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Wind-Induced Response and Equivalent Static Wind Load of Long-Span Roof Structures by Combined Ritz-Proper Orthogonal Decomposition Method
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.
Wind-Induced Response and Equivalent Static Wind Load of Long-Span Roof Structures by Combined Ritz-Proper Orthogonal Decomposition Method
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.
Wind-Induced Response and Equivalent Static Wind Load of Long-Span Roof Structures by Combined Ritz-Proper Orthogonal Decomposition Method
Yang, Qingshan (author) / Chen, Bo (author) / Wu, Yue (author) / Tamura, Yukio (author)
Journal of Structural Engineering ; 139 ; 997-1008
2013-05-15
122013-01-01 pages
Article (Journal)
Electronic Resource
English
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