Authors: Hedrih, Katica (Stevanović) 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Vector method based on mass moment vectors and vector rotators applied to rigid-body multi-coupled rotations around nonintersecting axes
Journal: International Journal of Structural Stability and Dynamics
Volume: 13
Issue: 7
Issue Date: 1-Oct-2013
Rank: M22
ISSN: 0219-4554
DOI: 10.1142/S0219455413400075
The first part of the paper contains a short review of a series of published papers in the area of system dynamics with coupled rotations as well as of a series of author's various published research results in the area of vector method based on the mass inertia moment vectors and corresponding deviational vector components and vector rotators for the pole and oriented axis, introduced and defined by K. Hedrih in 1991. The vector with principal importance is vector of the rigid body mass inertia moment at the point and for the axis oriented by the unit vector, and with a corresponding component vector of the rigid body mass deviational moment for the rotation axis through the same pole. Second part presents the vector method based on mass moment vectors and vector rotators coupled for pole and oriented nonintersecting axes in application for obtaining vector expressions for kinetic parameters of a rigid body dynamics with multi-coupled rotations around nonintersecting axes. A complete analysis of obtained vector expressions for linear momentum and angular momentum and their corresponding derivatives gives us a series of the kinematical vector rotators around the corresponding directions determined by axes of the rigid body coupled multi-rotations around nonintersecting axes. Series of the theorems are defined.
Keywords: Mass inertia moment vectors | multi-coupled rotations | nonintersecting axes | theorems | vector rotators
Publisher: World Scientific
Project: Dynamics of hybrid systems with complex structures. Mechanics of materials. 

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