLAG GMBH	en
heal.journalName	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK	en
dc.identifier.doi	10.1002/zamm.19900701103	en
dc.identifier.isi	ISI:A1990EW80900002	en
dc.identifier.volume	70	en
dc.identifier.issue	11	en
dc.identifier.spage	489	en
dc.identifier.epage	500	en