COUPLING VIBRATION OF VEHICLE-BRIDGE SYSTEM

By applying the sinusoidal wave mode to simulate the rugged surface of bridge deck,accounting for vehicle-bridge interaction and using Euler-Bernoulli beam theory, a coupling vibration model of vehicle-bridge system was developed. The model was solved by mode analyzing method and Runge-Kutta method, and the dynamic response and the resonance curve of the bridge were obtained. It is found that there are two resonance regions, one represents the main resonance while the other the minor resonance, in the resonance curve. The influence due to the rugged surface, the vibration mode of bridge, and the interaction between vehicle and bridge on vibration of the system were discussed. Numerical results show that the influence due to these parameters is so significant that the effect of roughness of the bridge deck and the mode shape of the bridge can't be ignored and the vehicle velocity should be kept away from the critical speed of the vehicle.

Effects of fundamental factors on coupled vibration of wind-rail vehicle-bridge system for long-span cable-stayed bridge

In a wind-vehicle-bridge(WVB) system,there are various interactions among wind,vehicle and bridge.The mechanism for coupling vibration of wind-vehicle-bridge systems is explored to demonstrate the effects of fundamental factors,such as mean wind,fluctuating wind,buffeting,rail irregularities,light rail vehicle vibration and bridge stiffness.A long cable-stayed bridge which carries light rail traffic is regarded as a numerical example.Firstly,a finite element model is built for the long cable-stayed bridge.The deck can generally be idealized as three-dimensional spine beam while cables are modeled as truss elements.Vehicles are modeled as mass-spring-damper systems.Rail irregularities and wind fluctuation are simulated in time domain by spectrum representation method.Then,aerodynamic loads on vehicle and bridge deck are measured by section model wind tunnel tests.Eight vertical and torsional flutter derivatives of bridge deck are identified by weighting ensemble least-square method.Finally,dynamic responses of the WVB system are analyzed in a series of cases.The results show that the accelerations of the vehicle are excited by the fluctuating wind and the track irregularity to a great extent.The transverse forces of wheel axles mainly depend on the track irregularity.The displacements of the bridge are predominantly determined by the mean wind and restricted by its stiffness.And the accelerations of the bridge are enlarged after adding the fluctuating wind.

Numerical analysis of dynamic response of vehicle–bridge coupled system on long-span continuous girder bridge

To systematically study the vehicle-bridge coupled dynamic response and its change rule with different parameters, a vehicle model with seven degrees of freedom was built and the total potential energy of vehicle space vibration system was deduced. Considering the stimulation of road roughness, the dynamic response equation of vehicle-bridge coupled system was established in accordance with the elastic system principle of total potential energy with stationary value and the ＂set-in-right-position＂ rule. On the basis of the self-compiled Fortran program and bridge engineering, the dynamic response of long- span continuous girder bridge under vehicle load was studied. This study also included the calculation of vehicle impact coefficient, evaluation of vibration comfort, and analysis of dynamic response parameters. Results show the impact coefficient changes with lane number and is larger than the value calculated by the ＂general code for design of highway bridges and culverts （China）＂. The Dieckmann index of bridge vibration is also related to lane number, and the vibration comfort evaluation is good in normal conditions. The relevant conclusions from parametric analyses have practical significance to dynamic design and daily operation of long-span continuous girder bridges in expressways. Safety and comfort are expected to improve significantly with further control of the vibration of vehicle-bridge system.

Impact coefficient and reliability of mid-span continuous beam bridge under action of extra heavy vehicle with low speed

To analyze the dynamic response and reliability of a continuous beam bridge under the action of an extra heavy vehicle, a vehicle–bridge coupled vibration model was established based on the virtual work principle and vehicle–bridge displacement compatibility equation, which can accurately simulate the dynamic characteristics of the vehicle and bridge. Results show that deck roughness has an important function in the effect of the vehicle on the bridge. When an extra heavy vehicle passes through the continuous beam bridge at a low speed of 5 km/h, the impact coefficient reaches a high value, which should not be disregarded in bridge safety assessments. Considering that no specific law exists between the impact coefficient and vehicle speed, vehicle speed should not be unduly limited and deck roughness repairing should be paid considerable attention. Deck roughness has a significant influence on the reliability index, which decreases as deck roughness increases. For the continuous beam bridge in this work, the reliability index of each control section is greater than the minimum reliability index. No reinforcement measures are required for over-sized transport.

