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摘要: 为研究车桥耦合振动对双层公路钢桁桥冲击效应的影响, 基于分离法, 以车轮与桥面接触点为界, 将车桥耦合振动系统分为车辆与桥梁2个子系统, 分别采用虚功原理与有限元法建立各自的运动方程, 并通过车轮与桥面接触处的位移协调条件及车桥相互作用力的平衡关系相联系, 采用迭代法求解系统响应。以某双层公路简支钢桁梁桥为研究对象, 应用ANSYS软件建立三维梁格有限元模型, 分析了车速、桥梁阻尼、桥面平整度及不同加载模式对车桥耦合振动的影响。研究结果表明: 车速与双层钢桁梁桥冲击系数之间没有规律性的函数关系; 桥梁阻尼增大, 能使钢桁桥杆件内力、位移冲击系数适当降低; 桥面平整度是车桥耦合振动的一个重要激励, 桥面状况越差则车辆振动越强烈, 对桥梁的整体和局部产生的冲击作用越大; 单双层加载模式的不同对桥梁整体的动力响应改变不大, 但是对局部动力响应的影响比较明显, 应在桥梁设计时考虑局部冲击效应的影响。Abstract: In order to study the impact effect of vehicle-bridge coupled vibration on highway double-deck steel truss bridge, contact point between wheel and bridge surface was regarded as fringe, vehicle-bridge coupled vibration system was divided into vehicle subsystem and bridge subsystem based on separation method. The motion equations of vehicle subsystem and bridge subsystem were established respectively by using virtual work principle and finite element method. Vehicle subsystem was connected with bridge subsystem through displacement coordination condition and the balance relation of vehicle-bridge interaction at contact point between wheel and bridge surface, and system response was obtained by using iterative method. A highway double-deck simply-supported steel truss bridge was taken as study case, 3D beam grillage finite element model was established by using ANSYS software, and the influences of vehicle speed, bridge damping, bridge surface roughness and different loading modes on vehicle-bridge coupled vibration were studied. Analysis result indicates that there is not very regular function relation between vehicle speed and the impact factor of highway double-deck steel truss bridge. The impact factors of internal force and displacement for all bars become smaller with the increase of bridge damping. Bridge surface roughness is an important incentive for vehicle-bridge coupled vibration, poor bridge surface can make vehicle vibration more intense, and can induce greater impact effect on the whole and part of bridge. When loading modes of single layer and double-layer are different, the whole dynamic responses of bridge change little, the local dynamic responses of bridge are more obvious, so local impact effect should be considered in the design of bridge.
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表 1 技术参数
Table 1. Technical parameters
表 2 不同车速时主要杆件动力响应
Table 2. Dynamic responses of main bars at different vehicle speeds
表 3 不同阻尼比时主要杆件动力响应
Table 3. Dynamic responses of main bars with different damping ratios
表 4 不同加载模式时主要杆件动力响应
Table 4. Dynamic responses of main bars with different loading modes
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[1] 刘永健, 刘剑, 刘君平, 等. 刚性悬索加劲钢桁梁桥施工阶段全桥模型试验研究[J]. 土木工程学报, 2010, 43(2): 72-78. https://www.cnki.com.cn/Article/CJFDTOTAL-TMGC201002015.htmLIU Yong-jian, LIU Jian, LIU Jun-ping, et al. Integral model test of steel truss bridge stiffened with rigid cables in construction stage[J]. China Civil Engineering Journal, 2010, 43(2): 72-78. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TMGC201002015.htm [2] 刘永健, 刘世忠, 张俊光, 等. 