Strain-Based Finite Element Analysis of Stiffened Cylindrical Shell Roof

Attia Mousa

doi:doi:10.11648/j.ajce.20170504.15

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Strain-Based Finite Element Analysis of Stiffened Cylindrical Shell Roof

Attia Mousa

Published in American Journal of Civil Engineering (Volume 5, Issue 4)

Received: 11 June 2017 Accepted: 28 June 2017 Published: 24 July 2017

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Abstract

A new triangular cylindrical shell finite element is used to obtain an elastic linear analysis of a cylindrical shell roof. The element’s displacement fields are in terms of curvilinear coordinates, satisfy the exact requirement of rigid body modes of deformation and have five degrees of freedom at each of the three corner nodes. The efficiency of the developed element is first tested and then applied to analyze stiffened cylindrical shell roof. The results of the displacement and stress resultant along the stiffener are presented and a parametric study is carried out to find the effect of the varying geometry of the stiffener and the effect of axis rotation of the beam on the level of the internal forces.

Published in	American Journal of Civil Engineering (Volume 5, Issue 4)
DOI	10.11648/j.ajce.20170504.15
Page(s)	225-230
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), 2017. Published by Science Publishing Group

Keywords

Finite Element, Strain-Based, Cylindrical Shell, Stiffened Cylindrical Shell

References

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[4]	Bogner. F. K., Fox. R. L. and Schmit. I. A., (1967), “A cylindrical shell discrete element”, J. AIAA., 5(4), 745-750.
[5]	Cantin. G and Clough. R. W., (1968), “A curved cylindrical shell finite element” AIAA J. 16, 1057-1062.
[6]	Sabir. A. B. and Lock A. C., (1972), “A curved cylindrical shell finite element” Int. J. Mech. Sci. 14, 125-135.
[7]	Lindbergy. G. M. Cowper. G. R. and Olson. M. D., (1970), “A shallow shell finite element of triangular shape” Int. J. Solids struc. 14, 1133-1156.
[8]	Dawe. D. J., (1975), “High order triangular finite element for shell and analysis” Int. J. Solids struct. 11, 1097-1110.
[9]	Ashwell. D. G. Sabir. A. B. and Roberts T. M., (1971), “Further studies in the application of curved finite element to circular studies” Int. J. Mech. Sci. 13. 507-517.
[10]	Ashwell. D. G. and Sabir. A. B, (1972), “A new cylindrical shell finite element based on simple independent strain functions”. Int. J. Mech. Sci. 14.
[11]	Sabir. A. B., (1975), “Stiffness matrices for general deformation (out of plane and in-plane) of curved beam members based on independent strain functions”, The Maths of Finite Elements and Applications II. Academic Press. 34, 411-421.
[12]	Sabir. A. B. and Charchafchi. T. A, (1982), “Curved rectangular and general quadrilateral shell element for cylindrical shells” The Maths of Finite Elements and Applications IV. Academic Press 231-238.
[13]	Sabir. A. B., (1983), “Strain based finite for the analysis of cylinders with holes and normally intersecting cylinders”. Nuclear Eng. and Design. 76. 111-120.
[14]	Sabir. A B. (1987), “Strain based shallow spherical shell element” Proceedings Int. Conf. on the Mathematics of Finite Element and Applications, Bronel University.
[15]	El-Erris, H. F., (1994), “Behavior of hipped roof structures”, Proc. 2nd. MCE Eng., CEI, Baghdad.
[16]	El-Erris, H. F., (1995), “Effect of eccentricity of crown and edge beams on the behavior of hipped roof structures”, journal of military college of engineering, Baghdad.
[17]	Mousa. A. I. and Sabir. A. B., (1994), “Finite element analysis of fluted conical shell roof structures”. Computational structural engineering in practice. Civil Comp. Press, ISBN 0-948748-30-X pp 173-181.
[18]	Mousa. A. I., (1998), “Finite element analysis of a gable shell roof” Advances in Civil and Structural of Engineering Computing for Paretic civil-comp press, 26-268.
[19]	Mousa A. I, Aljuadi A. E, Kameshki E. Dahman, N, (2012), “New strain cylindrical rectangular finite element for the analysis of arch dam” Canadian Journal on Environment, Construction and Civil Engineering, Canada.
[20]	Mousa, A, and Djoudi, M., (2015), “A shallow shell finite element for linear and nonlinear of spherical shells “International journal of engineering and scientific, IJENS. Vol.15, Issue 05, pp 24-29.
[21]	Mousa, A. and Djoudi M, (2015), “New strain based triangular finite element for the vibration of circular cylindrical shell with oblique ends “. International journal of civil and environmental engineering, IJCEE. Vol. 15, Issue 05, pp 6-11.
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Attia Mousa. (2017). Strain-Based Finite Element Analysis of Stiffened Cylindrical Shell Roof. American Journal of Civil Engineering, 5(4), 225-230. https://doi.org/10.11648/j.ajce.20170504.15

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ACS Style

Attia Mousa. Strain-Based Finite Element Analysis of Stiffened Cylindrical Shell Roof. Am. J. Civ. Eng. 2017, 5(4), 225-230. doi: 10.11648/j.ajce.20170504.15

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AMA Style

Attia Mousa. Strain-Based Finite Element Analysis of Stiffened Cylindrical Shell Roof. Am J Civ Eng. 2017;5(4):225-230. doi: 10.11648/j.ajce.20170504.15