Seismic response analysis of road vehicle-bridge system for continuous rigid frame bridges with high piers

The objective of this study is to investigate the effects of earthquakes on road vehicle-bridge coupling vibration systems. A two-axle highway freight vehicle is treated as a 13 degree-of-freedom system composed of several rigid bodies, which are connected by a series of springs and dampers. The framework of the earthquake-vehicle-bridge dynamic analysis system is then established using an earthquake as the extemal excitation. The equivalent lateral contact force serves as the judgment criteria for sideslip accidents according to reliability theory. The entire process of the vehicle crossing the bridge is considered for a very high pier continuous rigid frame bridge. The response characteristics of the vehicle and the bridge are discussed in terms of various parameters such as earthquake ground motion, PGA value of the earthquake, incident angle, pier height, vehicle speed and mass. It is found that seismic excitation is the most influential factor in the responses of the vehicle-bridge system and that the safety of vehicles crossing the bridge is seriously impacted by the dual excitations of earthquake and bridge vibration.

Dynamic Characteristics of Metro Vehicle under Thermal Deformation of Long-Span Cable-Stayed Bridge

In order to study the influence of thermal deformation of long-span cable- stayed bridge (LSCSB) on the dynamic characteristics of metro vehicle on the bridge, based on the theory of vehicle-track coupled dynamics, the rigid-flexible coupled dynamic model of metro vehicle-track-LSCSB system is established by using finite element method and multi-rigid-body dynamics. Adopting this model, the deformation of LSCSB subject to temperature is analyzed, then the comprehensive effect of track random irregularity and rail deformation caused by temperature load is considered to study the dynamic characteristics of metro vehicle running through the bridge, and finally the influences of temperature increment and running speed on concerned dynamic indices of vehicle are studied. The results show that the LSCSB deforms obviously subject to temperature load, and the overall performance is that the cooling is arched, and the heating is bent, and the shape variable changes almost linearly with the temperature load. According to the parameters studied in this paper, the rail deformation caused by temperature load increases the wheel-rail vertical force, derailment coefficient and wheel load reduction rate by 1.5%, 3.1% and 5% respectively. The vertical acceleration of the vehicle body decreases by 2.4% under the cooling condition, while increases by 3.7% under the heating condition. The dynamic response of the bridge changes under temperature load. The maximum vertical and horizontal displacement in the middle of the main beam span are 6.24 mm and 2.19 mm respectively, and the maximum vertical and horizontal acceleration are 1.29 cm/s2 and 2.54cm/s2 respectively. The derailment coefficient and vertical acceleration of vehicle body are more affected by temperature load, and the wheel load reduction rate and wheel-rail vertical force are more affected by speed. The conclusion of this paper provides a reference for subsequent scholars to study the influence of thermal deformation on the dynamic response of vehicles on LSCSB.

Natural Frequency of the Bridge—Vehicle Coupled System Considering Uniform Distributed Moving Load

Natural frequencies of the bridge—vehicle coupling system considering uniform distributed load varying with position is investigated in this work.An analytic model of a simply supported beam bridge with constant section is introduced to establish the frequency equations of the coupled system.Comparisons with the results between analytic model and FEM indicate that the present research is correct and reasonable.In view of an example bridge,natural frequencies are studied on the bridge subjected to uniform distributed moving loads in cases of different weight and span,by which some regular phenomenon are obtained.The present study can apply in the engineering problem of interaction between bridges and moving loads such as trains and tracked vehicles.

车桥耦合连续梁-拱组合桥冲击系数研究

为了得到连续梁-拱组合桥真实的冲击系数,以某三跨连续梁-钢管混凝土拱组合桥为依托,考虑车桥耦合振动效应,利用ANSYS建立大桥空间梁单元模型和车辆的三轴半车模型,分析桥面不平度、车速、车辆数对主梁不同部位及不同响应冲击系数的影响,并以车速和桥面不平度为自变量得到冲击系数二元回归公式,最后利用2座基频相近桥梁冲击系数的实测数据验证该公式。结果表明:桥面不平度对冲击系数影响最大,当桥面不平度达到B级以上,冲击系数超过规范值,最大可达规范值5.42倍;对于主梁,不同外部激励、不同响应和不同部位的冲击系数存在差异,部分冲击系数超出规范值;该文给出的冲击系数回归公式可用于类似结构主梁冲击系数估算。

