4.3 Article

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

Journal

CONTINUUM MECHANICS AND THERMODYNAMICS
Volume 31, Issue 3, Pages 715-724

Publisher

SPRINGER
DOI: 10.1007/s00161-018-0722-y

Keywords

Multi-body system; Finite element method; Linear elastic elements; Lagrange's equations; Three-dimensional motion; One-dimensional finite element

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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.

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