The coexistence and dynamic development of multi-state traffic flow in mass fog bridge area lead to drastic change of vertical action density and dynamic application of longitudinal force. In order to analyze the structure effect in the fog environment, two key problems need to be solved, which are the development of the simulation vehicle flow under the mass fog and the improvement of the vehicle bridge coupling mechanical relationship. Firstly, the fog boundary was vertical, and the actual mass fog was abstracted as the mass fog box. According to the popular characteristics of mass fog vehicles, the mass fog bridge area was continuously divided, and the calculation method of vehicle flow characteristic parameters of each bridge section was deduced and determined, forming the development model of vehicle flow under the condition of mass fog, solved the establishment of multi-stage speed change points in the traffic flow model with the method of group mass fog identification. The simulation program was compiled and connected. Secondly, The state of motion in which a vehicle decelerates first, then moves at a constant speed and finally accelerates in mass fog, it broke through the general rule of once constant speed change of macro traffic flow and need to match the mechanical model of vehicle transmission and integrate into the vehicle bridge coupling system to construct the response analysis platform of vehicle bridge system under the condition of mass fog. Finally, Taking a typical cable-stayed bridge as the background, the influence factors and analysis indexes of the bridge response to the mass fog were calculated and determined, and the parameter analysis of the influence of the fog range and location factors on the bridge response was carried out. The results show that the displacement along the bridge and the vertical displacement of the bridge under the condition of mass fog exceed the condition of the same ownership and the standard traffic flow, the maximum value appears as the mass fog in the middle of the span, the uneven distribution of vehicle load and the longitudinal force caused by mass fog on the bridge cannot be ignored; as the mass fog range is constant, with the mass fog moving to both ends of the bridge, the influence of the mass fog on the longitudinal and vertical displacement response of the bridge decreases gradually; as the mass fog center is fixed in the middle of the bridge, with the mass fog range increasing, the displacement of the beam along the bridge increases first and then decreases, and the vertical displacement decreases gradually and approaches to 1.
刘焕举,刘宁. 团雾环境下车流发展仿真及车-桥耦合振动分析[J]. 振动与冲击, 2022, 41(6): 106-114.
LIU Huanju,LIU Ning. Simulation of vehicle flow development and analysis of vehicle bridge coupling vibration in mass fog environment. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(6): 106-114.
[1] 彭献,刘子建,洪家旺.匀变速移动质量与简支梁耦合系统的振动分析[J].工程力学,2006,23(6):25-29.
PENG Xian, LIU Zijian, ZHAN Jiawang. Vibration analysis of a simpley supported beam under moving mass with uniformly variable speeds[J]. Engineering Mechanics, 2006,23(6):25-29.
[2] Michaltsos G T. Dynamic behavior of a single-span beam subjected to loads moving with variable speeds[J]. Journal of Sound and Vibration, 2002, 258(2): 359~372.
[3] YANG Y B, WU Y S. A Versatile element for analyzing vehicle-bridge interaction response[J]. Engineering Structures, 2001, 23 (5): 452-469.
[4] 陈上有,夏禾,战家旺,等. 变速移动荷载作用下简支梁的动力响应分析[J].中国铁道科学,2007,28(6):41-46.
CHEN Shangyou, XIA He, ZHAN Jiawang, et al. Dynamic response analysis of simply-supported beam under speed-varying loads[J].China Railway Science,2007,28(6):41-46.
[5] 王少钦,夏禾,郭薇薇,等. 变速移动荷载作用下简支梁桥的动力响应及共振分析[J]. 振动与冲击,2010,29(2):26-30.
WANG Shaoqin, XIA He, GUO Weiwei, et al. Dynamic response and resonance analyses for a simply-supported bridge under speed-varying loads[J]. Journal of Vibration and Shock, 2010,29(2): 26-30.
[6] 朱嘉科,易灵芝. 变速移动车辆荷载作用下车桥耦合系统动力特性分析[J]. 科技导报,2020,30:37-38.
ZHU Jiake, YI Lingzhi. Analysis of dynamic characteristics of coupling system of vehicle bridge under the load of variable speed moving vehicle[J]. Science Technology Information, 2020,30:37-38.
[7] 邵元,孙宗光,陈一飞. 变速车辆作用下拱桥吊杆的动态内力分析[J].工程力学,2017,34(S1):179-184.
SHAO Yuan, SUN Zongguang, CHEN Yifei. Analysis of the dynamic stress response of the hangers in arch bridge under speed-varying vehicle[J]. Engineering Mechanics,2017,34(S1): 179-184.
[8] YIN X, FANG Z, CAI C S, et al. Non-stationary random vibration of bridges under vehicles with variable speed[J]. Engineering Structures, 2010, 32 (8): 2166-2174.
[9] YANG M G, CAI C S, WEI B. A Combined control strategy for vibration mitigations of a suspension bridge induced by vehicle braking force[J].The Baltic Journal of Road and Bridge Engineering,2015,10(2):118-125
[10] 刘焕举,韩万水,刘宁,等. 刹车状况下桥上随机车流动态演化及车-桥耦合振动分析[J]. 中国公路学报,2020,33(4):76-88.
LIU Huanju,HAN Wanshui,LIU Ning,et al. Dynamic evolution of stochastic vehicle flow on bridge under braking conditions and analysis of vehicle-bridge coupled vibration[J]. China Journal of Highway and Transport,,2020,33(4):76-88.
[11] 王颖泽,张小兵.变速多移动质量耦合作用下柔性梁系统振动响应分析[J].振动与冲击,2011,30(8):56-66.
WANG Yingze, ZHANG Xiaobing. Vibration analysis of flexible beam under the action of multi-moving masses with variable speeds[J]. Journal of Vibration and Shock,2011,30(8):56-66.
[12] DENG L, WANG F, HE W. Dynamic impact factors for simply-supported bridges due to vehicle braking[J]. Advances in Structural Engineering, 2015, 18 (6): 791-801.
[13] ZHAO Z S, UDDIN N . Field calibrated simulation model to perform bridge safety analyses against emergency braking of trucks[J]. Engineering Structures,2013,56:2253-2262.
[14] LAW S S, ZHU X Q. Bridge dynamic responses due to road surface roughness and braking of vehicle[J]. Journal of Sound & Vibration, 2005, 282 (3-5): 805-830.
[15] 杨孟刚,舒高华,乔建东. 基于MR阻尼器的纵飘桥梁车辆制动力和地震作用下的混合控制[J].土木工程学报,2014,47(S1):142-147.
YANG Menggang, SHU Gaohua, QIAO Jiandong. Hybrid control on longitudinal responses of floating bridges induced by vehicle braking forces and earthquake excitations using MR dampers[J].China Civil Engineering Journal, 2014,47(S1):142-147.
[16] HAN W S, LIU H J, WU J, et al. Dynamic analysis of long-span cable-stayed bridges under wind and traffic using aerodynamic coefficients considering aerodynamic interference[J]. Wind and Structures,2017, 24(5):405-430.
[17] 韩万水,刘焕举,黄平明,等. 大跨钢桁悬索桥风-车-桥分析系统建立与可视化实现[J].土木工程学报,2018,51(3):50-58
HAN Wanshui, LIU Huanju, BAO Dahai, et al. Establishment and visualization of wind-vehicle-bridge analysis system for the large-span steel truss suspension bridge[J]. China Civil Engineering Journal, 2018, 51(3): 50-58.