刘迎春;邓世林;张文福;计静;卢召红;李洋;

• 1:东北石油大学黑龙江省防灾减灾工程与防护工程重点实验室

• 2:东北石油大学土木建筑工程学院

• 3:南京工程学院建筑工程学院

摘要(Abstract)：

采用能量变分法,建立集中荷载作用下扭转支撑悬臂钢梁弯扭屈曲的总势能方程,选取6项三角级数表达的位移函数和转角函数,引入无量纲参数,计算扭转支撑悬臂钢梁弯扭屈曲的无量纲临界弯矩解析解;采用1stOpt数学优化分析软件,拟合扭转支撑悬臂钢梁无量纲临界弯矩计算公式;采用ANSYS有限元分析软件进行验证,研究荷载作用位置对悬臂钢梁弯扭屈曲强度的影响。结果表明,扭转支撑悬臂钢梁无量纲临界弯矩计算公式具有较高的精确性,为悬臂梁设计和稳定性研究提供参考。

关键词(KeyWords)：弯扭屈曲;悬臂钢梁;扭转支撑;集中荷载;能量变分法;有限元法

Abstract:

Keywords:

基金项目(Foundation):国家自然科学基金项目(51178087;51578120);; 中国石油科技创新基金研究项目(2016D-5007-0608);; 东北石油大学校青年科学基金项目(NEPUQN2014-25);; 南京工程学院科研基金项目(YKJ201617);; 国家自然科学基金东北石油大学校培育基金项目(NEPUPY-1-16);; 东北石油大学校级研究生创新科研项目(YJSCX2016-031NEPU);; 黑龙江省教育厅科研专项经费东北石油大学优势科研方向凝练基金项目(2016YSFX-02);; 黑龙江省大学生创新创业训练重点项目(201610220015)

作者(Author):刘迎春;邓世林;张文福;计静;卢召红;李洋;

Email:

参考文献(References)：

• [1]Clark J W,Hill H N.Lateral buckling of beams[J].Journal of the Structural Division,ASCE,1960,86(7):175-196.

• [2]Timoshenko S P,Gere J M.Theory of elastic stability[M].2nd edition.New York:McGraw-Hill,1961.

• [3]Woolcock S T,Trahair N S.Post-buckling behavior of determinate beams[J].Journal of Engineering Mechanics,1974,100(2):151-171.

• [4]Wang C M,Kitipornchai S.On stability of monosymmetric cantilevers[J].Engineering Structures,1986,8(3):169-180.

• [5]Trahair N S.Flexural-torsional buckling of structures[M].London:E&FN Spon,1993.

• [6]Zhang L,Tong G S.Elastic flexural-torsional buckling of thin-walled cantilevers[J].Thin-Walled Structures,2008,46:27-37.

• [7]秦桦,郭成喜.单轴对称工字形截面悬臂钢梁在横向荷载作用下的整体稳定性研究[J].工程力学,2009,26(9):152-155.Qin Hua,Guo Chengxi.Stability of monosymmetric I-section cantilevers[J].Engineering Mechanics,2009,26(9):152-155.

• [8]Taylor A C,Ojalvo M.Torsional restraint of lateral buckling[J].American Society of Civil Engineers,1966,92(2):115-129.

• [9]Mutton B R,Trahair N S.Stiffness requirements for lateral bracing[J].Journal of the Structural Division,ASCE,1973,99(10):2167-2182.

• [10]Valentino J,Pi Y L,Trahair N S.Inelastic buckling of steel beams with central torsional restraints[J].Journal of Structural Engineering,1997,123(9):1180-1186.

• [11]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.Wu Yongjun.The effect to stability of steel members by bracing location[D].Nanjing:Hehai University,2005.

• [12]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.Zhao Diansheng,Wang Leyang,Ruan Xueqin.Stability analyses of fixed end beam with lateral bracing on its top flange[J].Journal of Zhejiang University of Technology,2007,35(6):687-690.

• [13]岳润慧,李军,郁有升.狗骨式钢梁侧向支撑合理位置分析[J].钢结构,2007,22(8):56-59.Yue Runhui,Li Jun,Yu Yousheng.Discussion on reasonable position of lateral brace for reduced beam section connection[J].Steel Construction,2007,22(8):56-59.

• [14]陈绍蕃.双轴对称工形截面无支撑简支梁的整体稳定[J].钢结构,2008,23(8):6-13.Chen Shaofan.Overall stability of unbraced simply-supported beams with doubly symmetric I-section[J].Steel Construction,2008,23(8):6-13.

• [15]陈绍蕃.有约束梁的整体稳定[J].钢结构,2008,23(8):20-25.Chen Shaofan.Overall stability of beams with restraints[J].Steel Construction,2008,23(8):20-25.

• [16]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.

• [17]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.

• [18]童根树.钢结构平面外稳定[M].北京:中国建筑工业出版社,2006.Tong Genshu.Out-plane stability of steel structures[M].Beijing:China Architecture&Building Press,2006.

• [19]夏志斌,潘永昌.结构稳定理论[M].北京:中国建筑工业出版社,1988.Xia Zhibin,Pan Yongchang.Theory of structural stability[M].Beijing:China Architecture&Building Press,1988.

• [20]陈骥.钢结构稳定理论与设计[M].北京:科学出版社,2012.Chen Ji.Stability of steel theory and design[M].Beijing:Science Press,2012.

• [21]张文福,杜娟,刘迎春,等.索桁架组合体系的固有振动能量变分解[J].东北石油大学学报,2013,37(5):103-108.Zhang Wenfu,Du Juan,Liu Yingchun,et al.Energy variational solution for the nature vibration of the cable-trusses combination system[J].Journal of Northeast Petroleum University,2013,37(5):103-108.

• [22]柳凯议.双跨钢梁的屈曲分析与应用[D].大庆:大庆石油学院,2009.Liu Kaiyi.Elastic lateral buckling and application of double span continuous beams[D].Daqing:Daqing Petroleum Institute,2009.

• [23]侯桂兰.具有侧向弹性支撑钢梁的稳定性能研究[D].大庆:东北石油大学,2012.Hou Guilan.Stability research of steel beams with lateral elastic brace[D].Daqing:Northeast Petroleum University,2012.

• [24]计静,徐智超,张文福,等.矩形钢管混凝土翼缘的H型蜂窝组合柱特征值屈曲性能[J].东北石油大学学报,2017,41(1):106-116.Ji Jing,Xu Zhichao,Zhang Wenfu,et al.Eigenvalue buckling analysis of H-type honeycombed composite column with rectangular concrete-filled steel tube flanges[J].Journal of Northeast Petroleum University,2017,41(1):106-116.