Abstract:The loading tests of angle steels with different section sizes, slenderness ratios and end restraints were conducted to capture the hysteretic characteristics of angle steels under low cyclic axial loading. Based on the hysteretic characteristics of angle steels, a nonlinear hysteretic model is proposed considering the buckling effect and plastic strain accumulation. Those empirical parameters in the hysteretic model are reasonably fitted and optimized. Compared to those available results of loading test, the hysteretic model can accurately present the complex nonlinear characteristics of angle steels under reversed cyclic loading: yield and strain hardening phenomenon under tension, buckling and post buckling behaviors under compression, and degradation phenomenon of stiffness and buckling strength. The hysteretic model has good simulation ability and improves the calculation efficiency, which provides an efficient and reliable analysis method for the prediction of nonlinear hysteretic behavior of angle steel.
Key words: angle steel; hysteretic behavior; nonlinear hysteretic model; cyclic loading test; buckling strength
刘俊才,田利,毕文哲,刘文棚,孟祥瑞. 考虑失稳效应的角钢非线性滞回模型研究[J]. 振动与冲击, 2022, 41(23): 19-26.
LIU Juncai, TIAN Li, BI Wenzhe, LIU Wenpeng, MENG Xiangrui. Nonlinear hysteretic model of angle steel considering instability effect. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(23): 19-26.
[1] TIAN L, GUO L L, QU B, et al. Single-angle compression members with both legs bolted at the ends: design implications from an experimental study[J]. Journal of Structural Engineering, 2018, 144(9): 06018004-1-7.
[2] 杨伦, 楼文娟, 陈勇, 等. 覆冰导线舞动作用下输电塔破坏机理的试验研究[J]. 振动与冲击, 2013, 32(24): 70-75+82.
YANG Lun, LOU Wen-juan, CHEN Yong, et al. Test for failure mechanism of a transmission tower under iced conductor galloping[J]. Journal of Vibration and Shock, 2013, 32(24): 70-75+82.
[3] 李妍, 刘红军, 李正良, 等. 输电塔线体系断线非线性动力分析[J]. 振动与冲击, 2017, 36(07): 70-79+85.
LI Yan, LIU Hong-jun, LI Zheng-liang, et al. Nonlinear dynamic analysis for a transmission tower-line system subjected to wire breakage[J]. Journal of Vibration and Shock, 2017, 36(07): 70-79+85.
[4] BLACK R G, WENGER W A, POPOV E P. Inelastic buckling of steel struts under cyclic load reversals. 1980, 177-186.
[5] 谢道清, 沈金, 邓华, 等. 考虑受压屈曲的圆钢管杆单元等效弹塑性滞回模型[J]. 振动与冲击, 2012, 31(06): 160-165.
XIE Dao-qing, SHEN Jin, DENG Hua, et al. Equivalent elasto-plastic hysteretic model of steel circular-tube bar elements considering compressive buckling[J]. Journal of Vibration and Shock, 2012, 31(06): 160-165.
[6] 杨娜, 仲亚囡. 循环荷载作用下冷弯薄壁矩形截面构件的破坏行为及影响参数[J]. 振动与冲击, 2013, 32(19): 12-16+92.
YANG Na, ZHONG Ya-Nan. Failure behavior and influencing parameters of cold-formed thin-walled steel members with rectangular cross-section under cyclic loads[J]. Journal of Vibration and Shock, 2013, 32(19): 12-16+92.
[7] 张春涛, 范文亮, 李正良. 腐蚀方式对Q345等边角钢疲劳性能的影响[J]. 工程力学, 2013, 30(10): 211-218.
ZHANG Chun-tao, FAN Wen-liang, LI Zheng-liang. Effects of corrosion on fatigue property of Q345 equalangles[J]. Engineering Mechanics, 2013, 30(10): 211-218.
[8] 张春涛,范文亮,李正良.腐蚀环境中Q345等边角钢构件拟静力试验研究[J].工程力学, 2014, 31(11): 53-62.
ZHANG Chun-tao, FAN Wen-liang, LI Zheng-liang. Quasi-static test of Q345 equal-angles in corrosion environment [J]. Engineering Mechanics, 2014, 31(11): 53-62.
[9] 张春涛, 范文亮, 李正良. Q345等边角钢腐蚀疲劳性能试验研究[J]. 振动与冲击, 2014, 33(02): 193-198.
