摘要
研究目的:新建地铁隧道上穿施工将引起既有隧道内的轨道结构发生变形甚至脱空,影响既有地铁的安全运营。为此,将轨道结构视为弹性地基梁,在控制微分方程中引入阶梯函数,推导考虑轨道与基底脱空的轨道变形傅里叶级数解法,并将理论方法与数值模拟方法及实测数据进行对比,验证方法的正确性,进而基于傅里叶级数法进行参数分析。研究结论:(1)轨道变形、内力和脱空范围均随隧道隆起量的增大而增大,轨道结构内力和脱空范围随隧道上浮槽宽度的增大而减小;(2)当双洞隧道中距大于8倍的上浮槽宽度时,可按单洞隧道确定基底变形;(3)当双洞隧道中距小于4倍的上浮槽宽度时,道床板的最大隆起将超过隧道底板;(4)本研究成果可为隧道上穿施工中既有轨道结构的安全评价提供理论依据。
Research purposes:The upper traversing construction of the newly-built metro tunnel will cause deformation,or even detachment of track structures in the existing tunnel,which affects the safe operation of the existing metro.The track structure was regarded as a beam on elastic foundation.By introducing the step function into the governing differential equation to consider the detachment between track and foundation,the Fourier series method for solving track deformation was deduced.The Fourier series method were verified by the comparison of series solutions with numerical simulation and measured data.Parameter analyses were carried out based on the Fourier series method.Research conclusions:(1)The maximum track deformation,internal forces of track and the detachment range increase with the increase of foundation upheaval,the latter two decrease with the increase of the upheaval trough width of foundation.(2)If the center distance of double-cave tunnel is greater than 8 times of the upheaval trough width of foundation,the foundation deformation can be determined according to a single-cave tunnel.(3)When the center distance of the double-cave tunnel is less than 4 times of the upheaval trough of tunnel floor,the maximum upheaval of track slab will exceed that of the tunnel floor.(4)The research results provide theoretical guidance for safety evaluation of the existing track structures during upper traversing construction.
作者
杨成永
程霖
李延川
马文辉
YANG Chengyong;CHENG Lin;LI Yanchuan;MA Wenhui(Beijing Jiaotong University,Beijing 100044,China;Beijing Urban Construction Design & Development GroupCo.Limited,Beijing 100037,China)
出处
《铁道工程学报》
EI
北大核心
2019年第3期19-25,77,共8页
Journal of Railway Engineering Society
基金
中央高校基本科研业务费专项资金项目(2018YJS119)
国家自然科学基金项目(51478032)
关键词
隆起
轨道结构
脱空
相互作用
傅里叶级数解
upheaval
track structure
detachment
interaction
Fourier series solution