application/pdf 179997 bytes INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS 73(1) Veljović, Ljiljana Radakovic, Aleksandar Milosavljević, Dragan Bogdanović, Gordana Abstract: In this paper rigid body dynamic with coupled rotation around axes that are not intersecting is described by vectors connected to the pole and the axis. These mass moment vectors are defined by K. Hedrih. Dynamic equilibrium of rigid body dynamics with coupled rotations is described by vector equations. Also, they are used for obtaining differential equations to the rotor dynamics. In the case where one component of rotation is programmed by constant angular velocity, the non-linear differential equation of the system dynamics in the gravitational field is obtained and so is the corresponding equation of the phase trajectory. Series of phase trajectory transformations in relation with changes of some parameters of rigid body are presented. info:eu-repo/semantics/article Keywords: Rigid body, coupled rotation, dynamics, rotor https://phaidrabg.bg.ac.rs/o:30036 doi:10.1016/j.ijnonlinmec.2014.11.001 ISSN: 0020-7462 eng 2015 All rights reserved Rigid body coupled rotation around no intersecting axes