三桁钢桁梁桥横桥向内力调整方法及影响参数[J]. 广西大学学报: 自然科学版, 2011, 36(1): 75-82. doi: 10.3969/j.issn.1001-7445.2011.01.012LIU Yong-jian, LIU Shi-zhong, ZHANG Jun-guang, et al. Internal force adjustment of three main trusses and the parameters that influence it in steel truss bridge with three main trusses and double decks[J]. Journal of Guangxi Uni-versity: Natural Science Edition, 2011, 36(1): 75-82. (in Chinese). doi: 10.3969/j.issn.1001-7445.2011.01.012 [3] 刘永健, 张俊光, 黄健超, 等. 双层桥面三桁刚性悬索加劲钢桁梁桥全桥试验模型[J]. 建筑科学与工程学报, 2008, 25(3): 61-65. doi: 10.3321/j.issn:1673-2049.2008.03.012LIU Yong-jian, ZHANG Jun-guang, HUANG Jian-chao, et al. Test model of whole bridge of double-deck and three main trusses steel bridge with rigid cable[J]. Journal of Architec-ture and Civil Engineering, 2008, 25(3): 61-65. (in Chinese). doi: 10.3321/j.issn:1673-2049.2008.03.012 [4] 方秦汉, 高宗余, 李加武. 中国铁路钢桥的发展历程及展望[J]. 建筑科学与工程学报, 2008, 25(4): 1-5. doi: 10.3321/j.issn:1673-2049.2008.04.001FANG Qin-han, GAO Zong-yu, LI Jia-wu. Development course and prospect of steel railway bridges in China[J]. Journal of Architecture and Civil Engineering, 2008, 25(4): 1-5. (in Chinese). doi: 10.3321/j.issn:1673-2049.2008.04.001 [5] 米静. 车桥耦合振动对双层钢桁桥的冲击作用研究[D]. 西安: 长安大学, 2011.MI Jing. Study on the dynamic response of double-deck steel truss bridge under moving vehicles[D]. Xi'an: Chang'an University, 2011. (in Chinese). [6] 李小珍, 张黎明, 张洁. 公路桥梁与车辆耦合振动研究现状与发展趋势[J]. 工程力学, 2008, 25(3): 230-240. https://www.cnki.com.cn/Article/CJFDTOTAL-GCLX200803041.htmLI Xiao-zhen, ZHANG Li-ming, ZHANG Jie. State-of-the-art review and trend of studies on coupling vibration for vehicle and highway bridge system[J]. Engineering Mechanics, 2008, 25(3): 230-240. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-GCLX200803041.htm [7] KAWATANI M, KOMATSU S. Nonstationary random response of highway bridges under a series of moving vehicles[J]. Structural Engineering/Earthquake Engineering, 1988, 5(2): 285-292. [8] WANG T L, HUANG D Z. Cable-stayed bridge vibration due to road surface roughness[J]. Journal of Structural Engin-eering, 1992, 118(5): 1354-1374. doi: 10.1061/(ASCE)0733-9445(1992)118:5(1354) [9] CHATTERJEE P K, DATTA T K, SURANA C S. Vibra-tion of continuous bridges under moving vehicles[J]. Journal of Sound and Vibration, 1994, 169(5): 619-632. doi: 10.1006/jsvi.1994.1037 [10] ZHENG D Y, CHEUNG Y K, AU F T K, et al. Vibration of multi-span non-uniform beams under moving loads by using modified beam vibration functions[J]. Journal of Sound and Vibration, 1998, 212(3): 455-467. doi: 10.1006/jsvi.1997.1435 [11] 沈火明, 肖新标. 求解车桥耦合振动问题的一种数值方法[J]. 西南交通大学学报, 2003, 38(6): 658-662. doi: 10.3969/j.issn.0258-2724.2003.06.011SHEN Huo-ming, XIAO Xin-biao. Numerical method for vehicle-bridge coupled vibrations[J]. Journal of Southwest Jiaotong University, 2003, 38(6): 658-662. (in Chinese). doi: 10.3969/j.issn.0258-2724.2003.06.011 [12] 严志刚, 陈彦江, 盛洪飞. 钢管混凝土拱桥在车辆荷载作用下的非线性动力响应分析[J]. 