TECHNICAL PAPERS
Dec 1, 2000

Unsymmetrically Loaded Cylindrical Tank on Elastic Foundation

Publication: Journal of Engineering Mechanics
Volume 126, Issue 12

Abstract

The analysis of axisymmetric shells of arbitrary shapes subjected to arbitrary loading has attracted considerable attention. If one considers the Fourier series of the circumference direction of loads and displacements, an axisymmetric tank subjected to a nonaxisymmetric load can be treated as a 1D problem. This paper combines the foundation and element stiffness matrices to make a circular plate element resting on an elastic foundation. This finite-element stiffness matrix is then converted into a transfer matrix to reduce the unknown quantity of the degrees of freedom of the element, no matter how many elements the shell structure has. Nonaxisymmetrically loaded cylindrical tanks resting on an elastic foundation are analyzed by the transfer matrix method. The calculated results of the proposed method to the nonaxisymmetrically loaded cylindrical tanks on an elastic foundation surprisingly reduced the degrees of freedom compared with the existing method.

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References

1.
Dunham, R. S., and Nickell, R. E. ( 1967). “Finite element analysis of axisymmetric solids with arbitrary loadings.” Interim Tech. Rep., Stanford Res. Inst., University of California, Berkeley, Calif.
2.
Grafton, P. E., and Strome, D. R. ( 1963). “Analysis of axisymmetric shell by the direct stiffness method.” J. Am. Inst. of Aeronautics and Astronautics, 1(10), 2342–2347.
3.
Ha, D. H. ( 1996). “An analysis of axisymmetric tank on elastic foundation by transfer matrix.” PhD thesis, Gyeongsang National University, Korea.
4.
Lee, K. H. ( 1998). “An analysis of axisymmetric tank subjected to nonaxisymmetric load on elastic foundation.” PhD thesis, Gyeongsang National University, Korea.
5.
Nam, M. H., Lee, K. H., Ha, D. H., and Jang, H. D. ( 1997). “An analysis of a cylindrical tank on an elastic foundation by transfer matrix and stiffness matrix.” J. CMSE, 2, 487–497.
6.
Nam, M. H., Pulmano, V. A., and Tin Loi, F. ( 1989). “A simple analysis of axisymmetrically loaded circular cylindrical tanks resting on elastic foundation.” Proc., 2nd East-Pacific Conf. on Struct. Engrg. and Constr., 9–15.
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Information & Authors

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 126Issue 12December 2000
Pages: 1257 - 1261

History

Received: Aug 26, 1999
Published online: Dec 1, 2000
Published in print: Dec 2000

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Authors

Affiliations

Prof., Dept. of Civ. Engrg., Gyeongsang Nat. Univ., Chinju, Gyeongnam, 660-701, Republic of Korea.
Asst. Prof., Dept. of Civ. Engrg., Keochang Province Coll., Keochang, Gyeongnam, 670-800, Republic of Korea.

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