灾害天气下大跨屋盖多模态随机离散风致响应研究
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摘要
研究了具有空间相关性随机风荷载有色噪声过程的数学模型,讨论了用随机白噪声过程滤波生成脉动风荷载的方法。高阶振型对大跨屋盖随机风致响应的贡献不可忽略。本文根据模态解耦原理并结合精细时程积分法,提出了多模态随机离散精细积分法,推导了大跨屋盖风致响应与风效应系数的计算公式。通过大跨屋盖刚性和气弹模型风洞试验,计算了屋盖随机风致动力响应时程。同时研究了大跨屋盖的荷载风效应系数和位移风效应系数的分布情况,结果与有限元分析较吻合,验证了多模态随机离散精细积分法的正确性,证实了该方法是一种简便、快速、准确的大跨屋盖风致响应计算方法。
When wind flows around long-span flexible roofs,the flexible roofs will be exist large wind-induced buffeting responses.It is found that the contribution of higher vibration modes can not be ignored in the analysis of wind-induced dynamic responses for long-span roof structures.The characteristics of the random filtered white noise excitations such as wind load and the method generating a filtered white noise vector with spatial correlation using a white noise process have been investigated in the present study.The primary purpose of the study is to develope a Multi-Modal Precise Integration Method for Random Discrete Analysis(MPIMRDA) combined with the rigid and aeroelastic model wind tunnel test to estimate the wind-induced response of long-span roofs.The distribution of gust load factor and gust displacement factor on the flexible roof surface has been studied and compared,respectively.The results agree well with the finite element method.Finally,it is found out that the multi-modal precise integration method for random discrete analysis is really a valid method with simplicity,accuracy and fast calculation speed.
When wind flows around long-span flexible roofs,the flexible roofs will be exist large wind-induced buffeting responses.It is found that the contribution of higher vibration modes can not be ignored in the analysis of wind-induced dynamic responses for long-span roof structures.The characteristics of the random filtered white noise excitations such as wind load and the method generating a filtered white noise vector with spatial correlation using a white noise process have been investigated in the present study.The primary purpose of the study is to develope a Multi-Modal Precise Integration Method for Random Discrete Analysis(MPIMRDA) combined with the rigid and aeroelastic model wind tunnel test to estimate the wind-induced response of long-span roofs.The distribution of gust load factor and gust displacement factor on the flexible roof surface has been studied and compared,respectively.The results agree well with the finite element method.Finally,it is found out that the multi-modal precise integration method for random discrete analysis is really a valid method with simplicity,accuracy and fast calculation speed.
引文
[1]孙炳楠,傅国宏,陈鸣等.9417号台风对温州民房破坏的调查[A].第七届全国结构风效应会议论文集[C],重庆,1995.
[2]YASUSHI UEMATSU,MOTOHIKO YAMADA,AKINORIKARASU.Design wind loads for structural frames of flat long-span roofs:Gust loading factor for the beams supporting roofs[J].J.Wind Eng.Ind.Aerodyn.,1997,66:35-50.
[3]YASUSHI UEMATSU,MOTOHIKO YAMADA,AKINORIKARASU.Design wind loads for structural frames of flat long-span roofs:Gust loading for a structurally integrated type[J].J.Wind Eng.Ind.Aerodyn,1997,66:155-168.
[4]YASUSHI UEMATSU,KEISUKE WATANABE,AKIHIROSASAKI,MOTOIKO YAMADA.Wind-induced dynamic re-sponse and resultant load estimation of a circular flat roof[J].J.Wind Eng.Ind.Aerodyn,1999,83:251-261.
[5]DONGYAO TAN,QINGSHAN YANG,CHEN ZHAO.Discreteanalysis method for random vibration of structures subjected tospatially correlated filtered white noise[J].Computers&Structures.1992,43(6):1051-1056.
