时速250 km/h铁路双线箱梁的扭转效应研究
|
摘要
为了准确分析时速250 km/h客运专线32 m标准双线简支箱梁的约束扭转效应,基于箱梁约束扭转时截面变形和约束扭转微分方程,建立能够准确模拟实际边界条件的有限元数值模型。分别采用有限元法和解析法,对比分析仅在单线活载作用下箱梁约束扭转翘曲应力的大小以及变化规律。通过定义扭转翘曲系数,研究结构设计参数高跨比、高宽比和宽厚比对箱梁约束约束扭转的影响。研究结果表明:按本文方式建立的有限元方法能够有效地模拟箱梁约束扭转效应;在单线活载作用下,跨中截面翘曲系数很大,顶板与腹板交点处翘曲系数为8.94%,悬臂板端部翘曲系数最大,可达10.24%,而1/4截面翘曲系数却很小,几乎接近于0;箱梁的结构设计参数对箱梁约束扭转效应均有一定影响,总体规律是双线铁路箱梁约束扭转效应随着高跨比、高宽比和厚高比的增加而增大。
In order to calculate the restrained torsion effect of double track railway box girders with speed of 250 km/h, a finite element model that simulates the actual boundary conditions is established based on the differential equations and sectional deformation of restrained torsion of box girder. Using finite element method and the traditional analytical method, restrained torsion stress is calculated and analyzed only under single-track live load.By defining parameters of warping ratio, the rules of warping stress influenced by the design parameters of high span ratio, width high ratio and thickness to height ratio are analyzed. The results show that the finite element method can effectively simulate the restrained torsion effect of box girder. Under eccentric live load of single track, the cross section has a great warping ratio, the value of warping ratio on flange edge of top plate is 8.94%,the value of warping ratio on end of cantilever plate is 10.24%, while the warping ratio on section of 1/4 is nearly0. The design parameters of high span ratio, width span ratio and wall thickness can all influence the restrained torsion effect of box girder. The general rule is that the torsion effect of box girder is increased with the increase of high span ratio, high width ratio and high thickness ratio.
In order to calculate the restrained torsion effect of double track railway box girders with speed of 250 km/h, a finite element model that simulates the actual boundary conditions is established based on the differential equations and sectional deformation of restrained torsion of box girder. Using finite element method and the traditional analytical method, restrained torsion stress is calculated and analyzed only under single-track live load.By defining parameters of warping ratio, the rules of warping stress influenced by the design parameters of high span ratio, width high ratio and thickness to height ratio are analyzed. The results show that the finite element method can effectively simulate the restrained torsion effect of box girder. Under eccentric live load of single track, the cross section has a great warping ratio, the value of warping ratio on flange edge of top plate is 8.94%,the value of warping ratio on end of cantilever plate is 10.24%, while the warping ratio on section of 1/4 is nearly0. The design parameters of high span ratio, width span ratio and wall thickness can all influence the restrained torsion effect of box girder. The general rule is that the torsion effect of box girder is increased with the increase of high span ratio, high width ratio and high thickness ratio.
引文
[1]贾卫华.武广高速铁路双线整孔简支箱梁预制技术[J].铁道科学与工程学报, 2010,17(2):74-78.JIA Weihua. Prefabricating technology of double line whole-span simply supported box girder in Wuguang high speed railway[J]. Journal of Railway Science and Engineering, 2010, 17(2):74-78.
[2]黄剑源.薄壁结构的扭转分析[M].北京:中国铁道出版社, 1983.HUANG Jianyuan. Torsional analysis of thin-walled structures[M]. Beijing:China Railway Press, 1983.
[3]项海帆.高等桥梁结构理论[M]. 2版.北京:人民交通出版社, 2013.XIANG Haifan. The higher bridge structure theory[M].2nd ed. Beijing:China Communications Press, 2013.
[4]张元海,李乔.考虑剪滞变形及约束扭转二次剪切变形影响时薄壁曲线箱梁的挠曲扭转分析[J].土木工程学报, 2009, 42(3):93-98.ZHANG Yuanhai, LI Qiao. Flexural-torsional analysis of thin-walled curved box girders with shear lag and secondary shear deformation in restraint torsion[J]. China Civil Engineering Journal, 2009, 42(3):93-98.
[5]徐勋,叶华文,强士中.带悬臂板薄壁箱梁的扭转和畸变分析[J].铁道学报, 2015, 37(10):860-866.XU Xun, YE Huawen, QIANG Shizhong. Torsion anddistortion analasis of thin-walked bok girder with cantilever flangers[J]. Journal of the China Railway Society, 2015, 37(10):860-866.
[6]郭金琼,房贞政,郑振.箱形梁设计理论[M]. 2版.北京:人民交通出版社, 2008.GUO Jinqiong, FANG Zhenzheng, ZHENG Zhen. Design theory of box girder[M]. 2nd ed. Beijing:China Communications Press, 2008.
[7]聂国隽,钱若军.考虑约束扭转的薄壁梁单元刚度矩阵[J].计算结构力学及其应用, 2002, 19(3):344-348.NIE Guojun, QIAN Ruojun. Element stiffness matrix of thin-walled beam considering restrained torsion[J].Chinese Journal of Computational Mechanics, 2002,19(3):344-348.
[8]金声,李开禧,熊晓莉.开口薄壁构件弯扭屈曲的单肢解析化分析方法[J].工程力学, 2009, 26(6):16-20.JIN Sheng, LI Kaixi, XIONG Xiaoli. Slabs-disassembled method of flexural-torsional bucking of thin-walled open-profile members[J]. Engineering Mechanics, 2009,26(6):16-20.
