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《Chinese Quarterly of Mechanics》 2008-03
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Application of Block Lanczos Method to Wind-induced Responses of Dome-like Roofs

WANG Zhi-kun NI Zhen-hua XIE Zhuang-ning (Department of Civil Engineering,Shantou University,Shantou 515063,China)  
A direct superposition of block Lanczos vectors to analyze wind-induced responses of large roofs was presented.The Lanczos method with application to a single initial-load vector was extended to include more general dynamic loads which may be presented as a linear combination of multiple initial- load vectors.Due to the orthogonality of vectors in the Lanczos block and the orthogonality between the Lanczos blocks,the motion equations of the roof structure were transformed into a banded-form block tridiagonal matrix.This approach provides for not only an efficient time stepping solution but also an effi- cient frequency domain solution.The initial load vectors of roof structures subjected to fluctuating wind load may be obtained using the proper orthogonal decomposition by which the fluctuating wind field was separated into a combination of principal coordinates and covariance modes,where the principal coordi- nates are only depended on time and the covariance modes are only depended upon space.Based on the wind load acquired from wind tunnel tests of a dome-like roof model,the vertical displacement responses of the roof were calculated by using block Lanczos method and traditional methods.The efficiency and ac- curacy of block Lanczos method were discussed.
【Fund】: 国家自然科学基金项目(50778108 50378052)
【CateGory Index】: TU312.1
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 SUN Xun, NI Zhen-hua, XIE Zhuang-ning (Department of Civil Engineering, Shantou University, Shantou 515063, China);Wind Induced Responses Determination of Dome Like Roof Using Lanczos Vectors Direct Superposition[J];Chinese Quarterly of Mechanics;2006-04
【Co-citations】
Chinese Journal Full-text Database 2 Hits
1 CUI Chun-yi1,SUN Zhan-qi2,ZHAO Ying-hua1,WANG Dong-sheng1,LI Shun-qun3(1.Institute of Road and Bridge Engineering,Dalian Maritime University,Dalian 116026,China;2.Postdoctoral Contribution and Practice Center,Shenzhen Municipal Engineering Design Institute,Shenzhen 518029,China;3.Department of Civil Engineering,Tianjin Institute of Urban Construction,Tianjin 300384,China);Analysis of dynamic characteristics and seismic response spectrum of three-dimensional complicated frame-supported shear wall structure[J];Journal of Dalian Maritime University;2008-04
2 Tian Yuji Yang Qingshan(Beijing Jiaotong University,Beijing 100044,China);Characteristics of wind-induced responses for Beijing National Stadium[J];China Civil Engineering Journal;2010-06
【Secondary Citations】
Chinese Journal Full-text Database 3 Hits
1 by Sun Liping and Li Libo;An Accelerated Solution for Eigenvalue Problem of Engineering Structure[J];Ship Engineering;2002-03
2 Shen Shizhao (Harbin University of Civil Engineering and Architecture);DEVELOPMENT OF LONG-SPAN STRUCTURES--A REVIEW AND PROSPECT[J];China Civil Engineering Journal;1998-03
3 Huang Mingkai Ni Zhenhua Xie Zhuangning (Department of Civil Engineering, Shantou University, Shantou, 515063, China);Analysis of Wind-Induced Response for Large-Span Dome Roofs[J];Journal of Vibration Engineering;2004-03
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