Advanced Steel Construction

Vol. 2, No. 1, pp. 71-86(2006)


WIND TUNNEL TESTS AND WIND-INDUCED VIBRATION ANALYSIS OF SPHERICAL DOMES

 

Zhi-hong Zhang* and Yukio Tamura

Wind Engineering Research Center, Tokyo Polytechnic University, 1583 Iiyama Atsugi Kanagawa 243-0297 Japan

*(Corresponding author: E-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.;

 Tel.: +81-46-242-9928; Fax: +81-46-242-9928)

 

DOI:10.18057/IJASC.2006.2.1.5

 

View Article   Export Citation: Plain Text | RIS | Endnote

ABSTRACT

A series of wind pressure measurements on the surfaces of spherical domes are carried out in an atmospheric boundary-layer wind tunnel. The wind pressure distributions on the surfaces of spherical domes including mean and standard deviation are presented. Effects on wind pressure distribution due to wall-height-to-span ratio and rise-to-span ratio, terrain type and Reynolds number are discussed. This study focuses on wind-induced vibration analysis. The Proper Orthogonal Decomposition (POD) technique is adopted to reconstruct the wind pressure field for reticulated spherical domes with different mesh size and shape, and compared with those obtained from a wind-tunnel test model. A new treatment of non-uniformly distributed taps is proposed. Different treatments lead to different optimal problems with different physical meanings. For mode superposition analysis of wind-induced vibration analysis, a new matrix, designated by the authors as a mode-load-correlation matrix, is proposed to determine the special mode that contributes most to the wind effects. This mode contributes most to the background response and significantly to the resonant part. The physical meaning of this matrix is the spatial distribution of structural response. The advantage is that it only takes into account the known variables in the motion equation, without any quasi-static or dynamic assumption. Finally, the application of this matrix to background response is presented.

 

KEYWORDS

Wind tunnel test; wind pressure; wind-induced vibration; spherical dome; reticulated shell; high modes effect


REFERENCES

[1]     Seiichi Taniguchi, Hiroshi Sakamoto et al., “Time-averaged aerodynamic acting on a hemisphere immersed in a turbulent flow”, International journal of wind engineering and industrial aerodynamics, 1982, 9, pp.257-273.

[2]     Toy, N., Moss, W.D. and Savory, E., “Wind tunnel studies on a dome in turbulent boundary layers”, International journal of wind engineering and industrial aerodynamics, 1983, 11, pp.201-212.

[3]     Toy, N. and Tahouri, B., “Pressure distributions on semi-cylindrical structures of different geometrical cross-sections”, International journal of wind engineering and industrial aerodynamics, 1988, 29, pp.263-272.

[4]     Newman, B.G. and Ganguli, U. “Flow over spherical inflated buildings”, International journal of wind engineering and industrial aerodynamics, 1984, 17, pp.305-327.

[5]     Cook, N.J., “The designer’s guide to wind loading of building structures. Part 1: Background, damage survey, wind data and structural classification”, Building research establishment report, 1985.

[6]     Taylor, T.J., “Wind pressures on a hemispherical dome”, International journal of wind engineering and industrial aerodynamics, 1991, 40, pp.199-213.

[7]     Hongo, T., “Experimental study of wind forces on spherical roofs”, Ph.D. thesis, Tohoku University, 1995. (In Japanese)

[8]     Yasushi Uematsu, Motohiko Yamada, Akira Inoue, Takeshi Hongo, “Wind loads and wind-induced dynamic behavior of a single-layer latticed dome”, International journal of wind engineering and industrial aerodynamics, 1997, 66, pp.227-248.

[9]     Yasushi Uematsu, Osamu Kuribara, Motohiko Yamada, Akihiro Sasaki, Takeshi Hongo, “Wind induced dynamic behavior and its load estimation of a single-layer latticed dome with a long span”, International journal of wind engineering and industrial aerodynamics, 2001, 89, pp.1671-1687.

[10]   Carassale, L., Hibi, K., Pagnini, L.C., Solari, G., Tamura, Y., “POD analysis of the dynamic wind pressure on a tall building”, BBAA V., 2004.

[11]   Seung-Hwan Jeong, B. Bienkiewicz and Hee-Jung Ham, “Proper orthogonal decompostion of building wind pressure specified at non uniformly distributed pressure taps”, Journal of wind engineering and industrial aerodynamics, 2000, 87, pp.1-14.

[12]   Zhang Zhi-hong and Yukio Tamura, “Some problems of proper orthogonal decomposition method in application to reconstruction of wind pressure field for reticulated spherical domes”, Proceedings of 10th ACWE, the tenth Americas conference on wind engineering, 31 May~4 June, 2005. Baton rouge, Louisiana, U. S. A. submitted.

[13]   Masuda, K., Nakayama, M., et al., “An efficient evaluation of wind response of dome roof through modal analysis method”, Proceeding of 13th national symp. on wind engineering, Tokyo, 1994, pp.209-214. (In Japanese)

[14]   Masanao Nakayama, Yasuhito Sasaki, Keiji Masuda, Toshiyuki Ogawa, “An efficient method for selection of vibration modes contributory to wind response on dome-like roofs”,International journal of wind engineering and industrial aerodynamics, 1998, 73, pp.31-43.

[15]   Ni, Z.H., Huang, M.K. and Xie, Z.N., “Wind-induced response of dome-like roof”, Proceedings of the third international conference on Advances in Structural Engineering and Mechanics, Seoul, Korea, Sept. 2-4, 2004, pp.763-771.

[16]   Wilson, E.L., “A new method of dynamic analysis for linear and nonlinear systems”, Finite elements in analysis and design, 1985, 1, pp.21-23.

[17]   Wilson, E.L., Yuan, M.W. and Dickens, J.M., “Dynamic analysis by direct superposition of Ritz vectors”, Earthquake engineering and structural dynamics, 1982, 10, pp.813-821.

[18]   He, Y.L. and Dong, S.L., “A new frequency domain method for wind response analysis of spatial lattice structures with mode superposition”, International Journal of Space structures, 2002, 17(1), pp.67-76.

[19]   Zhang Zhihong, Yukio Tamura, Masahiro Matsui, Yoshida Tomoya, “Wind tunnel tests and wind induced vibration analysis on spherical domes”, Proceedings of the fourth international conference on advances in steel structures, ICASS’05, 13-15 June 2005, Shanghai, China.

[20]   Li, Y.Q. and Tamura, Y., “Wind-resistant analysis for large-span single-layer reticulated shell s”, International Journal of Space Structures, 2004, 19(1), pp.47-59.

[21]   Li, Y.Q. and Tamura, Y., “Nonlinear dynamic analysis for large-span single-layer reticulated shells subjected to wind loading”, International Journal of Wind Structures, 2005, 8(1), pp.35-48.

[22]   Buresti, G., “The effects of surface roughness on the flow regime around circular cylinder”, Journal of wind engineering and industrial aerodynamics, 1981, 8, pp.105-114.

[23]   Wilson, E.L., “Three dimensional static and dynamic analysis of structures - a physical approach with emphasis on earthquake engineering”, Third edition, Computers and structures, Inc. Berkeley, California, U.S.A., 2000.

[24]   Tamura Y., Suganuma, S., Kikuchi, H. and Hibi, K., “Proper orthogonal decompostion of random wind pressure field”, Journal of fluids and structures, 1999, 13, pp.1069-1095.

[25]   Holmes, J.D., “Effective static load distribution in wind engineering”, Journal of wind engineering and industrial aerodynamics, 2002, 90, pp.91-99.