基于约束加权最小二乘的多目标等效静力风荷载方法在大跨屋盖中的应用
|
摘要
为计算大跨屋盖多目标等效静力风荷载,采用约束加权最小二乘方法,设基本向量为完全三分量单目标等效静力风荷载,推导了一种完全三分量多目标等效静力风荷载方法。以一个开孔屋盖为例,进行了刚性模型测压风洞试验,研究了该屋盖的单目标和多目标等效静力风荷载。结果表明:单目标和多目标等效静力风荷载的分布形状相似,多目标等效结果大于单目标等效结果;采用单目标等效静力风荷载方法,精确等效节点的等效位移与实际位移完全相等,但其它等效节点的等效位移明显偏离实际位移,最大误差可达72.1%;而完全三分量多目标等效静力风荷载方法下的其它等效节点的等效位移与实际位移相差较小,最大误差仅为6.1%,适合大跨屋盖等效静力风荷载的多目标等效。
For determining a universal equivalent static wind load(ESWL) for multi-objects of large span roof, a new refined three components method for multi-objects is proposed by combining with constrained weighted least squares algorithms, which consists of several refined three-components ESWLs for single object as fundamental vectors. The ESWLs of opening roof are calculated by refined three components method for single object and multi-objects, and it is shown that the result of universal ESWL varied similar, but is a little bigger than that of refined three-components ESWL for single object. Through the refined three-component method for single object, the equivalent displacement of object is identical to the real displacement, but the equivalent displacements of non-objects are not equal to the real displacements, and the biggest value of deviation is 72.1%. Through the refined three-component method of universal ESWL, which is proposed by this paper, the biggest value of deviation for all equivalent objects is 6.1%. The new method is effective in the wind resistance of large span roof for universal ESWL.
For determining a universal equivalent static wind load(ESWL) for multi-objects of large span roof, a new refined three components method for multi-objects is proposed by combining with constrained weighted least squares algorithms, which consists of several refined three-components ESWLs for single object as fundamental vectors. The ESWLs of opening roof are calculated by refined three components method for single object and multi-objects, and it is shown that the result of universal ESWL varied similar, but is a little bigger than that of refined three-components ESWL for single object. Through the refined three-component method for single object, the equivalent displacement of object is identical to the real displacement, but the equivalent displacements of non-objects are not equal to the real displacements, and the biggest value of deviation is 72.1%. Through the refined three-component method of universal ESWL, which is proposed by this paper, the biggest value of deviation for all equivalent objects is 6.1%. The new method is effective in the wind resistance of large span roof for universal ESWL.
引文
[1]DAVENPORT A G.Gust loading factors[J].Journal of the structural division,1967,93(3):11-34.
[2]CHEN X,KAREEM A.Equivalent static wind loads for buffeting response of bridges[J].Journal of structural engineering,2001,127(12):1467-1475.
[3]谢壮宁,倪振华,石碧青.大跨度屋盖结构的等效静风荷载[J].建筑结构学报,2007,28(1):113-118.(XIE Zhuangning,NI Zhenhua,SHI Biqing.Equivalent static wind loads on large span roof structures[J].Journal of building structures,2007,28(1):113-118(in Chinese)).
[4]KASPERSKI M.Extreme wind load distributions for linear and nonlinear design[J].Engineering structures,1992,14(1):27-34.
[5]HOLMES J D.Effective static load distributions in wind engineering[J].Journal of wind engineering and industrial aerodynamics,2002,90(2):91-109.
[6]陈波,武岳,沈世钊.大跨度屋盖结构等效静力风荷载中共振分量的确定方法研究[J].工程力学,2007,24(1):51-55.(CHEN Bo,WU Yue,SHEN Shizhao.Study of the resonant component of equivalent static wind loads on large span roofs[J].Engineering mechanics,2007,24(1):51-55(in Chinese)).
[7]HUANG G,CHEN X.Wind load effects and equivalent static wind loads of tall buildings based on synchronous pressure measurements[J].Engineering structures,2007,29(10):2641-2653.
[8]柯世堂,葛耀君.基于一致耦合法某大型博物馆结构风致响应精细化研究[J].建筑结构学报,2012,33(3):111-117.(KE Shitang,GE Yaojun.Refined research on wind-induced response of roof structure of a large museum based on consistent coupled method[J].Journal of building structures,2012,33(3):111-117(in Chinese)).
[9]陈贤川.大跨度屋盖结构风致响应和等效风荷载的理论研究及应用[D].杭州:浙江大学,2005:100-106.(CHEN Xianchuan.Wind induced response and equivalent static wind load of long-span roof theoretical research and application[D].Hangzhou:Zhejiang University,2005:100-106(in Chinese)).
[10]HU X.Wind loading effects and equivalent static wind loading on low-rise buildings[D].Lubbock:Texas Tech University,2005:100-106.
[11]KATSUMURA A,TAMURA Y,NAKAMURA O.Universal wind load distribution simultaneously reproducing largest load effects in all subject members on large-span cantilevered roof[J].Journal of wind engineering and industrial aerodynamics,2007,95(9/11):1145-1165.
[12]梁枢果,吴海洋,郭必武,等.大跨度屋盖结构等效静力风荷载数值计算方法[J].华中科技大学学报(自然科学版),2008,36(4):25-30.(LIANG Shuguo,WU Haiyang,GUO Biwu,et al.Numerical calculation of evaluating equivalent static wind loads on long span roof structures[J].Journal of Huazhong university of scinece and technology,2008,36(4):25-30(in Chinese)).
[13]YANG Q,CHEN B.Universal equivalent static wind loads of one single-layer reticular dome[C].Valencia:Symposium of the International Association for Shell and Spatial Structures,2009:12-17.