ZHANG Chun-tao, FAN Wen-liang, LI Zheng-liang. Experimental research on the corrosion fatigue properties of Q345 equal angles[J]. Journal of Vibration and Shock, 2014, 33(02): 193-198.
[10] CHEN C H, HU H K. Evaluation of loading sequences on testing capacity of concentrically braced frame structures [J]. Journal of Constructional Steel Research, 2017, 130(3): 1-11.
[11] 于海丰. 焊接工字形钢支撑及中心支撑钢框架抗震性能研究[D]. 哈尔滨: 哈尔滨工业大学, 2010.
YU Hai-feng. A seismic performance of welded I-section steel bracings and concentrically braced steel frames [D]. Harbin: Harbin Institute of Technology, 2010.
[12] 叶小峰. 低屈服点圆钢管中心支撑钢框架结构抗震性能研究[D]. 镇江: 江苏科技大学, 2017.
YE Xiao-feng. Seismic performance research of low yield point circular steel pipe concentrically braced frames [D]. Zhenjiang: Jiangsu University of Science and Technology, 2017.
[13] TIAN L, MA R S, QU B. Influence of different criteria for selecting ground motions compatible with IEEE 693 required response spectrum on seismic performance assessment of electricity transmission towers[J]. Engineering Structures, 2018, 156: 337-350.
[14] DAVAAN A, FAR N E. An inelastic model for low cycle fatigue prediction in steel braces [J]. Journal of Constructional Steel Research, 2009, 65(3): 523-530.
[15] ZHENG Hua-dong, FAN Jian. Analysis of the progressive collapse of space truss structures during earthquakes based on a physical theory hysteretic model[J]. Thin-Walled Structures, 2018, 123(2): 70-81.
[16] DL/T 5154—2012. 架空输电线路杆塔结构设计技术规定[S]. 北京: 中国计划出版社, 2012.
DL/T 5154—2012, Technical code for the design of tower and pole structures of overhead transmission line[S]. Beijing: China Planning Press, 2012.
[17] ECCS. Recommended testing procedure for assessing the behaviour of structural steel elements under cyclic loads, 1st ed [M]. Brussels, 1986.
[18] GB/T2975-1998, 钢及钢产品力学性能试验取样位置及试样制备[S]. 北京: 中国标准出版社, 1998.
GB/T2975-1998, Steel and steel products: Location and preparation of test pieces for mechanical testing [S]. Beijing: Standards Press of China, 1998.
[19] 张勇, 施刚, 刘钊, 等. 高强度等边角钢轴心受压局部稳定的有限元分析和设计方法研究[J]. 土木工程学报, 2011, 44(09): 27-34.
ZHANG Yong, SHI Gang, LIU Zhao, et al. Finite element analysis and design method study for the local buckling of high strength steel equal angles under axial compression [J]. China Civil Engineering Journal, 2011, 44(09): 27-34.
[20] 郑华冬, 樊剑, 张耀庭. 考虑低周疲劳效应的圆管截面钢支撑现象滞回模型[J]. 建筑结构学报, 2020, 41(03): 172-181.
ZHENG Hua-dong, FAN Jian, ZHANG Yao-ting. Phenomenological hysteretic model considering low-cycle fatigue effects for hollow circular steel braces [J]. Journal of Building Structures, 2020, 41(03): 172-181.
[21] KASHANI M M, LOEWS L N, CREWE A J, et al. Phenomenological hysteretic model for corroded reinforcing bars including inelastic buckling and low-cycle fatigue degradation [J]. Computers & Structures, 2015, 156(8): 58-71.
[22] 郑华冬. 杆件滞回模型的研究与空间桁架结构地震倒塌分析 [D]. 武汉: 华中科技大学, 2018.
ZHENG Hua-dong. Research on hysteretic models for truss members and seismic collapse simulation of truss structures [D]. Wuhan: Huazhong University of Science and Technology, 2018.
[23] KASHANI M M, LOEWS L N, CREWE A J, et al. Finite element investigation of the influence of corrosion pattern on inelastic buckling and cyclic response of corroded reinforcing bars [J]. Engineering Structures, 2014, 75(9): 113-125.
[24] 邓志恒, 林倩, 胡强, 等. 新型钢桁架连梁的抗震性能试验研究[J]. 振动与冲击, 2012, 31(01): 76-81.
DENG Zhi-heng, LIN Qian, HU Qiang, et al. Test for aseismic behavior of new steel truss coupling beams[J]. Journal of Vibration and Shock, 2012, 31(01): 76-81.