冷成型单角钢轴压杆稳定性能研究
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摘要
随着我国经济的飞速发展，钢结构冷弯薄壁型钢结构在建筑中应用越来越多，冷成型角钢构件是钢结构中的一类重要构件，它具有易安装和连接方便的优点广泛应用于塔结构、格构柱、桁架结构及支撑等结构。
本文运用非线性有限元法对冷成型单角钢的稳定性能进行了研究，分析了宽厚比对冷成型单角钢轴压杆稳定性能的影响，给出了等边冷弯角钢发生弯曲屈曲和弯扭屈曲的判断条件，根据ANSYS有限元的计算结果拟合出了冷成型单角钢轴压杆在发生弯曲屈曲以及在发生弯扭屈曲时的稳定系数公式，在此基础上得出了冷成型单角钢轴压杆在所有长细比情况下的稳定系数公式。将ANSYS有限元的计算结果与实验值做了比较，此外还将ANSYS有限元的拟合公式与现行规范(GB50018—2002)设计公式的计算结果做了比较，指出了现行规范关于冷成型单角钢轴压杆设计的不妥之处，论文对现行规范提出了改进建议。
With the rapid development in Chinese economy,the steel structure and thin-walled colded-formed steel structures have been widely used in building constructions. The colded-formed angle members are one of important member in steel structures and are widely used in transmission towers,trusses and bracing members by its easy connection and erection.
In this paper ,the buckling behavior of cold-formed angle members is studied by non-linear finite element method.The influence of the width-thickness ratio of the single cold-formed angle column under axial load is analysed. The criteria of flexural buckling and torsional-flexural buckling for cold-formed egual-leg under axial loads is presented. According the calculating results of the ANSYS finite element method, the stability-coefficient formulas are simulated for the cold-formed loading single angle members of flexural buckling and torsional-flexural buckling. The calculation results of ANSYS finite element method are compared with the experimental values and also compared with the results of the design-formulas in the Current China Specification GB50018-2002 and the unreasonable items in the specification GB50018-2002 about the axial load cold-formed angle members are pointed out and suggestion for improving the specification GB50018-2002 are also presented in this paper.
本文运用非线性有限元法对冷成型单角钢的稳定性能进行了研究，分析了宽厚比对冷成型单角钢轴压杆稳定性能的影响，给出了等边冷弯角钢发生弯曲屈曲和弯扭屈曲的判断条件，根据ANSYS有限元的计算结果拟合出了冷成型单角钢轴压杆在发生弯曲屈曲以及在发生弯扭屈曲时的稳定系数公式，在此基础上得出了冷成型单角钢轴压杆在所有长细比情况下的稳定系数公式。将ANSYS有限元的计算结果与实验值做了比较，此外还将ANSYS有限元的拟合公式与现行规范(GB50018—2002)设计公式的计算结果做了比较，指出了现行规范关于冷成型单角钢轴压杆设计的不妥之处，论文对现行规范提出了改进建议。
With the rapid development in Chinese economy,the steel structure and thin-walled colded-formed steel structures have been widely used in building constructions. The colded-formed angle members are one of important member in steel structures and are widely used in transmission towers,trusses and bracing members by its easy connection and erection.
In this paper ,the buckling behavior of cold-formed angle members is studied by non-linear finite element method.The influence of the width-thickness ratio of the single cold-formed angle column under axial load is analysed. The criteria of flexural buckling and torsional-flexural buckling for cold-formed egual-leg under axial loads is presented. According the calculating results of the ANSYS finite element method, the stability-coefficient formulas are simulated for the cold-formed loading single angle members of flexural buckling and torsional-flexural buckling. The calculation results of ANSYS finite element method are compared with the experimental values and also compared with the results of the design-formulas in the Current China Specification GB50018-2002 and the unreasonable items in the specification GB50018-2002 about the axial load cold-formed angle members are pointed out and suggestion for improving the specification GB50018-2002 are also presented in this paper.
