At present, the highway bridge field is in a period of vigorous development, and the application of continuous beam bridges is becoming more extensive, so the related safety research is particularly important. However, there are few studies on the vehicle-bridge coupled interaction of continuous beam bridges, and the influence of pavement is not considered. In order to ensure that the theoretical research can better serve the engineering practice, it is urgent to establish a more refined and more complex vehicle-bridge coupled model. In this paper, a vehicle-pavement-continuous beam bridge (VPCB) coupled system model is established. A half-vehicle model is adopted, the pavement is simulated by a continuous and uniform spring damper, and the bridge is a three-span continuous beam bridge. The motion equation of VPCB system is established and deduced using D 'Alembert principle and modal superposition method. The dynamic responses of VPCB system are calculated by Newmark- method. Here, the continuous beam bridge mode functions are fitted based on the modal vector of the continuous beam calculated by the finite element model. The correctness of the method is verified by existing literatures. The effects of bridge pavement, vehicle speed, bridge second span length, the pavement equivalent spring stiffness coefficient and damping coefficient , road roughness on VPCB system are studied. The results show that the pavement can reduce the bridge dynamic amplification factor (DAF) and the vehicle acceleration to improve the ride comfort. The dynamic responses of the vehicle and the bridge contain each other's natural frequencies. The responses of VPCB system increase with the vehicle velocity, the vehicle responses are more affected than the bridge responses. The pavement equivalent stiffness and damping coefficient has little effect on the system. The responses of vehicle and bridge increase with the increase of the bridge second span length. When the vehicle travels each span of the three-span continuous beam bridge, the time history curve of the pavement deformation under the tire resembles a sine wave. When the local roughness level of the road surface increases, the system responses at the deteriorated position suddenly increases, and the responses of the subsequent position will also be affected. The larger the roughness grade, the more obvious the responses increase. The effect on the system responses of the whole pavement damage is more significant than the local pavement damage.

中文翻译：

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车辆-路面-连续梁桥耦合系统半解析模型

目前，公路桥梁领域正处于蓬勃发展时期，连续梁桥的应用日益广泛，因此相关的安全研究显得尤为重要。然而，对连续梁桥车桥耦合相互作用的研究较少，且未考虑路面的影响。为了保证理论研究能够更好地服务于工程实践，迫切需要建立更精细、更复杂的车桥耦合模型。本文建立了车辆-路面-连续梁桥（VPCB）耦合系统模型。采用半车模型，路面采用连续均匀弹簧阻尼器模拟，桥梁为三跨连续梁桥。利用达朗贝尔原理和模态叠加法建立并推导了VPCB系统的运动方程。采用Newmark法计算VPCB系统的动态响应。这里，连续梁桥模态函数是根据有限元模型计算的连续梁模态向量来拟合的。现有文献验证了该方法的正确性。研究了桥梁路面、车速、桥梁第二跨长度、路面等效弹簧刚度系数和阻尼系数、路面粗糙度对VPCB系统的影响。结果表明，路面可以降低桥梁动力放大系数（DAF）和车辆加速度，提高乘坐舒适性。车辆和桥梁的动态响应包含彼此的固有频率。 VPCB系统的响应随着车辆速度的增加而增加，车辆响应比桥梁响应受到的影响更大。路面等效刚度和阻尼系数对系统影响不大。车辆和桥梁的响应随着桥梁第二跨长度的增加而增加。当车辆行驶在三跨连续梁桥各跨时，轮胎下方路面变形的时程曲线近似正弦波。当路面局部粗糙度水平增大时，恶化位置的系统响应突然增大，后续位置的响应也会受到影响。粗糙度等级越大，响应增加越明显。路面整体损伤对系统响应的影响比局部路面损伤更显着。