[6]DONGYAO TAN.Discrete analysis method for random vibra-tion of structures subjected to temporally and spatially correlat-ed coloured excitations[J].Computers&Structures,1992,50(5):619-627.
[7]DONGYAO TAN.Discrete analysis method for random vibra-tion[J].Computers&Structures,1993,49(3):523-530.
[8]ZHONG WAN-XIE.On precise integration method[J].Jour-nal of Computional and Applied Mathematics,2004,163:59-78.
[9]钟万勰.结构动力方程的精细时程积分法[J].大连理工大学学报,1994,34(2):131-136.
[10]张爱社,张陵,周进雄.高耸结构驰振临界风速分析的精细时程积分法[J].工程力学,2004,21(1):98-101.
[11]杨庆山,沈世钊.悬索结构随机风振反应分析[J].建筑结构学报,1998,19(4):29-39.
[12]瞿伟廉.高层建筑和高耸结构的风振控制设计[M].武汉测绘科技大学出版社,1991.
[13]布占宇,楼文娟,唐锦春等.台风致窗户破坏时大跨度屋面风振响应研究[J].工程力学,2004,21(2):69-75.
[14]陆锋.大跨度平屋面结构的风振响应和风振系数研究[D].[博士学位论文],杭州:浙江大学,2001.
[15]张相庭.结构风压和风振计算[M].同济大学出版社出版,1985年5月.
[16]庄表中,王行新.随机振动概论[M],地震出版社,1982.
[2]YASUSHI UEMATSU,MOTOHIKO YAMADA,AKINORIKARASU.Design wind loads for structural frames of flat long-span roofs:Gust loading factor for the beams supporting roofs[J].J.Wind Eng.Ind.Aerodyn.,1997,66:35-50.
[3]YASUSHI UEMATSU,MOTOHIKO YAMADA,AKINORIKARASU.Design wind loads for structural frames of flat long-span roofs:Gust loading for a structurally integrated type[J].J.Wind Eng.Ind.Aerodyn,1997,66:155-168.
[4]YASUSHI UEMATSU,KEISUKE WATANABE,AKIHIROSASAKI,MOTOIKO YAMADA.Wind-induced dynamic re-sponse and resultant load estimation of a circular flat roof[J].J.Wind Eng.Ind.Aerodyn,1999,83:251-261.
[5]DONGYAO TAN,QINGSHAN YANG,CHEN ZHAO.Discreteanalysis method for random vibration of structures subjected tospatially correlated filtered white noise[J].Computers&Structures.1992,43(6):1051-1056.
[6]DONGYAO TAN.Discrete analysis method for random vibra-tion of structures subjected to temporally and spatially correlat-ed coloured excitations[J].Computers&Structures,1992,50(5):619-627.
[7]DONGYAO TAN.Discrete analysis method for random vibra-tion[J].Computers&Structures,1993,49(3):523-530.
[8]ZHONG WAN-XIE.On precise integration method[J].Jour-nal of Computional and Applied Mathematics,2004,163:59-78.
[9]钟万勰.结构动力方程的精细时程积分法[J].大连理工大学学报,1994,34(2):131-136.
[10]张爱社,张陵,周进雄.高耸结构驰振临界风速分析的精细时程积分法[J].工程力学,2004,21(1):98-101.
[11]杨庆山,沈世钊.悬索结构随机风振反应分析[J].建筑结构学报,1998,19(4):29-39.
[12]瞿伟廉.高层建筑和高耸结构的风振控制设计[M].武汉测绘科技大学出版社,1991.
[13]布占宇,楼文娟,唐锦春等.台风致窗户破坏时大跨度屋面风振响应研究[J].工程力学,2004,21(2):69-75.
[14]陆锋.大跨度平屋面结构的风振响应和风振系数研究[D].[博士学位论文],杭州:浙江大学,2001.
[15]张相庭.结构风压和风振计算[M].同济大学出版社出版,1985年5月.
[16]庄表中,王行新.随机振动概论[M],地震出版社,1982.
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