In order to study the influence of the shear deformation of a corrugated steel web and the shear lag effect of a box girder on the natural characteristics of a corrugated web steel box-concrete composite girder bridge, the element stiffness matrix of the corrugated web steel box-concrete composite girder bridge was derived by using the potential energy varation principle. According to the element stiffness matrix derived thereby, MATLAB was used to code the solving program for the natural characteristics, the natural frequency and mode shape of the corrugated steel box-concrete composite girder bridge were calculated. Subsequently, the influence parameters of the natural vibration frequency of the corrugated web steel box-concrete composite girder bridge were analyzed. The result shows that, the vertical fundamental frequency is greatly affected by the thickness of the steel bottom sheet, while the effect on vertical fundamental frequency is small with the thickness of the corrugated steel web. As the frequency order of natural vibration increases, the effect degree of the thickness of the steel bottom sheet on the natural vibration frequency decreases in turn, and the influence of the thickness of the corrugated steel webs on the natural vibration frequency increases successively. The number of elements required for the natural characteristic solving program is small, which greatly shortens the calculation time of natural characteristics solution, improves the calculation efficiency. The results can provide reference for the analysis and calculation of the natural characteristics of this type of bridges.
[1] 陈宜言. 波形钢腹板预应力混凝土桥设计与施工[M]. 北京:人民交通出版社, 2009: 1-12.
[2] KARNIK A, SAM W, JOHN P. Finite element analysis of local shear buckling in corrugated web beams[J]. Engineering Structures, 2018, 162: 37-50.
[3] JÁGER B, DUNAI L, KÖVESDI B. Girder with trapezoidally corrugated webs subjected by combination of bending, shear and path loading [J]. Thin-Walled Structures, 2015, 96: 227-239.
[4] LEE D H, OH J Y, KANG H, et al. Structural performance of prestressed composite girders with corrugated steel plate webs [J]. Journal of Constructional Steel Research, 2015, 104: 9-21.
[5] KÖESDI B, JER B, DUNAI L. Bending and shear interaction behavior of girders with trapezoidally corrugated webs [J]. Journal of Constructional Steel Research, 2016, 121 (6): 383-397.
[6] PAPANGELIS J ,TRAHAIR N, HANCOCK G. Direct strength method for shear capacity of beams with corrugated webs[J]. Journal of Constructional Steel Research, 2017, 137: 152-160.
[7] 刘保东, 陈海波, 任红伟. 波纹钢腹板混凝土箱梁动力特性改善研究[J]. 中国铁道科学, 2008(03): 29-33.
LIU Bao-dong, CHEN Hai-bo, REN Hong-wei. Inprovement study of the dynamic characteristics for concrete box-girder with corrugated steel webs [J]. China Railway Science, 2008(03): 29-33.
[8] 张永健, 黄平明, 狄谨, 等. 波形钢腹板组合箱梁自振特性与试验研究[J]. 交通运输工程学报, 2008(05): 76-80.
ZHANG Yong-jian, HUANG Ping-ming, DI Jin, et al. Free vibration characteristics and experiment study of composite box girder with corrugated steel webs [J]. Journal of Traffic and Transportation Engineering, 2008(05): 76-80.
[9] 李杰, 周亚鹏, 陈淮. 体外束对波形钢腹板简支箱梁自振频率的影响[J]. 深圳大学学报(理工版), 2018, 35(04): 383-388.
LI Jie, ZHOU Ya-peng, CHEN Huai. Influence of external strand on vibration frequency of simply supported box girder with corrugated steel webs [J]. Journal of Shenzhen University Science and Engineering, 2018, 35(04): 383-388.
[10] 李波, 刘保东, 李鹏飞, 等. 波纹钢腹板组合箱梁应力相关阻尼特性研究[J]. 振动与冲击,2008, 8(5): 76-80.
LI Bo, LIU Bao-dong, LI Peng-fei, et al. Stress-related damping characterstic of a composite box-girder with corrugated steel webs [J]. Journal of Vibration and Shock, 2008, 8(5): 76-80.
[11] 冀伟, 邓露, 刘世忠, 等. 多跨等截面波形钢腹板PC连续箱梁桥竖向弯曲振动频率的计算[J]. 振动与冲击, 2016, 35 (18):140-146.
JI Wei, DENG Lu, LIU Shi-zhong, et al. Calculation of the vertical bending vibration frequencies of multi-span PC continuous box girder bridge with corrugated steel webs of uniform cross-section [J]. Journal of Vibration and Shock, 2016, 35 (18): 140-146.
[12] 冀伟, 刘世忠, 蔺鹏臻, 等. 波形钢腹板连续箱梁桥振动频率的参数分析[J]. 振动、测试与诊断, 2016,36(4): 771-776.
JI Wei, LIU Shi-zhong, LIN peng-zhen, et al. Calculation and study on bending vibration frequencies of the PC continuous box girder with corrugated steel webs [J]. Journal of Vibration, Measurement & Diagnosis, 2016, 36(4): 771-776.
[13] 冀伟, 刘世忠, 蔺鹏臻. 波形钢腹板PC连续箱梁自振频率分析与试验研究[J]. 中南大学学报（自然科学版），2016, 47(4): 1297-1304.
JI Wei, LIU Shi-zhong, LIN peng-zhen. Analysis and experimental study on nature vibration frequencies of PC continuous box girder bridge with corrugatad steel webs [J]. Journal of Central South University (Science and Technology), 2016, 47(4): 1297-1304.
[14] JI W, DENG L, LIU S Z, et, al Study of vertical bending vibration behavior of continuous prestressed concrete box girders with corrugated steel webs[J]. Advances in Structural Engineering, 2016, 19(06): 953-965.
[15] 桂水荣, 张政韬, 陈水生. 结构参数对大跨波形钢腹板箱梁桥动力特性的影响[J]. 桥梁建设, 2018, 48(04): 39-44.
GUI Shui-rong ZHANG Zheng-tao, CHEN Shui-sheng. Influences of structural parameters on dynamic characteristics of long span box girder bridges with corrugated steel webs [J]. Bridge Construction, 2018, 48(04):39-44.
[16] 张士铎, 邓小华, 王文州. 箱型薄壁梁剪力滞效应[M]. 北京：人民交通出版社, 1998.
[17] 曾攀. 有限元分析及应用[M]. 北京：清华大学出版社,2004: 302-304.
[18] 克拉夫R, 彭津J. 结构动力学[M]. 王光远, 译. 北京：高等教育出版社, 2006: 160-200.
[19] 赵文忠.新型波形钢腹板的参数设计研究[J].公路交通科技(应用技术板), 2018, 14(07): 1-2.
ZHAO Wen-zhong. Research on parameter design of new corrugated steel webs [J]. Highway Traffic Science and Technology (Application Technology Plate), 2018, 14(07): 1-2.
