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A Simple Finite Element Analysis of Axisymmetrical Shell Structures  

김용희 (경남대학교 토목환경학부)
이윤성 (경남대학교 대학원)
Publication Information
Magazine of the Korean Society of Agricultural Engineers / v.45, no.2, 2003 , pp. 68-77 More about this Journal
Abstract
Shell structure are widely used in a variety of engineering application and mathematical solution of shell structures are available only for a few special cases. The solution of shell structure is more complicated when it has such condition as winker foundation, variable thickness and other problem. In this paper, a simple finite element method is presented for the analysis of axisymmetric several types of shell structure subjected to axisymmetric loads and having uniform and varying wall thickness on elastic foundation. The method is based on the analogy with a beam on elastic foundation (BEF), foundation stiffness matrix where the foundation modulus and beam flexural rigidity are replaced by appropriate parameters pertaining to the shell under considerations. The technique is attractive for implementation on a numerical solution by means of a computer program coded in FORTRAN language with a few elements. To demonstrate this fact, it gives good results which compare well with SAP2000.
Keywords
A simple finite element analysis; Beam on elastic foundation; Axisymmetrical shell structures; Foundation stiffness;
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  • Reference
1 Ghali, A. 1979. Circular storage tanks and silos. John Willy and Sons, New York, N. Y.: 15-54
2 Nam, M.. H., Pulmano, V. A., and Tin Loi, F. 1989. A simple analysis of axisymmetrically loaded circular cylindrical tanks resting on elastic foundation, Strnctural Engineering and Construaion, A. I. T. Thailand 9-15
3 Yang, T. Y. 1970. Flexible plate fini teelement on elastic foundation. Journal of the Struaure Divisi on ASCE. 96(10) : 2083-2101
4 Cho, H. Y. 1982. A finite element analysis concrete cylindrical sile on the elastic foundation. Research Review of Pusan National Univ. 4: 295-307
5 Popov Egor. P., Penzien Joseph. and Lu Zung- AN.1964. finite elem ent solution for axisymmetrical shells' Journal of the Engineering Mechanics Division, ASCE. (90) 5
6 Thevendram, V. 1986. A numerical approach to the analysis of circular cylindrical water tanks, Computer and Structures, (23): 379-383   DOI   ScienceOn
7 Stephen, P. Timoshenko, S. woino sky-Krieger. 1959. The theory of p1 ate and Shells. 562-608. Mcgraw -Hill
8 Grafton Peter. E., and Strome Don ald R.1963. Analysis of axisymmet rical sells by the direct stiffness method. Journal of AIAA (1)10
9 Nam, M. H. 1992. The analysis on the structure with varying cross sectional area by the finite element method. Journal of Research Inst itute of Industrial Technology 8
10 Tin Loi, F., Pulmano, V. A., and Thamb iratnam, D. 1990. B. E. F anaology for axisymmetrically loaded cylind ricai shells, Computer and Struct ures. 34(2) : 281-285
11 Rockey, K. C., Evans, H. R., Griffiths, D. W. and Nethercot, D. A1975. The finite element method. 131-176. Crosby Lockwood Staples, London
12 Hetenyi, M. 1946. Beams on elastic foundation, University of Michig an, U. S. A : 30-33
13 Pulmano, V. A, Tin Loi, F., and Thambriratnam, D., 1988. A simple analysis of cylindrical shell with Varying Wall Thickness Under axisymmetric loading, Proceeding of International Conference on trends in Structural Engineering, Manila, Philippines