American Journal of Civil Engineering
Volume 5, Issue 4, July 2017, Pages: 225-230
Received: Jun. 11, 2017;
Accepted: Jun. 28, 2017;
Published: Jul. 24, 2017
Views 2204 Downloads 139
Attia Mousa, Department of Civil Engineering, University of Bahrain, Manama, Kingdom of Bahrain
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.
Strain-Based Finite Element Analysis of Stiffened Cylindrical Shell Roof, American Journal of Civil Engineering.
Vol. 5, No. 4,
2017, pp. 225-230.
Grafton P. E. and Strome. D. R., (1963), “Analysis of axisymmetric shells by the direct stiffness method” AIAA. J. (1), 2342-2347.
Jones. R. E and Strome. D. R., (1966), “Direct stiffness method analysis of shells of revolution utilizing curved dements”, AIAA. J., (4), 15159-1525.
Conner. J. J. and Brcbbia, C., (1967), “Stiffness matrix for shallow rectangular shell element”. J. Eng. Mech. Div. ASCE, 93. No. EMS, 41-65.
Bogner. F. K., Fox. R. L. and Schmit. I. A., (1967), “A cylindrical shell discrete element”, J. AIAA., 5(4), 745-750.
Cantin. G and Clough. R. W., (1968), “A curved cylindrical shell finite element” AIAA J. 16, 1057-1062.
Sabir. A. B. and Lock A. C., (1972), “A curved cylindrical shell finite element” Int. J. Mech. Sci. 14, 125-135.
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.
Dawe. D. J., (1975), “High order triangular finite element for shell and analysis” Int. J. Solids struct. 11, 1097-1110.
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.
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.
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.
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.
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.
Sabir. A B. (1987), “Strain based shallow spherical shell element” Proceedings Int. Conf. on the Mathematics of Finite Element and Applications, Bronel University.
El-Erris, H. F., (1994), “Behavior of hipped roof structures”, Proc. 2nd. MCE Eng., CEI, Baghdad.
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.
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.
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.
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.
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.
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.
Mousa, A. and Kemeshki, E. (2017) “Strain based finite element for analysis of cylindrical dam”. American journal of engineering research (AJER). Vol.6. No. 2 ,pp
Omurtag, and Akoz A., (1992), “Mixed finite element formulation of eccentrically stiffened cylindrical shells”. Computers &Structures, Vol. 42, No. 5 pp 751-768.
Altman, W. and Iguti, F., (1976) “A thin cylindrical shell finite element based on a mixed formulation “. Computers & Structures. Vol. 6,149-155.