Back
 ENG  Vol.5 No.6 , June 2013
Finite Element Modeling of Shop Built Spherical Pressure Vessels
Abstract: This work builds on an earlier work done which used global coordinates where a large number of elements were needed to form a convergence of results for shop built spherical pressure vessels. In this work area coordinates were used. Any action that leads to an inability on the part of a structure to function as intended is known as failure. This research, therefore, investigates stresses developed in a shop built carbon steel spherical storage vessels using finite element approach as the analytical tool. 3-D finite element modeling using 3-node shallow triangular element with five degrees of freedom at each node is employed. These five degrees of freedom are the essential nodal degrees of freedom without the sixth in-plane rotation. The resulting equations from finite element analysis are coded using FORTRAN 90 computer programme. Spherical storage vessels are subjected to various internal loading pressures while nodal displacements, strains and the corresponding maximum Von-mises stresses are determined. The calculated maximum Vonmises stresses are compared with the yield strength of the shell plate material. Using specified safety factor, safety internal pressures with the corresponding shell thicknesses for shop built spherical pressure vessels are determined. The finite element modeling carried out in this research can be used to predict in-service stresses, strains, and deformations of shop built spherical pressure vessels using Von-mises yield stress as the failure criteria. The results obtained were validated by analytical method and it showed there was no significant difference (P > 0.05) with values obtained through analytical method.
Cite this paper: O. Adeyefa and O. Oluwole, "Finite Element Modeling of Shop Built Spherical Pressure Vessels," Engineering, Vol. 5 No. 6, 2013, pp. 537-542. doi: 10.4236/eng.2013.56064.
References

[1]   P. E. Grafton and D. R. Strome, “Analysis of Axis-Symmetric Shells by the Direct Stiffness Method,” AIAA Journal, Vol. 1, No. 10, 1963, pp. 2342-2347. doi:10.2514/3.2064

[2]   R. E. Jones and D. R. Strome, “Direct Stiffness Method Analysis of Shells of Revolution Utilizing Curved Elements,” AIAA Journal, Vol. 4, No. 9, 1966, pp. 15191525. doi:10.2514/3.3729

[3]   C. Brebbia and J. J. Connor, “Stiffness Matrix for Shallow Rectangular Shell Element,” Journal of the Engineering Mechanics Division, Vol. 93, No. 5, 1967, pp. 4365.

[4]   G. Cantin and R. W. Clough, “A Curved Cylindrical Shell Finite Element,” AIAA Journal, Vol. 6, No. 6, 1968, pp. 1057-1062. doi:10.2514/3.4673

[5]   A. B. Sabir and A. C. Lock, “A Curved Cylindrical Shell Finite Element,” International Journal Mechanical Science, Vol. 14, No. 2, 1972, pp. 125-135. doi:10.1016/0020-7403(72)90093-8

[6]   Christchurch Convention Centre, Christchurch, 2006. http://www.contech.co.nz/uploaded/Post-tensioned%20LNG%20Storage%20Tanks.pdf

[7]   Q. S. Chen, J. Wegrezyn and V. Prasad, “Analysis of Temperature and Pressure Changes in Liquefied Natural Gas (LNG) Cryogenic Tanks,” Cryogenics, Vol. 44, No. 10, 2004, pp. 701-709. doi:10.1016/j.cryogenics.2004.03.020

[8]   S. J. Jeon, B.-M. Jin and Y.-J. Kim, “Consistent Thermal Analysis Procedure of LNG Storage Tank,” Structural Engineering and Mechanics, Vol. 25, No. 4, 2007, pp. 445-466.

[9]   B. T. Oh, S. H. Hong, Y. M. Yang, I. S. Yoon and Y. K. Kim, “The Development of KOGAS Membrane for LNG Storage Tank,” Proceedings of the 13th International Offshore and Polar Engineering Conference, Honolulu, May 25-30 2003, pp. 441-446.

[10]   M. Graczyk, T. Moan and O. Rognebakke, “Probabilistic Analysis of Characteristic Pressure for LNG Tank,” Journal of Offshore Mechanics and Arctic Engineering, Vol. 128, No. 2, 2005, pp. 128-133.

[11]   S. R. Gorlar and O. Haddad, “Finite Element Heat Transfer and Structural Analysis of a Cone-Cylinder Pressure Vessel,” International Journal of Applied Mechanics and Engineering, Vol. 12, 2007, pp. 951-963.

[12]   O. Adeyefa and O. Oluwole, “Finite Element Analysis of Von-Mises Stress Distribution in a Spherical Shell of Liquefied Natural Gas (LNG) Pressure Vessels,” Engineering, Vol. 3, 2011, pp. 1012-1017. doi:10.4236/eng.2011.310125

[13]   O. C. Zienkiewicz and R. L. Taylor, “The Finite Element Method,” 5th Edition, Vol. 2, Solid Mechanics, Butterworth-Heinemann, Oxford, 2000.

[14]   E. Reissner, “On Some Problems in Shell Theory, Proceedings of the 1st Symposium on Naval Structural Mechanics,” Stanford University, Pergaman Press Inc., New York, 1958.

[15]   W. H. Bowes and L. T. Russell, “Stress Analysis by the Finite Element Method for Practicing Engineers,” Lexington Books, Lexington, 1975.

 
 
Top