Advantages of Filter Approaches for the Determination of Wind-Induced Response of Large-Span Roof Structures
Publication: Journal of Engineering Mechanics
Volume 143, Issue 9
Abstract
The wind-resistant design process of roof structures is a complex task due, inter alia, to the temporal-spatial distribution of fluctuating wind loading and to multimode vibration. This process can conceivably be greatly simplified in the case of availability of analytical expressions for the determination of the structural response. In this context, this paper develops analog filter approaches for the representation of wind pressure spectra on large-span roof structures. In conjunction with this representation, integrals which are determinable analytically are used to derive formulas that can be used to compute efficiently the wind-induced structural responses. For this purpose, the cross-spectral model is also approximated by the filter approach for the case of multi-degree-of-freedom roof structures. The validity and efficiency of the approaches are demonstrated by several case studies correlated with wind tunnel tests.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This study was partially financially supported by the National Natural Science Foundation of China under Grant Nos. 51478155 and 51378147. The second author would like to thank the Chinese Scholarship Council (CSC) for financial support during her visit to Rice University in Houston as a Visiting Scholar.
References
AIJ (Architectural Institute of Japan). (2006). “AIJ recommendations for loads on buildings.” Tokyo (in Japanese).
Chinese Standard. (2012). “Load code for the design of building structures.”, China Construction Industry Press, Beijing, (in Chinese).
Davenport, A. G. (1961). “Application of statistical concepts to the wind loading of structures.” Proc. Inst. Civ. Eng., 19(4), 449–472.
Davenport, A. G. (1964). “Note on the distribution of the largest value of a random function with application to gust loading.” Proc. Inst. Civ. Eng., 28(2), 187–196.
Davenport, A. G. (1967). “Gust loading factors.” J. Struct. Div., 93, 11–34.
Kareem, A., and Zhou, Y. (2003). “Gust loading factors—Past, present, and future.” J. Wind. Eng. Ind. Aerodyn., 91(12–15), 1301–1328.
Kumar, S. (1997). “Simulation of fluctuating wind pressures on low building roofs.” Ph.D. thesis, Concordia Univ., Montreal.
Li, Y. Q., Tamura, Y., Yoshida, A., Katsumura, A., and Cho, K. (2006). “Wind loading and its effects on single-layer reticulated cylindrical shells.” J. Wind Eng. Ind. Aerodyn., 94(12), 949–973.
MATLAB [Computer software]. MathWorks, Natick, MA.
Rizzo, F., and Sepe, V. (2015). “Static loads to simulate dynamic effects of wind on hyperbolic paraboloid roofs with square plan.” J. Wind. Eng. Ind. Aerodyn., 137, 46–57.
Roberts, J. B., and Spanos, P. D. (2003). Random vibration and statistical linearization, Dover Publications, Mineola, NY.
Spanos, P. D. (1986). “Filter approaches to wave kinematics approximation.” Appl. Ocean Res., 8(1), 2–7.
Spanos, P. D., and Miller, S. M. (1994). “Hilbert transform generalization of a classical random vibration integral.” J. Appl. Mech., 61(3), 575–581.
Su, N., Su, Y., Wu, Y., and Shen, S. Z. (2016). “Three-parameter auto-spectral model of wind pressure for wind-induced response analyses on large-span roofs.” J. Wind Eng. Ind. Aerodyn., 158, 139–153.
Sun, Y. (2007). “Characteristics of wind loading on long-span roofs.” Ph.D. thesis, Harbin Institute of Technology, Haerbin Shi, China.
Sun, Y., Qiu, Y., and Wu, Y. (2013). “Modeling of wind pressure spectra on spherical domes.” Int. J. Space Struct., 28(2), 87–100.
Sun, Y., Su, N., and Wu, Y. (2014). “Modeling of conical vortex induced fluctuating wind pressure spectra on large-span flat roofs.” China Civ. Eng. J., 47(1), 87–98 (in Chinese).
Sun, Y., Xu, N., and Wu, Y. (2010). “Spectral model of fluctuating wind pressure on grandstand roofs with consideration of signature turbulence.” J. Build. Struct., 31(10), 28–33 (in Chinese).
Tamura, Y., et al. (1996). “Wind load and wind-induced response estimations in the recommendations for loads on buildings, AIJ 1993.” Eng. Struct., 18(6), 399–411.
Tamura, Y., Fujii, K., and Ueda, H. (1992). “Design wind loads for beams supporting flat roofs.” J. Wind Eng. Ind. Aerodyn., 43(1–3), 1841–1852.
Uematsu, Y., Motekib, T., and Hongo, T. (2008). “Model of wind pressure field on circular flat roofs and its application to load estimation.” J. Wind Eng. Ind. Aerodyn., 96(6–7), 1003–1014.
Uematsu, Y., and Tsuruishi, R. (2008). “Wind load evaluation system for the design of roof cladding of spherical domes.” J. Wind Eng. Ind. Aerodyn., 96(10–11), 2054–2066.
Uematsu, Y., Yamada, M., and Karasu, A. (1997). “Design wind loads for structural frames of flat long-span roofs: Gust loading factor for the beams supporting roofs.” J. Wind Eng. Ind. Aerodyn., 66(1), 35–50.
Yang, Q., Chen, B., Wu, Y., and Tamura, Y. (2013). “Wind-induced response and equivalent static wind load of long-span roof structures by combined Ritz-proper orthogonal decomposition method.” J. Struct. Eng., 997–1008.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 143 • Issue 9 • September 2017
Copyright
©2017 American Society of Civil Engineers.
History
Received: Aug 15, 2016
Accepted: Jan 6, 2017
Published online: May 9, 2017
Published in print: Sep 1, 2017
Discussion open until: Oct 9, 2017
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.