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@article{10.11648/j.ajce.20170504.15,
  author = {Attia Mousa},
  title = {Strain-Based Finite Element Analysis of Stiffened Cylindrical Shell Roof},
  journal = {American Journal of Civil Engineering},
  volume = {5},
  number = {4},
  pages = {225-230},
  doi = {10.11648/j.ajce.20170504.15},
  url = {https://doi.org/10.11648/j.ajce.20170504.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajce.20170504.15},
  abstract = {A new triangular cylindrical shell finite element is used to obtain an elastic linear analysis of a cylindrical shell roof. The element’s displacement fields are in terms of curvilinear coordinates, satisfy the exact requirement of rigid body modes of deformation and have five degrees of freedom at each of the three corner nodes. The efficiency of the developed element is first tested and then applied to analyze stiffened cylindrical shell roof. The results of the displacement and stress resultant along the stiffener are presented and a parametric study is carried out to find the effect of the varying geometry of the stiffener and the effect of axis rotation of the beam on the level of the internal forces.},
 year = {2017}
}

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TY  - JOUR
T1  - Strain-Based Finite Element Analysis of Stiffened Cylindrical Shell Roof
AU  - Attia Mousa
Y1  - 2017/07/24
PY  - 2017
N1  - https://doi.org/10.11648/j.ajce.20170504.15
DO  - 10.11648/j.ajce.20170504.15
T2  - American Journal of Civil Engineering
JF  - American Journal of Civil Engineering
JO  - American Journal of Civil Engineering
SP  - 225
EP  - 230
PB  - Science Publishing Group
SN  - 2330-8737
UR  - https://doi.org/10.11648/j.ajce.20170504.15
AB  - A new triangular cylindrical shell finite element is used to obtain an elastic linear analysis of a cylindrical shell roof. The element’s displacement fields are in terms of curvilinear coordinates, satisfy the exact requirement of rigid body modes of deformation and have five degrees of freedom at each of the three corner nodes. The efficiency of the developed element is first tested and then applied to analyze stiffened cylindrical shell roof. The results of the displacement and stress resultant along the stiffener are presented and a parametric study is carried out to find the effect of the varying geometry of the stiffener and the effect of axis rotation of the beam on the level of the internal forces.
VL  - 5
IS  - 4
ER  -

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Author Information

Attia Mousa

Department of Civil Engineering, University of Bahrain, Manama, Kingdom of Bahrain

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Attia Mousa. (2017). Strain-Based Finite Element Analysis of Stiffened Cylindrical Shell Roof. American Journal of Civil Engineering, 5(4), 225-230. https://doi.org/10.11648/j.ajce.20170504.15

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ACS Style

Attia Mousa. Strain-Based Finite Element Analysis of Stiffened Cylindrical Shell Roof. Am. J. Civ. Eng. 2017, 5(4), 225-230. doi: 10.11648/j.ajce.20170504.15

Copy | Download

AMA Style

Attia Mousa. Strain-Based Finite Element Analysis of Stiffened Cylindrical Shell Roof. Am J Civ Eng. 2017;5(4):225-230. doi: 10.11648/j.ajce.20170504.15

Copy | Download

@article{10.11648/j.ajce.20170504.15,
  author = {Attia Mousa},
  title = {Strain-Based Finite Element Analysis of Stiffened Cylindrical Shell Roof},
  journal = {American Journal of Civil Engineering},
  volume = {5},
  number = {4},
  pages = {225-230},
  doi = {10.11648/j.ajce.20170504.15},
  url = {https://doi.org/10.11648/j.ajce.20170504.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajce.20170504.15},
  abstract = {A new triangular cylindrical shell finite element is used to obtain an elastic linear analysis of a cylindrical shell roof. The element’s displacement fields are in terms of curvilinear coordinates, satisfy the exact requirement of rigid body modes of deformation and have five degrees of freedom at each of the three corner nodes. The efficiency of the developed element is first tested and then applied to analyze stiffened cylindrical shell roof. The results of the displacement and stress resultant along the stiffener are presented and a parametric study is carried out to find the effect of the varying geometry of the stiffener and the effect of axis rotation of the beam on the level of the internal forces.},
 year = {2017}
}

Copy | Download

TY  - JOUR
T1  - Strain-Based Finite Element Analysis of Stiffened Cylindrical Shell Roof
AU  - Attia Mousa
Y1  - 2017/07/24
PY  - 2017
N1  - https://doi.org/10.11648/j.ajce.20170504.15
DO  - 10.11648/j.ajce.20170504.15
T2  - American Journal of Civil Engineering
JF  - American Journal of Civil Engineering
JO  - American Journal of Civil Engineering
SP  - 225
EP  - 230
PB  - Science Publishing Group
SN  - 2330-8737
UR  - https://doi.org/10.11648/j.ajce.20170504.15
AB  - A new triangular cylindrical shell finite element is used to obtain an elastic linear analysis of a cylindrical shell roof. The element’s displacement fields are in terms of curvilinear coordinates, satisfy the exact requirement of rigid body modes of deformation and have five degrees of freedom at each of the three corner nodes. The efficiency of the developed element is first tested and then applied to analyze stiffened cylindrical shell roof. The results of the displacement and stress resultant along the stiffener are presented and a parametric study is carried out to find the effect of the varying geometry of the stiffener and the effect of axis rotation of the beam on the level of the internal forces.
VL  - 5
IS  - 4
ER  -

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