Wind-Induced Response and Equivalent Static Wind Load of Long-Span Roof Structures by Combined Ritz-Proper Orthogonal Decomposition Method
Publication: Journal of Structural Engineering
Volume 139, Issue 6
Abstract
The contribution of higher vibration modes is important to the wind-induced response of long-span roofs, which makes it difficult to estimate the wind-induced response and equivalent static wind loads accurately. The authors have studied this topic for a number of years, and some research results are presented. The Ritz-proper orthogonal decomposition method for choosing dominant modes of the wind-induced response is proposed. Eigenvectors of fluctuating wind pressure obtained from the proper orthogonal decomposition are regarded as the spatial distribution of the load to generate Ritz vectors. The background and resonant response are redefined on the basis of the modal acceleration method, and a method is proposed to calculate the correlation coefficient between the background and the resonant responses. Target responses are expressed as the linear combination of basis vectors, which are the dominant eigenmodes of wind pressure and structural vibration modes representing the background and the resonant responses, respectively. The combination factors of these basis vectors are determined with the least-squares approximation method. As a case study, these methods are applied in a single-layer reticular shell.
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Acknowledgments
This research is supported by National Natural Science Foundation of China, 111 Project (Grant No. B13002) in China, and the Fundamental Research Funds for the Central Universities (Grant No. 2010JBZ011).
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Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 139 • Issue 6 • June 2013
Pages: 997 - 1008
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Feb 7, 2012
Accepted: Aug 30, 2012
Published online: May 15, 2013
Published in print: Jun 1, 2013
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