TECHNICAL PAPERS
Mar 1, 2000

Stochastic Analysis of Shape Imperfection in RC Cooling Tower Shells

Publication: Journal of Structural Engineering
Volume 126, Issue 3

Abstract

In this paper, the response variability of a reinforced concrete cooling tower shell due to shape imperfections is investigated, based on statistical stochastic analysis. In general, shape imperfections are modeled as ideal shapes, such as axisymmetric cosine shape and/or cyclic shape imperfections. However, these kinds of idealized imperfections cannot well enough represent the real shape imperfections in actual cooling tower shells. In this study, the shape imperfection of the cooling tower is assumed to be globally distributed stochastic fields rather than localized ones. The two geometrical parameters, i.e., thickness and radius, of a cooling tower shell are chosen as the spatially varying stochastic fields with predetermined statistical terms. The amount of additional responses revealed that the coefficients of variation (COVs) of stresses are larger than those of displacements, and that the additional response due to randomness in the cooling tower radius is larger than that in the shell thickness. The COVs of these two parameters show quite opposite trends. As the type of stochastic field approaches white noise, the response variability is decreased in the case of randomness in thickness, but increased in the case of radius.

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References

1.
Alexandridis, A., and Gardner, N. J. (1992). “Tolerance limits for geometric imperfections in hyperbolic cooling towers.”J. Struct. Engrg., ASCE, 118(8), 2082–2100.
2.
Al-Dabbagh, A., and Gupta, A. K. (1979). “Meridional imperfection in cooling tower design.”J. Struct. Div., ASCE, 105(6), 1089–1102.
3.
Choi, C. K., and Noh, H. C. (1996a). “Analysis of geometrically imperfect cooling tower shell considering the effect of tension stiffening of concrete.” Proc., 4th Int. Symp. on Natural Draught Cooling Towers, Balkema, Rotterdam, The Netherlands, 141–149.
4.
Choi, C. K., and Noh, H. C. (1996b). “Nonlinear analysis of cooling tower shells with cyclic shape imperfections.” Proc., 3rd Asian-Pacific Conf. on Computational Mech., Techno-Press, Taejon, Korea, Vol. 2, 1437–1443.
5.
Choi, C. K., and Noh, H. C. (1996c). “Stochastic finite element analysis of plate structures by weighted integral method.” Struct. Engrg. and Mech., 4(6), 703–715.
6.
Choi, C. K., and Noh, H. C. (1998). “The stochastic analysis of the shape imperfection of cooling tower shells.” Struct. Engrg. Worldwide (CD-ROM).
7.
Choi, C. K., and Paik, J. G. (1996). “An effective four node degenerated shell element for geometrically nonlinear analysis.” Thin-Walled Struct., 24(3), 261–283.
8.
Deodatis, G., Wall, W., and Shinozuka, M. ( 1991). “Analysis of two-dimensional stochastic systems by the weighted integral method.” P. D. Spanos, and C. A. Brebbia, eds., Computational stochastic mechanics, 395–406.
9.
Jullien, J. F., Aflak, W., and L'Huby, Y. (1994). “Cause of deformed shapes in cooling towers.”J. Struct. Engrg., ASCE, 120(5), 1471–1488.
10.
Kemp, K. O., and Croll, J. G. A. (1976). “The role of geometric imperfections in the collapse of a cooling tower.” The Struct. Engrg., London, 54(1), 33–38.
11.
Liu, K., Belytschiko, T., and Mani, A. (1986). “Probabilistic finite elements for nonlinear structural dynamics.” Comp. Methods in Appl. Mech. and Engrg., 56, 61–81.
12.
Milford, R. V., and Schnobrich, W. C. (1984). “Nonlinear behavior of reinforced concrete cooling towers.” Civ. Engrg. Studies Struct. Res. Ser., No. 514, University of Illinois.
13.
Radwanska, M., and Waszczyszyn, Z. (1995). “Buckling analysis of a cooling tower shell with measured and theoretically-modelled imperfections.” Thin-Walled Struct., 23(1–4), 107–121.
14.
“Reinforced concrete cooling tower shells—Practice and commentary.” (1985). ACI 334, American Concrete Institute, Detroit.
15.
Wall, F. J., and Deodatis, G. (1994). “Variability response functions of stochastic plane stress/strain problems.”J. Engrg. Mech., ASCE, 120(9), 1963–1982.
16.
Yamazaki, F., and Shinozuka, M. (1990). “Simulation of stochastic fields by statistical preconditioning.”J. Engrg. Mech., ASCE, 116(2), 268–287.
17.
Yamazaki, F., Shinozuka, M., and Dasgupta, G. (1988). “Neumann expansion for stochastic finite-element analysis.”J. Engrg. Mech., ASCE, 114(8), 1335–1354.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 126Issue 3March 2000
Pages: 417 - 423

History

Received: Jul 15, 1998
Published online: Mar 1, 2000
Published in print: Mar 2000

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Authors

Affiliations

Prof., Civ. Engrg. Dept., Korea Advanced Inst. of Sci. and Technol., Taejon 305-701, Korea.
Grad. Student, Civ. Engrg. Dept., Korea Advanced Inst. of Sci. and Technol., Taejon 305-701, Korea.

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