引文
[1] R. Baehre,R.Bryan,B.K.He,G.Moreau,T.Pekoz,K.Sakae. "Cold-Formed Steel Applictions Abroad" Proceedings of Sixth International Specialty Conference on Cold-Formed Steel Structures, University of Missouri-Rolla, Ma.U.S.A.1982
[2] A. Catenacci P. Faggiano "New ONT lines for 500KV Transmission Towers Using Cold-Formed Shapes: the Experimental Line of the American Electric Power Research Institute" Construsion: Metalliche n.3.1987
[3] Minoru Wakabayashi, Taijiro Nonaka "On the Buckling Strength of Angles in Transimission Towers" Balletin of the Disaster Prevention Research Institute,vol. 15,Part 2,No.91, Nov, 1965
[4] 柏拉希“金属结构构件稳定理论”同济大学钢木结构教研室译，科学出版社，1965
[5] John B Kennedy.Madugula K.S Murty "Buckling of Steel Angle and Tee Struts" 《Journal the Structural Division》Proceeding of the ASCE.ST11 1972
[6] 宇佑美勉 T．V．Ctalambo，“双轴受弯单角钢柱的强度”，《西安冶金建筑学院科技译文》1983、1
[7] 丁宽、沈祖炎，“薄壁杆弹塑性弯扭失稳的有限元单元解法”，《同济大学学报》1986年第4期。
[8] Chajes.A.Fang.P.J and Winter.C.T "Torsional-Flexural Buckling Elastic and Inelastic of Cold-Formed Thin-Walled Columns" Cornell Engineering Research Bulletin, Cornell University, Ithaca.NY.August 1966
[9] Madugula M.K.S Prabu,T.S Temple. "Ultimate Strength of Concentrically Loaded Cold-Formed Angles" Cadian Jonrnal Civil Engineering Vol 10.1983.
[10] Madugula M.K.S and Ray.S.K "Ultimate Strength of Concentrically Loaded Cold-Formed Angles" Cadian Jonrnal Civil Engineering Vol 11. No.2 1984.
[11] 张中权“冷弯薄壁型轴心受压构件稳定性的实验研究”《钢结构研究论文报告选集，第一册》
[12] 何保康 童根树“冷成型单角钢轴心受压杆极限强度研究” 西安冶金建筑学院学报 1991年第2期
[13] 陈绍蕃“角钢 部分T型钢压杆的弯扭屈曲(1)” 钢结构 2000年第4期
第15卷总第50期。
[14] “冷弯薄壁型钢结构技术规范”(GB50018—2002)中国计划出版社 2002
[15] 陈绍蕃“角钢 部分T型钢压杆的弯扭屈曲(2)” 钢结构 2001年第1期第16卷总第51期。
[16] 陈绍蕃“钢结构设计原理”，科学出版社2001
[17] 陈骥“钢结构稳定理论与设计”，科学出版社 2001。
[18] 沈祖炎、胡学仁，“单角钢压杆的稳定计算”，《同济大学学报》1982年第3期。
[19] 胡学仁、沈祖炎、沈勤斋“双向偏心受压构件弹塑性失稳的有限元解法”《钢结构研究论文报告选集》第一册，全国钢结构标准技术委员会 1982
[20] Chen.W.F and Atsutu.t. 《Theory of Beam-Column》Mc Graw-Hill. Inc.1977
[21] G.Wilhoite,R.Zandonini and A.Zavelani "Behavior and Strength of Angles in Compression: An Experimental Investigation" ASCE Annual Convetion and Structures Congress 1984
[22] Chajes.A.and Winter. G. "Torsional-Flexural Buckling of Thin-Walled Members" Joural of the Structural Division, ASCE,Vol.91.No.ST4.Proc Paper August 1966
[23] S.Rajase Karan,W.Murray "Finite Element Solution of Inelastic Beam Equations" Journal of the Structural Division.ASCE.Vol.No. ST6 1973
[24] 郭在田“薄壁杆件的弯曲与扭转” 北京：建筑工业出版社，1989
[25] 于炜文“冷成型钢结构设计” 知识产权出版社 2002
[26] D.Popvic,G.J.Hancock, and K.J.R.Rasmussen "Compression Test on Cold-Formed Angles Loaded Parallet With a Leg" Journal of Structural Engineering/June 2001
[27] Bruce G. Johnston "Guide to Stablity Design Criteria for Metal Structures" Third Edition 1976
[28] Murty K.S.Madugula and Sujit K.Ray "Cross-Sectional Properties of Cold-Formed Angles" Can.J.Civ.Eng.11,649-655 1984
