单橫隔预应力撑杆柱对称与反对称屈曲的近似公式与参数分析
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摘要
基于钢结构稳定中轴心受压构件的弹性弯扭屈曲理论,对单横隔预应力撑杆柱在平面内的两种屈曲模态进行了详细的弹性屈曲理论推导和数值分析.首先根据横撑杆的等效平动弹簧刚度和等效转动弹簧刚度对单横隔预应力撑杆柱体系的力学计算模型进行简化,然后根据简化体系的平衡条件和边界条件推导出弹性屈曲方程,并拟合出单横隔预应力撑杆柱在平面内的对称与反对称弹性屈曲的近似公式,最后通过有限元软件ANSYS对单横隔预应力撑杆柱的弹性屈曲性能进行参数分析.研究表明:弹性屈曲方程与有限元模拟结果吻合良好,两者弹性屈曲荷载的最大误差不超过2%;通过1stOpt软件拟合出的单横隔预应力撑杆柱对称及反对称屈曲的近似弹性屈曲公式具有较高的精度,便于预应力撑杆柱在实际工程中的应用;弹性屈曲荷载随着横撑杆长度及直径的增大而增大.
Based on elastic flexural-torsional theory of axial compression member in steel structure stability, theoretical derivation of elastic buckling loads and numerical analysis are carried out for two types of in-plane buckling modes of single-crossarm stayed column. First, the equivalent translational spring stiffness and rotational spring stiffness are obtained according to symmetric and anti-symmetric buckling modes of singe-crossarm stayed column and its elastic support provided by the crossarm in mid-span. Then mechanical calculation models of singe-crossarm stayed column are simplified. According to equilibrium conditions and boundary conditions of the simplified structural system, elastic buckling equations are presented and the simplified design formulas of elastic buckling are fitted. In the end, the elastic buckling behavier of singe-crossarm stayed column is numerically simulated by the finite element software ANSYS, and the effects of different parameters on elastic buckling loads are studied. It is shown that the results of elastic buckling equation and finite element simulation are consistent and the maximum difference between them is less than 2%. The symmetric and antisymmetric simplified design formula of single-crossarm stayed column fitted by 1 stOpt(First Optimization) software are of high accuracy, which can provide convenience for practical application of single-crossarm stayed columns. Parametric analysis shows that elastic buckling loads increase with crossarm length extending.
Based on elastic flexural-torsional theory of axial compression member in steel structure stability, theoretical derivation of elastic buckling loads and numerical analysis are carried out for two types of in-plane buckling modes of single-crossarm stayed column. First, the equivalent translational spring stiffness and rotational spring stiffness are obtained according to symmetric and anti-symmetric buckling modes of singe-crossarm stayed column and its elastic support provided by the crossarm in mid-span. Then mechanical calculation models of singe-crossarm stayed column are simplified. According to equilibrium conditions and boundary conditions of the simplified structural system, elastic buckling equations are presented and the simplified design formulas of elastic buckling are fitted. In the end, the elastic buckling behavier of singe-crossarm stayed column is numerically simulated by the finite element software ANSYS, and the effects of different parameters on elastic buckling loads are studied. It is shown that the results of elastic buckling equation and finite element simulation are consistent and the maximum difference between them is less than 2%. The symmetric and antisymmetric simplified design formula of single-crossarm stayed column fitted by 1 stOpt(First Optimization) software are of high accuracy, which can provide convenience for practical application of single-crossarm stayed columns. Parametric analysis shows that elastic buckling loads increase with crossarm length extending.
引文
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[18]刘学春,许可冉,张爱林.高性能钢预应力撑杆柱整体稳定性能研究[J].建筑结构学报,2011,32(11):156-161.LIU Xue-chun,XU Ke-ran,ZHANG Ai-lin.Study on stability behavior of HPS-prestressed stayed column[J].Journal of Building Structures,2011,32(11):156-161.
[19]周焕廷,聂河斌,张健,等.预应力轴压撑杆钢柱高温性能试验研究与数值分析[J].建筑结构学报,2016,37(2):123-132.ZHOU Huan-ting,NIE He-bin,ZHANG Jian,et al.Experimental and numerical study on fire performance of prestressed steel stayed columns under axial compression[J].Journal of Building Structures,2016,37(2):123-132.
