Among highway bridges, curved ones are very common at urban intersections and, generally, in limited urban spaces. However, such bridges are often involved in multiple vibrational behaviors, making them more sensitive to vertical components of ground motion due to their irregular geometry. The primary objective of this study has been to develop a theoretical approach using the relationships of structural dynamics to evaluate the effect of central curvature angle on the seismic response of curved bridges with rubber bearings subjected to strong vertical ground motions of near field earthquakes. In this regard, the continuous flexural/torsional beam-spring-rod model, has been used to calculate vertical force and the effect of this force on the dynamic response of curved bridge components. The wave propagation in the form of harmonic functions is induced by changing the phase angle for piers, and the wave transfer functions are solved by using eigenfunctions. The results of numerical analyses show that the wave transient behavior leads to separation of the girder from the bearing along with the pounding of the girder returning back onto the bearing, and that in the curved bridges with different central angles, the phenomenon of vertical pounding would occur in the range of the bridge natural vibration period, and pounding intensity would be strongly dependent on seismic excitation scenarios. The results also show that with increase in the curvature angle of the girder, the girder's lateral displacement does not necessarily increase, while the increase in the girder’s torsion is related to its curvature angle.

在公路桥梁中，弯曲的桥梁在城市交叉路口以及通常在有限的城市空间中非常普遍。但是，这种桥经常涉及多种振动行为，由于其不规则的几何形状，它们对地面运动的垂直分量更加敏感。这项研究的主要目的是开发一种利用结构动力学关系来评估中心曲率角对带有橡胶轴承的弯曲桥梁在近场地震的强烈垂直地震动下地震响应的影响的理论方法。在这方面，连续挠曲/扭转梁-弹簧-杆模型已用于计算垂直力以及该力对弯曲桥梁构件动力响应的影响。通过改变桥墩的相角来引起谐波函数形式的波传播，并通过特征函数来求解波传递函数。数值分析结果表明，波浪的瞬态行为导致梁与轴承的分离以及梁的重击返回支承，而在具有不同中心角的弯曲桥梁中，竖向撞击现象会发生在桥梁自然振动周期的范围内，冲击强度将强烈取决于地震激励场景。结果还表明，随着梁曲率角的增加，梁的侧向位移不一定会增加，而梁扭转的增加与曲率角有关。