[29] B.K.He,Z.Y.Fu, and G.S.Tong "Ultimate Strength of Cold-Formed Single Angle Column "Proceedings of 1991 Aunnal Technical Session, SSRC,Chicago,llinois,U.S.A April15-17,1991 PP125～132
[2] A. Catenacci P. Faggiano "New ONT lines for 500KV Transmission Towers Using Cold-Formed Shapes: the Experimental Line of the American Electric Power Research Institute" Construsion: Metalliche n.3.1987
[3] Minoru Wakabayashi, Taijiro Nonaka "On the Buckling Strength of Angles in Transimission Towers" Balletin of the Disaster Prevention Research Institute,vol. 15,Part 2,No.91, Nov, 1965
[4] 柏拉希“金属结构构件稳定理论”同济大学钢木结构教研室译，科学出版社，1965
[5] John B Kennedy.Madugula K.S Murty "Buckling of Steel Angle and Tee Struts" 《Journal the Structural Division》Proceeding of the ASCE.ST11 1972
[6] 宇佑美勉 T．V．Ctalambo，“双轴受弯单角钢柱的强度”，《西安冶金建筑学院科技译文》1983、1
[7] 丁宽、沈祖炎，“薄壁杆弹塑性弯扭失稳的有限元单元解法”，《同济大学学报》1986年第4期。
[8] Chajes.A.Fang.P.J and Winter.C.T "Torsional-Flexural Buckling Elastic and Inelastic of Cold-Formed Thin-Walled Columns" Cornell Engineering Research Bulletin, Cornell University, Ithaca.NY.August 1966
[9] Madugula M.K.S Prabu,T.S Temple. "Ultimate Strength of Concentrically Loaded Cold-Formed Angles" Cadian Jonrnal Civil Engineering Vol 10.1983.
[10] Madugula M.K.S and Ray.S.K "Ultimate Strength of Concentrically Loaded Cold-Formed Angles" Cadian Jonrnal Civil Engineering Vol 11. No.2 1984.
[11] 张中权“冷弯薄壁型轴心受压构件稳定性的实验研究”《钢结构研究论文报告选集，第一册》
[12] 何保康 童根树“冷成型单角钢轴心受压杆极限强度研究” 西安冶金建筑学院学报 1991年第2期
[13] 陈绍蕃“角钢 部分T型钢压杆的弯扭屈曲(1)” 钢结构 2000年第4期
第15卷总第50期。
[14] “冷弯薄壁型钢结构技术规范”(GB50018—2002)中国计划出版社 2002
[15] 陈绍蕃“角钢 部分T型钢压杆的弯扭屈曲(2)” 钢结构 2001年第1期第16卷总第51期。
[16] 陈绍蕃“钢结构设计原理”，科学出版社2001
[17] 陈骥“钢结构稳定理论与设计”，科学出版社 2001。
[18] 沈祖炎、胡学仁，“单角钢压杆的稳定计算”，《同济大学学报》1982年第3期。
[19] 胡学仁、沈祖炎、沈勤斋“双向偏心受压构件弹塑性失稳的有限元解法”《钢结构研究论文报告选集》第一册，全国钢结构标准技术委员会 1982
[20] Chen.W.F and Atsutu.t. 《Theory of Beam-Column》Mc Graw-Hill. Inc.1977
[21] G.Wilhoite,R.Zandonini and A.Zavelani "Behavior and Strength of Angles in Compression: An Experimental Investigation" ASCE Annual Convetion and Structures Congress 1984
[22] Chajes.A.and Winter. G. "Torsional-Flexural Buckling of Thin-Walled Members" Joural of the Structural Division, ASCE,Vol.91.No.ST4.Proc Paper August 1966
[23] S.Rajase Karan,W.Murray "Finite Element Solution of Inelastic Beam Equations" Journal of the Structural Division.ASCE.Vol.No. ST6 1973
[24] 郭在田“薄壁杆件的弯曲与扭转” 北京：建筑工业出版社，1989
[25] 于炜文“冷成型钢结构设计” 知识产权出版社 2002
[26] D.Popvic,G.J.Hancock, and K.J.R.Rasmussen "Compression Test on Cold-Formed Angles Loaded Parallet With a Leg" Journal of Structural Engineering/June 2001
[27] Bruce G. Johnston "Guide to Stablity Design Criteria for Metal Structures" Third Edition 1976
[28] Murty K.S.Madugula and Sujit K.Ray "Cross-Sectional Properties of Cold-Formed Angles" Can.J.Civ.Eng.11,649-655 1984
[29] B.K.He,Z.Y.Fu, and G.S.Tong "Ultimate Strength of Cold-Formed Single Angle Column "Proceedings of 1991 Aunnal Technical Session, SSRC,Chicago,llinois,U.S.A April15-17,1991 PP125～132