[20]刘迎春,李洋,张文福,等.预应力撑杆柱的有限元模拟与验证[C]∥第十七届全国现代结构工程学术研讨会论文集,2017:908-913.
[21]王新敏.ANSYS工程结构数值分析[M].北京:人民交通出版社,2007.
[2]CHU K H,BERGE S S.Analysis and design of struts with tension ties[J].Journal of the Structure Division,ASCE,1963,89(1):127-164.
[3]MAUCH H R,FELTON L P.Optimum design of columns supported by tension ties[J].Journal of the Structure Division,ASCE,1967,93(3):201-220.
[4]BELENYA E.Prestressed Load-Bearing Metal Structures(in Russian)[M].Moscow:MIR Publishers,1975.
[5]SMITH R J,ELLIS J S,McCaffrey G T.Buckling of a single-crossarm stayed column[J].Journal of the Structure Division,ASCE,1975,101(1):249-268.
[6]HATHOUT A S.Stability Analysis of Space Stayed Columns by the Finite Element Method[D].University of Windsor,1977.
[7]TEMPLE M C.Buckling of stayed columns[J].Journal of the Structure Division,ASCE,1977,103(4):839-851.
[8]HAFEZ H H,ELLIS J S,TEMPLE M C.Pretensioning of single-crossarm stayed columns[J].Journal of the Structure Division,ASCE,1979,105(2):359-375.
[9]WONG K C,TEMPLE M C.Stayed columns with initial imperfection[J].Journal of the Structure Division,ASCE,1982,108(7):1623-1640.
[10]CHAN S L,SHU G P,LZ T.Stability analysis and parametric study of prestressed stayed columns[J].Engineering Structures,2002,24(1):115-124.
[11]SAITO D,WADEE M A.Buckling behaviour of prestressed steel stayed columns with imperfections and stress limitation[J].Engineering Structures,2009,31(1):1-15.
[12]SAITO D,WADEE M A.Optimal prestressing and configuration of stayed columns[J].Structures&Buildings,2010,163(5):343-355.
[13]OSOFERO A I,WADEE M A,GARDNER L.Experimental study of critical and postbuckling behaviour of prestressed stayed columns[J].Journal of Constructional Steel Research,2012,79:226-241.
[14]OSOFERO A I,WADEE M A,GARDNER L.Numerical studies on the buckling resistance of prestressed stayed columns[J].Advances in Structural Engineering,2013,16(3):487-498.
[15]WADEE M A,GARDNER L,OSOFERO A I.Design of prestressed stayed columns[J].Journal of Constructional Steel Research,2013,80(1):287-298.
[16]郭彦林,郭宇飞.单橫隔预应力撑杆柱稳定性能研究[C]∥第四届全国预应力结构理论与工程应用学术会议论文集,2006:47-56.
[17]舒赣平,候善民,陈大好,等.内撑式预应力撑杆柱的稳定承载能力试验研究[J].建筑结构学报,2006,27(5):79-85.SHU Gan-ping,HOU Shan-min,CHEN Da-hao,et al.Experimental research on prestressed stayed columns with inner brace[J].Journal of Building Structures,2006,27(5):79-85.
[18]刘学春,许可冉,张爱林.高性能钢预应力撑杆柱整体稳定性能研究[J].建筑结构学报,2011,32(11):156-161.LIU Xue-chun,XU Ke-ran,ZHANG Ai-lin.Study on stability behavior of HPS-prestressed stayed column[J].Journal of Building Structures,2011,32(11):156-161.
[19]周焕廷,聂河斌,张健,等.预应力轴压撑杆钢柱高温性能试验研究与数值分析[J].建筑结构学报,2016,37(2):123-132.ZHOU Huan-ting,NIE He-bin,ZHANG Jian,et al.Experimental and numerical study on fire performance of prestressed steel stayed columns under axial compression[J].Journal of Building Structures,2016,37(2):123-132.
[20]刘迎春,李洋,张文福,等.预应力撑杆柱的有限元模拟与验证[C]∥第十七届全国现代结构工程学术研讨会论文集,2017:908-913.
[21]王新敏.ANSYS工程结构数值分析[M].北京:人民交通出版社,2007.