Free vibration characteristics of steel-concrete composite beams considering the longitudinal stiffness distribution based on the energy method
SUN Qikai1,2，ZHANG Nan1,2，LIU Xiao1,2，TAO Xiaoyan2,3，ZHENG Yu1，HUO Mingyu1,2
1.School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China;
2.State Key Laboratory for Track Technology of High-Speed Railway, Beijing 100081, China;
3.Railway Engineering Research Institute, China Academy of Railway Sciences Corporation Limited, Beijing 100081, China
［1］聂建国，余志武．钢-混凝土组合梁在我国的研究及应用［J］.土木工程学报，1999,32(2): 3-8.
NIE Jianguo, YU Zhiwu.Research and practice of composite steel-concrete beams in China［J］.China Civil Engineering Journal, 1999,32(2): 3-8.
［2］白玲，史志强，史永吉.剪力键布置方式对连续组合梁桥受力特性的影响［J］.中国铁道科学, 2003,24(2): 67-71.
BAI Ling, SHI Zhiqiang, SHI Yongji.Influence of the shear connector arrangement on the mechanical characteristics of the continuous composite bridge［J］.China Railway Science, 2003,24(2): 67-71.
［3］沈旭栋，陈伟球，徐荣桥.有轴力的部分作用组合梁的动力分析［J］.振动工程学报, 2012,25(5): 514-521.
SHEN Xudong, CHEN Weiqiu, XU Rongqiao.Dynamic analysis of partial-interactive composite beam with axial force ［J］.Journal of Vibration Engineering, 2012,25(5): 514-521.
［4］NEWMARK N M, SIESS C P, VIEST I M.Test and analysis of composite beams with incomplete interaction［J］.Proceedings of the Society for Experimental Stress Analysis, 1951,9(1): 75-92.
［5］侯忠明，夏禾，张彦玲.钢-混简支结合梁基本动力特性的解析解［J］.铁道学报, 2014,36(3): 100-105.
HOU Zhongming, XIA He, ZHANG Yanling.Analytical solution to dynamic characteristics of simply-supported steel-concrete composite beams［J］.Journal of the China Railway Society, 2014,36(3): 100-105.
［6］侯忠明，夏禾，王元清，等.钢-混凝土组合梁动力折减系数研究［J］.振动与冲击, 2015,34(4): 74-81.
HOU Zhongming, XIA He, WANG Yuanqing, et al.Dynamic redution coefficients for a steel-concrete composite beam［J］.Journal of Vibration and Shock, 2015,34(4): 74-81.
［7］XU R, WU Y.Static dynamic and buckling analysis of partial interaction composite members using Timoshenko’s beam theory［J］. International Journal of Mechanical Sciences, 2007,49(10): 1139-1155.
［8］戚菁菁，蒋丽忠，张传增，等.界面滑移、竖向掀起及剪切变形对钢-混凝土组合连续梁动力性能的影响［J］.中南大学学报(自然科学版), 2010,41(6): 2334-2343.
QI Jingjing, JIANG Lizhong, ZHANG Chuanzeng, et al.Effects of interface slip, vertical uplift and shear deformation on dynamic behavior of steel-concrete composite continuous beams［J］.Journal of Central South University (Science and Technology), 2010,41(6): 2334-2343.
［9］NGUYEN Q H, HJIAJ M, GROGNEC P L.Analytical approach for free vibration analysis of two-layer Timoshenko beams with interlayer slip［J］.Journal of Sound and Vibration, 2012,331(12): 2949-2961.
［10］HE G H, YANG X.Dynamic analysis of two-layer composite beams with partial interaction using a higher order beam theory［J］.International Journal of Mechanical Sciences, 2015,90: 102-112.
［11］FU C, YANG X.Dynamic analysis of partial-interaction Kant composite beams by weak-form quadrature element method［J］.Archive of Applied Mechanics, 2018,88(1): 2179-2198.
［12］苏庆田，薛智波，李晨翔，等.组合梁钢与混凝土界面连接效应的精细化计算［J］.同济大学学报(自然科学版), 2016,44(12): 1803-1809.
SU Qingtian, XUE Zhibo, LI Chenxiang, et al.Refined calculation of steel-concrete interface connection in composite girders［J］.Journal of Tongji University(Natural Science), 2016,44(12): 1803-1809.
［13］朱力，聂建国，季文玉.钢-混凝土组合箱型梁的滑移和剪力滞效应［J］.工程力学, 2016,33(9): 49-68.
ZHU Li, NIE Jianguo, JI Wenyu.Slip and shear-lag effects of steel-concrete composite box beam［J］.Engineering Mechanics, 2016,33(9): 49-68.
［14］ATAEI A, ZEYNALIAN M, YAZDI Y.Cyclic behaviour of bolted shear connectors in steel-concrete composite beams［J］.Engineering Structures, 2019,198: 109455.
［15］ZHAO Y, ZHOU X H, YANG Y L, et al.Shear behavior of a novel cold-formed U-shaped steel and concrete composite beam［J］.Engineering Structures, 2019,200: 109745.
［16］WANG Y H, YU J, LIU J P, et al.Experimental study on assembled monolithic steel-prestressed concrete composite beam in negative moment［J］.Journal of Constructional Steel Research, 2020,167: 105667.
［17］瞿叶高，华宏星，孟光，等.基于区域分解的组合结构振动分析方法［J］.上海交通大学学报, 2012,46(9): 1487-1492.
QU Yegao, HUA Hongxing, MENG Guang, et al.A domain decomposition approach for vibration analysis of joined structures［J］.Journal of Shanghai Jiao Tong University, 2012,46(9): 1487-1492.
［18］GATTESCO N.Analytical modeling of nonlinear behavior of composite beams with deformable connection［J］.Journal of Constructional Steel Research, 1999,52(2): 102-112.
