Motion equation for a flexible one-dimensional element used in the dynamical analysis of a multibody system

In this study, the motion equations of a one-dimensional finite element having a general three-dimensional motion together the body are established, using the Lagrange’s equations. The problem is important in technical applications of the last decades, characterized by high velocities and high appli...

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Bibliographic Details
Published in:Continuum mechanics and thermodynamics 2019-05, Vol.31 (3), p.715-724
Main Authors: Vlase, S., Marin, M., Öchsner, A., Scutaru, M. L.
Format: Article
Language:English
Subjects:
Classical and Continuum Physics
Coriolis effect
Deformation effects
Engineering Thermodynamics
Equations of motion
Finite element analysis
Finite element method
Heat and Mass Transfer
Hypotheses
Mathematical analysis
Mathematical models
Mechanical engineering
Motion stability
Multibody systems
Numerical analysis
Original Article
Physics
Physics and Astronomy
Structural Materials
Theoretical and Applied Mechanics
Three dimensional bodies
Three dimensional motion
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Summary:In this study, the motion equations of a one-dimensional finite element having a general three-dimensional motion together the body are established, using the Lagrange’s equations. The problem is important in technical applications of the last decades, characterized by high velocities and high applied loads. This leads to qualitative different mechanical phenomena (high deformations, resonance, stability), mainly due to the Coriolis effects and relative motions.
ISSN:0935-1175
1432-0959
DOI:10.1007/s00161-018-0722-y