Authors: Hedrih, Katica (Stevanović) 
Veljović, Ljiljana
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Vector rotators of rigid body dynamics with coupled rotations around axes without intersection
Journal: Mathematical Problems in Engineering
Volume: 2011
Issue Date: 24-Nov-2011
Rank: M22
ISSN: 1024-123X
DOI: 10.1155/2011/351269
Abstract: 
Vector method based on mass moment vectors and vector rotators coupled for pole and oriented axes is used for obtaining vector expressions for kinetic pressures on the shaft bearings of a rigid body dynamics with coupled rotations around axes without intersection. Mass inertia moment vectors and corresponding deviational vector components for pole and oriented axis are defined by K. Hedrih in 1991. These kinematical vectors rotators are defined for a system with two degrees of freedom as well as for rheonomic system with two degrees of mobility and one degree of freedom and coupled rotations around two coupled axes without intersection as well as their angular velocities and intensity. As an example of defined dynamics, we take into consideration a heavy gyrorotor disk with one degree of freedom and coupled rotations when one component of rotation is programmed by constant angular velocity. For this system with nonlinear dynamics, a series of tree parametric transformations of system nonlinear dynamics are presented. Some graphical visualization of vector rotators properties are presented too.
Publisher: Hindawi
Project: Dynamics of hybrid systems with complex structures. Mechanics of materials. 

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