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

Djekine; Guy Edgar Ntamack; Claude Armand Moubeke; Sylvain Eric Kelmamo Sallaboui; Sâad Charif D’Ouazzane

doi:doi:10.11648/j.ajma.20140202.12

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

Djekine, Guy Edgar Ntamack, Claude Armand Moubeke, Sylvain Eric Kelmamo Sallaboui, Sâad Charif D’Ouazzane

Published in American Journal of Mechanics and Applications (Volume 2, Issue 2)

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), 2024. 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.

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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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TY  - JOUR
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
PY  - 2014
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
SP  - 10
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

Djekine

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

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

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

Groupe de Mécanique et des Matériaux, GMM, Département de Physique, Faculté des Sciences, Université de Ngaounderé, B.P. 454 Ngaoundéré - Cameroun
Sâad Charif D’Ouazzane

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Plain Text BibTeX RIS

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}
}

Copy | Download

TY  - JOUR
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
PY  - 2014
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
SP  - 10
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
IS  - 2
ER  -

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