地震作用下车辆-公路桥梁耦合作用的能量机理

由于地震作用下车辆和公路桥梁相互耦合作用的复杂性,目前对其相互作用机理的研究较少,导致各国现行公路桥梁抗震设计规范关于桥梁在地震作用时是否需要考虑活载作用仍然存在分歧.现有研究表明,车辆既可能对桥梁的地震响应产生有利影响,也可能产生不利的影响.本文在已有的研究基础上,对车桥耦合接触行为进行简化模拟,采用能量法对车辆-公路桥梁耦合作用机理进行分析.结果表明:车桥耦合作用对输入到桥梁水平方向能量的影响可以忽略不计,但会导致输入到桥梁竖向总能量的减小,因而使桥梁的竖向地震响应减小,而输入到车辆竖向的能量则主要来自桥面振动;此外,车辆质量越小,桥梁振动产生的对车辆水平方向的能量输入越大.

基于车桥耦合的钢-混凝土组合连续梁桥局部疲劳分析

钢-混凝土组合梁桥在满足使用性能的同时也会发生疲劳损伤,在桥梁设计和使用阶段应保证桥梁不发生疲劳破坏。为研究不同因素对桥梁疲劳损伤的影响,选取一座双工字钢-混凝土组合连续梁桥,采用车桥耦合分析程序对不同的车速、车重、桥面不平整度、桥面板厚度和主梁腹板高度下主梁的疲劳损伤进行分析。首先计算不同影响因素下桥梁的动应力,分析应力幅和等效应力幅个数的变化规律;然后分析应力幅冲击系数随各影响因素的变化规律;最后分析不同影响因素下主梁疲劳细节位置的疲劳损伤。研究结果表明:车重、桥面不平整度和主梁腹板高度对应力幅的影响较大,桥面不平整度对等效应力幅个数和应力幅冲击系数的影响较大;桥面不平整度通过改变应力幅冲击系数以影响应力幅,当桥面不平整度为C级及以下时,应力幅冲击系数偏离规范值;车重、桥面不平整度、主梁腹板高度对主梁疲劳损伤的影响较大,在超载和刚度储备不足的情况下主梁会发生疲劳破坏,应通过限载、及时维修桥面和提高主梁刚度的方法减小主梁的疲劳损伤。

预应力效应对中速磁浮线路简支梁车-桥耦合振动响应的影响

以长沙磁浮线路简支梁桥为研究对象,建立考虑不同预应力效应的磁浮线路简支梁桥车-桥耦合振动模型,分析预应力效应对中速磁浮线路车-桥耦合振动响应的影响。结果表明:预应力效应的变化对桥梁动力响应影响明显,预应力增加显著加剧桥梁竖向振动加速度,预应力由0.67P0(P0为张拉控制应力)增加到1.33P0时,桥梁跨中竖向最大加速度从0.21 m/s^(2)增至0.44 m/s^(2);车速增加会加剧预应力效应的影响,对桥梁竖向振动加速度的影响尤为明显,车速由20 km/h增加到200 km/h时,在1.00P0作用下,桥梁跨中竖向最大加速度从0.15 m/s^(2)增至0.76 m/s^(2);箱壁局部变形对车-桥耦合竖向振动响应有显著影响,预应力导致的箱壁局部变形不可忽略。