[14]周晅毅,顾明,李刚.加权约束最小二乘法计算等效静力风荷载[J].同济大学学报(自然科学版),2010,38(10):1403-1408.(ZHOU Xuanyi,GU Ming,LI Gang.Weighted constrained least squares method for calculating equivalent static wind loads of large span roof[J].Journal of Tongji university(natural science),2010,38(10):1403-1408(in Chinese)).
[15]LI Yuanqi,WANG L,TAMURA Y,et al.Universal equivalent static wind load estimation for spatial structures based on wind-induced envelope responses[J].International journal of space structures,2009,26(2):105-116.
[16]李寿科,李寿英,孙洪鑫,等.大跨屋盖的完全三分量等效静力风荷载[J].计算力学学报,2016,33(2):194-201.(LI Shouke,LI Shouying,SUN Hongxing,et al.Refined three components method for determining equivalent static wind loads of large span roof[J].Chinese journal of computation mechanics,2016,33(2):194-201(in Chinese)).
[17]李寿科.屋盖开孔的近地空间建筑风效应及等效静力风荷载研究[D].长沙:湖南大学,2013.(LI Shouke.Study of wind effects and equivalent static wind loads on closing-ground building with roof-opening[D].Changsha:Hunan University,2013(in Chinese)).
[2]CHEN X,KAREEM A.Equivalent static wind loads for buffeting response of bridges[J].Journal of structural engineering,2001,127(12):1467-1475.
[3]谢壮宁,倪振华,石碧青.大跨度屋盖结构的等效静风荷载[J].建筑结构学报,2007,28(1):113-118.(XIE Zhuangning,NI Zhenhua,SHI Biqing.Equivalent static wind loads on large span roof structures[J].Journal of building structures,2007,28(1):113-118(in Chinese)).
[4]KASPERSKI M.Extreme wind load distributions for linear and nonlinear design[J].Engineering structures,1992,14(1):27-34.
[5]HOLMES J D.Effective static load distributions in wind engineering[J].Journal of wind engineering and industrial aerodynamics,2002,90(2):91-109.
[6]陈波,武岳,沈世钊.大跨度屋盖结构等效静力风荷载中共振分量的确定方法研究[J].工程力学,2007,24(1):51-55.(CHEN Bo,WU Yue,SHEN Shizhao.Study of the resonant component of equivalent static wind loads on large span roofs[J].Engineering mechanics,2007,24(1):51-55(in Chinese)).
[7]HUANG G,CHEN X.Wind load effects and equivalent static wind loads of tall buildings based on synchronous pressure measurements[J].Engineering structures,2007,29(10):2641-2653.
[8]柯世堂,葛耀君.基于一致耦合法某大型博物馆结构风致响应精细化研究[J].建筑结构学报,2012,33(3):111-117.(KE Shitang,GE Yaojun.Refined research on wind-induced response of roof structure of a large museum based on consistent coupled method[J].Journal of building structures,2012,33(3):111-117(in Chinese)).
[9]陈贤川.大跨度屋盖结构风致响应和等效风荷载的理论研究及应用[D].杭州:浙江大学,2005:100-106.(CHEN Xianchuan.Wind induced response and equivalent static wind load of long-span roof theoretical research and application[D].Hangzhou:Zhejiang University,2005:100-106(in Chinese)).
[10]HU X.Wind loading effects and equivalent static wind loading on low-rise buildings[D].Lubbock:Texas Tech University,2005:100-106.
[11]KATSUMURA A,TAMURA Y,NAKAMURA O.Universal wind load distribution simultaneously reproducing largest load effects in all subject members on large-span cantilevered roof[J].Journal of wind engineering and industrial aerodynamics,2007,95(9/11):1145-1165.
[12]梁枢果,吴海洋,郭必武,等.大跨度屋盖结构等效静力风荷载数值计算方法[J].华中科技大学学报(自然科学版),2008,36(4):25-30.(LIANG Shuguo,WU Haiyang,GUO Biwu,et al.Numerical calculation of evaluating equivalent static wind loads on long span roof structures[J].Journal of Huazhong university of scinece and technology,2008,36(4):25-30(in Chinese)).
[13]YANG Q,CHEN B.Universal equivalent static wind loads of one single-layer reticular dome[C].Valencia:Symposium of the International Association for Shell and Spatial Structures,2009:12-17.
[14]周晅毅,顾明,李刚.加权约束最小二乘法计算等效静力风荷载[J].同济大学学报(自然科学版),2010,38(10):1403-1408.(ZHOU Xuanyi,GU Ming,LI Gang.Weighted constrained least squares method for calculating equivalent static wind loads of large span roof[J].Journal of Tongji university(natural science),2010,38(10):1403-1408(in Chinese)).
[15]LI Yuanqi,WANG L,TAMURA Y,et al.Universal equivalent static wind load estimation for spatial structures based on wind-induced envelope responses[J].International journal of space structures,2009,26(2):105-116.
[16]李寿科,李寿英,孙洪鑫,等.大跨屋盖的完全三分量等效静力风荷载[J].计算力学学报,2016,33(2):194-201.(LI Shouke,LI Shouying,SUN Hongxing,et al.Refined three components method for determining equivalent static wind loads of large span roof[J].Chinese journal of computation mechanics,2016,33(2):194-201(in Chinese)).
[17]李寿科.屋盖开孔的近地空间建筑风效应及等效静力风荷载研究[D].长沙:湖南大学,2013.(LI Shouke.Study of wind effects and equivalent static wind loads on closing-ground building with roof-opening[D].Changsha:Hunan University,2013(in Chinese)).