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

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Abstract

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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Authors and Affiliations

  1. Department of Mechanical Engineering, Transilvania University of Brasov, 500093, Brasov, Romania

    S. Vlase & M. L. Scutaru

  2. Department of Mathematics and Computer Science, Transilvania University of Brasov, 500093, Brasov, Romania

    M. Marin

  3. Faculty of Mechanical Engineering, Esslingen University of Applied Sciences, 73728, Esslingen, Germany

    A. Öchsner

Authors
  1. S. Vlase
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  2. M. Marin
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  3. A. Öchsner
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  4. M. L. Scutaru
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Correspondence to M. Marin.

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Communicated by Andreas Öchsner.

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Vlase, S., Marin, M., Öchsner, A. et al. Motion equation for a flexible one-dimensional element used in the dynamical analysis of a multibody system. Continuum Mech. Thermodyn. 31, 715–724 (2019). https://doi.org/10.1007/s00161-018-0722-y

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  • DOI: https://doi.org/10.1007/s00161-018-0722-y

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