扭转支撑下简支梁弯扭屈曲分析
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摘要
采用能量变分法建立了集中荷载作用下扭转支撑简支梁弯扭屈曲的总势能方程,同时引入无量纲参数,提出了集中荷载作用下扭转支撑简支梁无量纲临界弯矩计算公式。然后,采用ANSYS有限元分析软件进行验证,分析解与理论解吻合良好,因此,提出的公式可为简支梁设计和稳定研究提供参考。
This paper presents an analytical solution for the lateral-torsional buckling of simply supported beam with torsional bracing under concentrated load by the energy variational method. By introducing dimensionless parameters, and the simple dimensionless calculating formula of the critical moment is obtained.To validate the present analytical solutions finite element analyses using ANSYS software are also presented.Good agreement between the analytical and numerical solutions is demonstrated. Hence, the proposed equation can be provided a reference for simply supported beam design and stability research.
This paper presents an analytical solution for the lateral-torsional buckling of simply supported beam with torsional bracing under concentrated load by the energy variational method. By introducing dimensionless parameters, and the simple dimensionless calculating formula of the critical moment is obtained.To validate the present analytical solutions finite element analyses using ANSYS software are also presented.Good agreement between the analytical and numerical solutions is demonstrated. Hence, the proposed equation can be provided a reference for simply supported beam design and stability research.
引文
[1]Timoshenko S P,Gere J M.Theory of elastic stability[M].2nd edition.New York:Mc Graw-Hill,1961.
[2]Vlasov V Z.Thin-walled elastic beams[M].2nd edition.Jerusalem:Israel program for scientific translation,1961.
[3]Wang C M,Kitipornchai S.Buckling capacities of monosymmetric I-beams[J].Journal of Structural Engineering,1986,112(11):2373-2391.
[4]郭耀杰,方山峰.钢结构构件弯扭屈曲问题的计算和分析[J].建筑结构学报,1990,11(3):38-44.
[5]刘占科,周绪红,何子奇,等.复合荷载作用下简支钢梁弹性弯扭屈曲研究[J].建筑结构学报,2014,35(4):78-85.
[6]Yura J A.Fundamentals of beam bracing[J].Engineering Journal,2001,38(1):11-26.
[7]Mutton B R,Trahair N S.Stiffness requirements for lateral bracing[J].Journal of the Structural Division,ASCE,1975,99(10):2167-2182.
[8]吴勇军.支撑位置对钢构件稳定承载力的影响[D].南京:河海大学,2005.
[9]赵滇生,王乐洋,阮雪琴.上翼缘受侧向支撑的固端钢梁整体稳定分析[J].浙江工业大学学报,2007,35(6):687-690.
[10]Mohammadi E,Hosseini S S,Rohanimanesh M S.Elastic lateral-torsional buckling strength and torsional bracing stiffness requirement for monosymmetric I-beams[J].Thin-Walled Structures,2016,104:116-125.
[11]Zhang W F,Liu Y C,Hou G L,et al.Lateral-torsional buckling analysis of cantilever beam with tip lateral elastic brace under uniform and concentrated load[J].International Journal of Steel Structures,2016,16(4):1161-1173.
[2]Vlasov V Z.Thin-walled elastic beams[M].2nd edition.Jerusalem:Israel program for scientific translation,1961.
[3]Wang C M,Kitipornchai S.Buckling capacities of monosymmetric I-beams[J].Journal of Structural Engineering,1986,112(11):2373-2391.
[4]郭耀杰,方山峰.钢结构构件弯扭屈曲问题的计算和分析[J].建筑结构学报,1990,11(3):38-44.
[5]刘占科,周绪红,何子奇,等.复合荷载作用下简支钢梁弹性弯扭屈曲研究[J].建筑结构学报,2014,35(4):78-85.
[6]Yura J A.Fundamentals of beam bracing[J].Engineering Journal,2001,38(1):11-26.
[7]Mutton B R,Trahair N S.Stiffness requirements for lateral bracing[J].Journal of the Structural Division,ASCE,1975,99(10):2167-2182.
[8]吴勇军.支撑位置对钢构件稳定承载力的影响[D].南京:河海大学,2005.
[9]赵滇生,王乐洋,阮雪琴.上翼缘受侧向支撑的固端钢梁整体稳定分析[J].浙江工业大学学报,2007,35(6):687-690.
[10]Mohammadi E,Hosseini S S,Rohanimanesh M S.Elastic lateral-torsional buckling strength and torsional bracing stiffness requirement for monosymmetric I-beams[J].Thin-Walled Structures,2016,104:116-125.
[11]Zhang W F,Liu Y C,Hou G L,et al.Lateral-torsional buckling analysis of cantilever beam with tip lateral elastic brace under uniform and concentrated load[J].International Journal of Steel Structures,2016,16(4):1161-1173.