摘要
为了探讨抛物线系列剪滞翘曲位移函数的设置对薄壁箱梁力学性能分析计算精度的影响,选择了符合箱梁翼板纵向翘曲位移模式的抛物线函数,同时考虑剪力滞效应和剪切变形等因素,利用能量变分法建立箱梁的控制微分方程,基于简支和连续边界条件计算出不同翘曲位移函数箱梁的自振频率,进而根据箱梁自振频率的大小对所设置翘曲位移函数的精确度进行选择。研究结果表明:二次抛物线函数能够更准确地反映薄壁箱梁翼板剪力滞效应以及由其引起的箱梁纵向翘曲位移的分布特征;当箱梁跨宽比较小时,同一箱梁应用不同翘曲位移函数计算得到的自振频率相差很小,但箱梁翼板剪力滞系数却相差较大,故在对跨宽比较小的箱形梁桥进行力学分析时翘曲位移函数的选择更为重要。
In order to explore the influence of the setting of parabolic series shear hysteresis warping displacement function on the accuracy of the mechanical performance analysis of thin-walled box girder,a parabolic function is selected to meet the longitudinal warping displacement pattern of the box girder wing,and the shear hysteresis effect and shear deformation are also considered to establish the control differential equations of the box girder using the energy variational method,and the self-oscillation frequencies of the box girder with different warping displacement functions are calculated based on the simply supported and continuous boundary conditions.The accuracy of the set warp displacement function is then selected according to the magnitude of the self-oscillation frequency of the box beam.The results show that the quadratic parabolic function can more accurately reflect the shear hysteresis effect of thin-walled box girder wings and the distribution characteristics of the longitudinal buckling displacement of box girder caused by the induced buckling.Therefore,the choice of the warp displacement function is more important in the mechanical analysis of box girder bridges with small span widths.
作者
臧小萌
王根会
金学军
ZANG Xiao-meng;WANG Gen-hui;JIN Xue-jun(School of Civil Engineering,Lanzhou Jiaotong Univesity,Lanzhou 730070,China)
出处
《兰州交通大学学报》
CAS
2023年第3期15-21,共7页
Journal of Lanzhou Jiaotong University
基金
甘肃省交通厅项目(2020-05)
甘肃省科技厅计划项目(21JR7RA306)。
关键词
薄壁箱梁
剪力滞效应
能量变分法
翘曲位移函数
抛物线
thin-walled box beam
shear hysteresis effect
energy variational method
warping displacement function
parabola
