o:30036 Rigid body coupled rotation around no intersecting axes en 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. Keywords: Rigid body, coupled rotation, dynamics, rotor 1552099 10.1016/j.ijnonlinmec.2014.11.001 1552101 0020-7462 2023-06-05T14:20:37.270Z 44 no 46 Ljiljana Veljović Aleksandar Radakovic Državni univerzitet u Novom Pazaru person 62932233 0000-0002-7355-7403 Dragan Milosavljević person 0000-0001-9144-5416 Gordana Bogdanović person application/pdf 179997 https://phaidrabg.bg.ac.rs/o:30036 no yes 1 70 92000001 20A01 INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS 73 1 100 107 2015