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Modeling of Viscous Friction on Structures in Beams with Spherical Plain Bearings in the Plan Links

Received: 11 April 2014     Accepted: 6 May 2014     Published: 20 May 2014
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Abstract

In the calculation of structures in beams with spherical plain bearings (SBSPB) static bindings, movements are continuous, while rotations are staple to a node where a ball. is located in Dynamics, in several calculation codes, and mechanical frictions are often supposed to be neglected. In this paper, we proposed a modeling of the SBSPB which takes into account the friction during the SBSPB vibrations and also in the calculation of the degrees of freedom at the points of these structures. Hence, mathematics equations were established and their resolution by the modal method was proposed. Static analysis of the results showed that there is continuity of translations, and discontinuity of rotations in spherical nodes. In two dimensional dynamic approaches, the results obtained, are represented in the form of curves and their analysis emphasizes the influence of links bearings and viscous frictions during the vibration of the structure.

Published in American Journal of Mechanics and Applications (Volume 2, Issue 2)
DOI 10.11648/j.ajma.20140202.12
Page(s) 10-13
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2014. Published by Science Publishing Group

Keywords

Ball, Modeling, Analytical, Static, Dynamic, Structures Beams Planes

References
[1] P.H. Trompette, «Mécanique des structures par méthode des éléments finis, statique et Dynamique». Masson, Paris Milan Barcelone Bonn, 1992.
[2] J.F. Imbert, «Analyse des structures par éléments finis», 3ème édition de l’école nationale supérieure de l’aéronautique et de l’espace, 111, rue Nicolas-Vauquelin 31100 Toulouse, 1991.
[3] H. Bouabid, S. Charif d’Ouazzane, O. Fassi-Fehri, K. Zine-dine A, «Representation of swivel joints in computing tridimensional structures», 3ème Congrès de mécanique, Tétouan, Apr. 1997.
[4] G.E. Ntamack, M. Dawoua Kaoutoing, T. Beda, S. Charif D’Ouazzane. “Modeling of swivel joint in two dimensional beams frameworks”. IJST, 3, 1, 2013, p. 21-25.
[5] M. Dawoua Kaoutoing, G.E. Ntamack, K. Mansouri, T. Beda, S. Charif D’Ouazzane “Modeling of the damped oscillations of the viscous beams structures with swivel joints for harmonic mode”. IJRET, vol. 02, Issue 07, 2013, p. 151-154.
[6] R. J Guyan, «Reduction of stiffness and mass matrix», AIAA, vol. 3 p. 380, 1965.
[7] H. Oudin, «Vibrations en petites perturbations des systèmes mécaniques», 2012.
Cite This Article
  • APA Style

    Djekine, Guy Edgar Ntamack, Claude Armand Moubeke, Sylvain Eric Kelmamo Sallaboui, Sâad Charif D’Ouazzane. (2014). Modeling of Viscous Friction on Structures in Beams with Spherical Plain Bearings in the Plan Links. American Journal of Mechanics and Applications, 2(2), 10-13. https://doi.org/10.11648/j.ajma.20140202.12

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    ACS Style

    Djekine; Guy Edgar Ntamack; Claude Armand Moubeke; Sylvain Eric Kelmamo Sallaboui; Sâad Charif D’Ouazzane. Modeling of Viscous Friction on Structures in Beams with Spherical Plain Bearings in the Plan Links. Am. J. Mech. Appl. 2014, 2(2), 10-13. doi: 10.11648/j.ajma.20140202.12

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    AMA Style

    Djekine, Guy Edgar Ntamack, Claude Armand Moubeke, Sylvain Eric Kelmamo Sallaboui, Sâad Charif D’Ouazzane. Modeling of Viscous Friction on Structures in Beams with Spherical Plain Bearings in the Plan Links. Am J Mech Appl. 2014;2(2):10-13. doi: 10.11648/j.ajma.20140202.12

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  • @article{10.11648/j.ajma.20140202.12,
      author = {Djekine and Guy Edgar Ntamack and Claude Armand Moubeke and Sylvain Eric Kelmamo Sallaboui and Sâad Charif D’Ouazzane},
      title = {Modeling of Viscous Friction on Structures in Beams with Spherical Plain Bearings in the Plan Links},
      journal = {American Journal of Mechanics and Applications},
      volume = {2},
      number = {2},
      pages = {10-13},
      doi = {10.11648/j.ajma.20140202.12},
      url = {https://doi.org/10.11648/j.ajma.20140202.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajma.20140202.12},
      abstract = {In the calculation of structures in beams with spherical plain bearings (SBSPB) static bindings, movements are continuous, while rotations are staple to a node where a ball. is located in Dynamics, in several calculation codes, and mechanical frictions are often supposed to be neglected. In this paper, we proposed a modeling of the SBSPB which takes into account the friction during the SBSPB vibrations and also in the calculation of the degrees of freedom at the points of these structures. Hence, mathematics equations were established and their resolution by the modal method was proposed. Static analysis of the results showed that there is continuity of translations, and discontinuity of rotations in spherical nodes. In two dimensional dynamic approaches, the results obtained, are represented in the form of curves and their analysis emphasizes the influence of links bearings and viscous frictions during the vibration of the structure.},
     year = {2014}
    }
    

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    T1  - Modeling of Viscous Friction on Structures in Beams with Spherical Plain Bearings in the Plan Links
    AU  - Djekine
    AU  - Guy Edgar Ntamack
    AU  - Claude Armand Moubeke
    AU  - Sylvain Eric Kelmamo Sallaboui
    AU  - Sâad Charif D’Ouazzane
    Y1  - 2014/05/20
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    N1  - https://doi.org/10.11648/j.ajma.20140202.12
    DO  - 10.11648/j.ajma.20140202.12
    T2  - American Journal of Mechanics and Applications
    JF  - American Journal of Mechanics and Applications
    JO  - American Journal of Mechanics and Applications
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    EP  - 13
    PB  - Science Publishing Group
    SN  - 2376-6131
    UR  - https://doi.org/10.11648/j.ajma.20140202.12
    AB  - In the calculation of structures in beams with spherical plain bearings (SBSPB) static bindings, movements are continuous, while rotations are staple to a node where a ball. is located in Dynamics, in several calculation codes, and mechanical frictions are often supposed to be neglected. In this paper, we proposed a modeling of the SBSPB which takes into account the friction during the SBSPB vibrations and also in the calculation of the degrees of freedom at the points of these structures. Hence, mathematics equations were established and their resolution by the modal method was proposed. Static analysis of the results showed that there is continuity of translations, and discontinuity of rotations in spherical nodes. In two dimensional dynamic approaches, the results obtained, are represented in the form of curves and their analysis emphasizes the influence of links bearings and viscous frictions during the vibration of the structure.
    VL  - 2
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    ER  - 

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Author Information
  • Groupe de Mécanique et des Matériaux, GMM, Département de Physique, Faculté des Sciences, Université de Ngaounderé, B.P. 454 Ngaoundéré - Cameroun

  • Groupe de Mécanique et des Matériaux, GMM, Département de Physique, Faculté des Sciences, Université de Ngaounderé, B.P. 454 Ngaoundéré - Cameroun

  • Groupe de Mécanique et des Matériaux, GMM, Département de Physique, Faculté des Sciences, Université de Ngaounderé, B.P. 454 Ngaoundéré - Cameroun

  • Groupe de Mécanique et des Matériaux, GMM, Département de Physique, Faculté des Sciences, Université de Ngaounderé, B.P. 454 Ngaoundéré - Cameroun

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