桥梁抗风型TMD对车-桥耦合振动系统减振性能研究

为研究桥梁抗风型调谐质量阻尼器(tuned mass damper, TMD)对车辆荷载引起结构振动的减振效果,并揭示车载作用下的TMD激振机理,提出了基于模态动能演化的多自由度结构TMD控制方法,确定了安装TMD的最优设计参数和布设位置;考虑桥梁有限元模型动力求解的通用性,基于桥梁三维动力分析系统BDANS软件建立了车-桥-TMD动力耦合分析系统;以经典单自由度移动弹簧质量过简支梁模型为研究对象,分析了车-桥-TMD系统振动特性,结合某深水区非通航桥梁抗风型TMD工程实例分析了TMD对车致振动的减振效果和机理。研究结果表明:TMD行程幅值与减振效果呈现正相关特点,即行程幅值越大对车-桥动力效应引起的振动减振效果越好;安装TMD可以显著提高结构的等效阻尼比,满足等效阻尼比>1%的工程需求,提高桥梁结构振动的稳定性;TMD在一定条件下可以减小车辆通过时引发桥梁竖向位移冲击效应,最大可减少3%左右;TMD对车-桥2个子系统的加速度瞬态峰值均起到了一定的抑制效果,尤其对桥梁结构竖向振动加速度作用效果明显,安装TMD后的桥梁跨中竖向振动加速度RMS值减少约20%;对大跨钢箱桥梁而言,相比较小的车辆荷载冲击效应,一阶竖弯呈邻跨反对称特性的桥梁结构在车辆通行过程中更容易激起TMD,使桥梁结构获得更佳的减振效果。

考虑冲刷效应的大跨桥梁地震-风-车-桥耦合振动分析

为研究冲刷效应对地震与风联合作用下大跨桥梁动力响应的影响,在已建立的地震-风-车-桥耦合振动分析模型基础上,利用p-y曲线(p为土阻力,y为变形)折减法考虑不同冲刷深度的桩土荷载-位移关系,根据桩土荷载-位移关系和冲刷深度更新桩基的侧向支撑刚度和长度,从而考虑了冲刷效应对大跨桥梁动力响应的影响,并将模型应用到江顺大桥冲刷效应的分析研究中.研究结果表明:基础冲刷减弱了地基土对结构的侧向约束,从而降低结构的自振频率,侧向振型的自振频率最大降低6.01%;在运营车辆和风荷载作用下,基础冲刷对结构的振动响应影响很小;在地震发生后,基础冲刷会增大结构的横向振动,结构的横向位移响应极值最大增大9.1%,横向位移响应谱也相应增大,而对结构的竖向振动影响很小;基础冲刷可能减小车辆横向加速度的响应,车辆的横向加速度响应极值最大降低7.7%,对车辆的竖向振动影响很小.

车-桥耦合作用下曲线钢混组合梁桥支座动态行为分析

针对曲线钢混组合连续梁桥在车辆动载作用下的支座动态响应问题,分别构建考虑桥面横向超高和纵向高程变化的桥梁精细化有限元模型和基于实际重载车辆多刚体实车模型,采用基于弹性地基梁理论的Fiala轮胎模拟胎-路接触关系,从而建立车-曲线桥动力学耦合模型,探究车速、偏载与路面不平顺对支座响应的影响。研究结果表明:车辆行驶在支座附近,径向反力与竖向反力较大,车辆行驶在跨中,切向反力较大;三种支座反力的最大值均随车速提高而增大,对径向反力和切向反力影响较大,对竖向反力的影响体现在内侧的支座反力降低而外侧支座反力增大;三种支座动反力随路面不平顺增大而增大,路面不平顺激励对径向反力与竖向反力影响较大,对切向反力影响较小;行车偏载对径向、切向反力影响很小,而对支座间竖向反力的分配影响较大。

基于ANSYS的简支梁车-桥-支座耦合动力响应分析

为准确模拟车辆过桥产生的振动,应考虑支座弹性作用的影响。结合分离法与汽车动力学原理,分别建立车辆、桥梁和支座的计算模型并通过位移协调关系和力的平衡关系进行车-桥-支座耦合。基于ANSYS中APDL语言,以30 m简支箱梁桥为算例研究桥面不平整度、支座刚度和阻尼对车-桥-支座耦合动力响应的影响。结果表明,桥面平整度越差,车辆行驶过程中对桥梁产生的冲击力越大,激发桥梁的动力响应越剧烈;适当增大支座刚度能有效降低桥梁动挠度,减弱振动响应;支座阻尼具有耗能作用,增大支座阻尼对削弱桥梁加速度响应有明显的效果;在设计桥梁支座时,应适当增大支座刚度和阻尼来削弱车-桥-支座耦合振动对桥梁的冲击作用。

