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International Journal of Non-Linear MechanicsVolume 73, 1 July 2015, Pages 100-107

Rigid body coupled rotation around no intersecting axes(Article)

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  • aFaculty of Engineering, University of Kragujevac, Sestre Janjic 6, Kragujevac, 34000, Serbia
  • bState Universitz of Novi Pazar, Vuka KaradyicaKaradzica b, Novi Pazar, 36300, Serbia

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. © 2014 Elsevier Ltd. All rights reserved.

Author keywords

Angle of inclinationCoupled rotationsGraphical presentationsMass moment vectorsNo intersecting axes of rotationPhase trajectory

Indexed keywords

Engineering controlled terms:Differential equationsRigid structuresTrajectoriesVectors
Engineering uncontrolled termsAngle of inclinationConstant angular velocityGraphical presentationsGravitational fieldsMass momentNonlinear differential equationPhase trajectoryRigidbody dynamics
Engineering main heading:Rotation

Funding details

Funding sponsor Funding number Acronym
ON174001

  • 1

    Parts of this research were supported by the Ministry of Sciences and Technology of Republic of Serbia through Mathematical Institute SANU Belgrade Grant ON174001 Dynamics of hybrid systems with complex structures, Mechanics of materials and Faculty of Mechanical Engineering University of Niš and Faculty of Mechanical Engineering, University of Kragujevac.

  • ISSN: 00207462
  • CODEN: IJNMA
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1016/j.ijnonlinmec.2014.11.001
  • Document Type: Article
  • Publisher: Elsevier Ltd

  Veljović, L.; Faculty of Engineering, University of Kragujevac, Sestre Janjic 6, Kragujevac, Serbia
© Copyright 2018 Elsevier B.V., All rights reserved.

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