[9]王晓峰,杨庆山.考虑横向和扭转剪切变形的空间薄壁梁单元[J].力学学报, 2013, 45(2):293-296.WANG Xiaofeng, YANG Qingshan. A new spatial thin-walled beam element including transverse and torsional shear deformation[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(2):293-296.
[10]卢彭真,魏召兰,占玉林,等.基于位移场的薄壁箱梁结构约束扭转和畸变效应分析[J].四川大学学报(工程科学版), 2009, 41(1):74-79.LU Pengzhen, WEI Zhaolan, ZHAN Yulin, et al. Analysis of restrained torsion and distortion effect for thin-walled box girder structure based on displacement field[J].Journal of Sichuan University(Engineering Science Edition), 2009, 41(1):74-79.
[11]王增荣,李之榕,李仰训.箱梁扭转畸变的分析[J].铁道学报, 1985, 7(4):87-98.WANG Zengrong, LI Zhirong, LI Yangxun. Analysis on torsion and distortion of box girders[J]. Journal of the China Railway Society, 1985, 7(4):87-98.
[12]蔺鹏臻,孙理想,冀伟,等.时速250 km/h铁路双线箱梁的畸变效应研究[J].铁道科学与工程学报, 2016,13(4):595-599.LIN Pengzhen, SUN Lixiang, JI Wei, et al. Distortion effect of double track railway box girders with speed of250 km/h[J]. Journal of Railway Science and Engineering,2016, 13(4):595-599.
[13] TB10002.3—2005,铁路桥涵钢筋混凝土和预应力混凝土结构设计规范[S].TB10002.3—2005, Code for design on reinforced and prestressed concrete structure of railway bridge and culvert[S].
[14] TB 10020—2009,高速铁路设计规范(试行)[S].TB 10020—2009, Code for design of high speed railway[S].
[2]黄剑源.薄壁结构的扭转分析[M].北京:中国铁道出版社, 1983.HUANG Jianyuan. Torsional analysis of thin-walled structures[M]. Beijing:China Railway Press, 1983.
[3]项海帆.高等桥梁结构理论[M]. 2版.北京:人民交通出版社, 2013.XIANG Haifan. The higher bridge structure theory[M].2nd ed. Beijing:China Communications Press, 2013.
[4]张元海,李乔.考虑剪滞变形及约束扭转二次剪切变形影响时薄壁曲线箱梁的挠曲扭转分析[J].土木工程学报, 2009, 42(3):93-98.ZHANG Yuanhai, LI Qiao. Flexural-torsional analysis of thin-walled curved box girders with shear lag and secondary shear deformation in restraint torsion[J]. China Civil Engineering Journal, 2009, 42(3):93-98.
[5]徐勋,叶华文,强士中.带悬臂板薄壁箱梁的扭转和畸变分析[J].铁道学报, 2015, 37(10):860-866.XU Xun, YE Huawen, QIANG Shizhong. Torsion anddistortion analasis of thin-walked bok girder with cantilever flangers[J]. Journal of the China Railway Society, 2015, 37(10):860-866.
[6]郭金琼,房贞政,郑振.箱形梁设计理论[M]. 2版.北京:人民交通出版社, 2008.GUO Jinqiong, FANG Zhenzheng, ZHENG Zhen. Design theory of box girder[M]. 2nd ed. Beijing:China Communications Press, 2008.
[7]聂国隽,钱若军.考虑约束扭转的薄壁梁单元刚度矩阵[J].计算结构力学及其应用, 2002, 19(3):344-348.NIE Guojun, QIAN Ruojun. Element stiffness matrix of thin-walled beam considering restrained torsion[J].Chinese Journal of Computational Mechanics, 2002,19(3):344-348.
[8]金声,李开禧,熊晓莉.开口薄壁构件弯扭屈曲的单肢解析化分析方法[J].工程力学, 2009, 26(6):16-20.JIN Sheng, LI Kaixi, XIONG Xiaoli. Slabs-disassembled method of flexural-torsional bucking of thin-walled open-profile members[J]. Engineering Mechanics, 2009,26(6):16-20.
[9]王晓峰,杨庆山.考虑横向和扭转剪切变形的空间薄壁梁单元[J].力学学报, 2013, 45(2):293-296.WANG Xiaofeng, YANG Qingshan. A new spatial thin-walled beam element including transverse and torsional shear deformation[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(2):293-296.
[10]卢彭真,魏召兰,占玉林,等.基于位移场的薄壁箱梁结构约束扭转和畸变效应分析[J].四川大学学报(工程科学版), 2009, 41(1):74-79.LU Pengzhen, WEI Zhaolan, ZHAN Yulin, et al. Analysis of restrained torsion and distortion effect for thin-walled box girder structure based on displacement field[J].Journal of Sichuan University(Engineering Science Edition), 2009, 41(1):74-79.
[11]王增荣,李之榕,李仰训.箱梁扭转畸变的分析[J].铁道学报, 1985, 7(4):87-98.WANG Zengrong, LI Zhirong, LI Yangxun. Analysis on torsion and distortion of box girders[J]. Journal of the China Railway Society, 1985, 7(4):87-98.
[12]蔺鹏臻,孙理想,冀伟,等.时速250 km/h铁路双线箱梁的畸变效应研究[J].铁道科学与工程学报, 2016,13(4):595-599.LIN Pengzhen, SUN Lixiang, JI Wei, et al. Distortion effect of double track railway box girders with speed of250 km/h[J]. Journal of Railway Science and Engineering,2016, 13(4):595-599.
[13] TB10002.3—2005,铁路桥涵钢筋混凝土和预应力混凝土结构设计规范[S].TB10002.3—2005, Code for design on reinforced and prestressed concrete structure of railway bridge and culvert[S].
[14] TB 10020—2009,高速铁路设计规范(试行)[S].TB 10020—2009, Code for design of high speed railway[S].