曲线钢-混组合箱梁桥车桥耦合振动及支座受力研究

曲线钢-混组合箱梁桥已经建设较多,在设计中因对其车桥耦合振动认识有限,相关支座反力因弯扭耦合效应引起的变化情况等尚未很好解决。基于ABAQUS有限元软件,利用傅里叶级数描述车辆平、竖曲线运动,实现了曲线梁桥车桥耦合振动的数值分析,并基于既有试验和理论成果验证了方法的准确性。以某4跨曲线钢-混组合箱梁桥为例,分析了车辆在内、外侧车道以不同速度行驶及超高条件下对桥梁支座反力的影响。结果表明:当车辆沿着曲线梁桥内侧或外侧车道行驶时,另一侧箱梁的外支座会出现脱空的现象。车速对支座峰值反力的影响较小,但可以通过较低的车速减轻支座脱空。超高对支座反力的影响较小,车辆沿着内侧车道行驶时,缓解了外侧箱梁部分支座脱空;沿着外侧车道行驶时,加重了内侧箱梁支座脱空。

重载铁路单线32 m钢-混组合梁静动力性能研究

为促进“自重轻、施工快速便捷、经济性良好”的中小跨径钢-混组合梁在重载铁路领域的合理使用,针对单线32 m钢-混组合梁,采用通用有限元的方法开展静力性能研究,采用刚柔耦合的多体动力学方法进行车-轨-桥耦合动力性能研究。静动力性能分析显示,(1)单线重载铁路(30 t轴重)32 m钢-混组合梁可采用工字钢主梁高2.6 m、桥面板厚20 cm(横向支点40 cm)双工字钢组合截面型式;(2)双工字钢钢-混组合梁抗扭刚度较弱,在计算横向变形时应考虑截面畸变变形影响;(3)横隔梁布置间距宜根据施工阶段结构稳定性确定,不宜过小;(4)在列车速度<80 km/h、轴重<40 t时,车桥动力响应均在规范允许范围内。综合研究表明,在重载铁路领域使用中小跨径的钢-混组合梁具有可行性,研究结果可供类似工程参考。

高速铁路桥梁支座刚度对车-桥耦合系统的影响

作为高速铁路仿真的关键环节,对车一桥耦合系统的动态响应进行评估,依托支座刚度对系统指标的变化特性开展分析。研究结果显示:车辆系统中车体的垂向加速度与支座刚度相关性较高,而轮轨力、脱轨系数等安全性指标受支座刚度影响较小。桥梁系统中支座刚度与垂向位移相关性较大,桥梁中间区域的横向加速度与支座刚度呈负相关,而塔顶的横向振动量级与支座刚度呈正相关。柔性轮相比刚性轮对桥梁与车体的振动更为敏感,而与其他指标相关性较小。车一桥耦合系统精准确定了不同支座刚度下高速动车组各指标的变化特性,为后续产品的设计优化提供了参考。

AN INTEGRATED COUPLING ELEMENT FOR VEHICLE-RAIL-BRIDGE INTERACTION SYSTEM WITH A NON-UNIFORM CONTINUOUS BRIDGE

An integrated coupling element considering wheel-rail interface for analyzing the dynamic responses of vehicle-rail-bridge interaction system with a non-uniform continuous bridge is presented. The governing equations of the interaction system are established first, and the solution procedure and assembly method of the coupling element are demonstrated. Finally, the accuracy, efficiency and function of the integrated coupling element are tested using two numerical examples. The influences of different combinations of rail and bridge element length in the coupling element on the solution are investigated, and the effects of different rail irregularities on the dynamic responses are discussed.

车-简支梁桥耦合振动系统中全局最大动力响应研究

本文采用四分之一车辆模型和等截面简支梁模型,建立了车-桥耦合振动计算模型,分析了车辆匀速驶过桥梁时,桥梁动挠度、动弯矩、动剪力的全局最大值及发生的位置.进一步分析计算了车速、车距和桥梁模态截断阶数对桥梁动挠度、动弯矩、动剪力全局最大值的影响.结果表明,车速对桥梁动挠度、动弯矩、动剪力全局最大值影响较大,全局最大动挠度和全局最大动弯矩均出现在跨中附近,车速不同位置也不同,而全局最大动剪力均出现在车辆下桥的梁端;两车同时上桥时,前后车车距越大,桥梁动挠度、动弯矩、动剪力全局最大值越小,当达到一定车距时,三者不再减小且与单车情况相同;为提高桥梁动挠度、动弯矩、动剪力全局最大值计算精度,桥梁模态截断阶数宜分别大于3阶、6阶、7阶.