车-简支梁桥耦合振动系统中全局最大动力响应研究  

The Global Maximum Dynamic Responses of Vehicle-Simply Supported Bridge Coupling System

作　　者：任剑莹[1,2] 付小莲 李韶华 刘旌[1] Ren Jianying;Fu Xiaolian;Li Shaohua;Liu Jing(State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures,Shijiazhuang Tiedao University,Shijiazhuang 050043,China;Department of Engineering Mechanics,Shijiazhuang Tiedao University,Shijiazhuang 050043,China;China Railway Jiujiang Bridge Engineering Co.,Ltd,Jiujiang 332004,China)

机构地区：[1]石家庄铁道大学,省部共建交通工程结构力学行为与系统安全国家重点实验室,石家庄050043 [2]石家庄铁道大学工程力学系,河北省石家庄050043 [3]中铁九桥工程有限公司,江西省九江332004

出　　处：《动力学与控制学报》2023年第5期60-68,共9页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(11972238);河北省自然科学基金资助项目(A2022210007,A2021210009,E2022210029);河北省高等学校科学技术研究项目(ZD2022019)。

摘　　要：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.In this paper,a quarter vehicle model and a uniform cross-section simply supported beam model are used to establish a vehicle-bridge coupling system.The global maximum values and its location on the bridge of dynamic deflection,dynamic bending moment and dynamic shear force are analyzed when the vehicle travelling through the bridge at a constant speed.The effects of vehicle speed,distance between front and rear vehicles,and bridge modal truncation order on the global maximum value are further analyzed and calculated.The results show that the vehicle speed has a greater impact on the global maximum value of dynamic deflection,dynamic bending moment,and dynamic shear force of the bridge.Both the global maximum dynamic deflection and the global maximum dynamic bending moment appear in the mid-span range,the locations are different with different vehicle speeds.The global maximum dynamic shear force appears at the beam end of the vehicle exiting the bridge.when two vehicles are on the bridge at the same time,the greater the distance between the front and rear vehicles,the smaller the global maximum value of dynamic deflection,dynamic bending moment,and dynamic shear force of the bridge.When a certain distance is reached,the global maximum values are no longer reduced and are the same as the case of a single vehicle.In order to improve the calculation accuracy of the dynamic deflection,dynamic bending moment,and dynamic shear force of the bridge,the bridge modal truncation order should be greater than 3 orders,6 orders and 7 orders,respectively.

关 键 词：车-桥耦合振动 全局最大值 车速 车距 桥梁模态截断阶数 

分 类 号：O327[理学—一般力学与力学基础] U441.3[理学—力学]