Continuum Mechanics and Thermodynamics

, Volume 31, Issue 3, pp 715–724 | Cite as

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

  • S. Vlase
  • M. MarinEmail author
  • A. Öchsner
  • M. L. Scutaru
Original Article


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.


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


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringTransilvania University of BrasovBrasovRomania
  2. 2.Department of Mathematics and Computer ScienceTransilvania University of BrasovBrasovRomania
  3. 3.Faculty of Mechanical EngineeringEsslingen University of Applied SciencesEsslingenGermany

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