中国公路学报, 2003, 16(1): 58-61, 67. doi: 10.3321/j.issn:1001-7372.2003.01.015YAN Zhi-gang, CHEN Yan-jiang, SHENG Hong-fei. Dynamic nonlinear response analysis of arch bridges of concrete filled steel tube due to the vehicle[J]. China Journal of Highway and Transport, 2003, 16(1): 58-61, 67. (in Chinese). doi: 10.3321/j.issn:1001-7372.2003.01.015 [13] 丁南宏, 林丽霞, 孙迎秋, 等. 公路连拱桥在单车荷载下振动的理论和试验研究[J]. 兰州交通大学学报: 自然科学版, 2005, 24(3): 28-32. doi: 10.3969/j.issn.1001-4373.2005.03.009DING Nan-hong, LIN Li-xia, SUN Ying-qiu, et al. Theoretical and experimental study of highway arcade bridge's vibrationunder single vehicle load[J]. Journal of Lanzhou Jiaotong University: Natural Sciences, 2005, 24(3): 28-32. (in Chinese). doi: 10.3969/j.issn.1001-4373.2005.03.009 [14] 王达, 刘扬, 黄平明. 随机车流作用下双曲拱桥车-桥耦合振动研究[J]. 中国公路学报, 2009, 22(6): 67-73. doi: 10.3321/j.issn:1001-7372.2009.06.010WANG Da, LIU Yang, HUANG Ping-ming. Research on vehicle-bridge coupled vibration for two-way curved arch bridge under random traffic flow[J]. China Journal of High-way and Transport, 2009, 22(6): 67-73. (in Chinese). doi: 10.3321/j.issn:1001-7372.2009.06.010 [15] 米静, 刘永健, 刘剑. 车-桥耦合振动冲击效应对简支板的影响[J]. 中国科技论文在线, 2010, 5(7): 516-521. doi: 10.3969/j.issn.2095-2783.2010.07.006MI Jing, LIU Yong-jian, LIU Jian. Impact influence of vehicle-bridge coupled vibration on simply-supported slab[J]. Science-paper Online, 2010, 5(7): 516-521. (in Chinese). doi: 10.3969/j.issn.2095-2783.2010.07.006 [16] 王达, 韩万水, 黄平明, 等. 桥面平整度对大跨度悬索桥车桥耦合振动的影响[J]. 长安大学学报: 自然科学版, 2009, 29(4): 53-58. doi: 10.3321/j.issn:1671-8879.2009.04.012WANG Da, HAN Wan-shui, HUANG Ping-ming, et al. Influence of bridge surface roughness on vehicle-bridge coupled vibration of long-span suspension bridge[J]. Journal of Chang'an University: Natural Science Edition, 2009, 29(4): 53-58. (in Chinese). doi: 10.3321/j.issn:1671-8879.2009.04.012 [17] GB/T7031—1986, 车辆振动输入路面平度表示方法[S].GB/T7031—1986, vehicle vibration-describing method for road surface irregularity[S]. (in Chinese). [18] 施颖, 宋一凡, 孙慧, 等. 基于ANSYS的公路复杂桥梁车桥耦合动力分析方法[J]. 天津大学学报, 2010, 43(6): 537-543. doi: 10.3969/j.issn.0493-2137.2010.06.012SHI Ying, SONG Yi-fan, SUN Hui, et al. Dynamic analysis method of vehicle-bridge coupling for complicated bridges based on ANSYS[J]. Journal of Tianjin University, 2010, 43(6): 537-543. (in Chinese). doi: 10.3969/j.issn.0493-2137.2010.06.012 [19] 刘其伟, 王成明, 李捷. 装配式空心板桥荷载横向分布计算方法比较分析[J]. 建筑科学与工程学报, 2011, 28(2): 100-105. https://www.cnki.com.cn/Article/CJFDTOTAL-XBJG201102018.htmLIU Qi-wei, WANG Cheng-ming, LI Jie. Comparison and analysis of calculation method of transverse load distribution for fabricated hollow slab bridges[J]. Journal of Architecture and Civil Engineering, 2011, 28(2): 100-105. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-XBJG201102018.htm [20] 李德建, 彭彦. 既有简支铰接空心板梁桥结构状况动力评估[J]. 建筑科学与工程学报, 2009, 26(4): 24-29. doi: 10.3321/j.issn:1673-2049.2009.04.004LI De-jian, PENG Yan. Dynamic assessment about existing simply-supported hinge joint celluar slab bridges[J]. Journal of Architecture and Civil Engineering, 2009, 26(4): 24-29. (in Chinese). doi: 10.3321/j.issn:1673-2049.2009.04.004 [21] JTG D60—2004, 公路桥涵设计通用规范[S]. JTG D60—2004, general code for design of highway bridges and culverts[S]. (in Chinese).