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为了准确研究碰撞效应对桥梁造成的破坏以及对桥梁地震响应造成的影响,针对用于桥梁地震碰撞分析的接触单元模型提了一种改进求解方法。该方法把碰撞模型等效为一个弹簧-振子模型,由振子、弹簧和阻尼器构成。振子的运动过程代表碰撞的压缩和恢复过程。可以通过对运动方程的求解,得到相对压入量、相对压入速度、碰撞力、碰撞持续时间及其相互关系。通过与Hertzdamp模型常用求解方法和Hertz模型计算结果的比较,可以发现改进算法的结果更合理,具有很高的精度。尤其是对于存在大量能量耗散的地震碰撞问题,改进算法比常用算法更具优越性。
In order to accurately study the damage caused by the collision effect on the bridge and the impact on the seismic response of the bridge, an improved solution method is proposed for the contact element model used in the bridge seismic impact analysis. In this method, the collision model is equivalent to a spring-vibrator model, which consists of vibrator, spring and damper. The motion of the vibrator represents the process of compression and recovery of the collision. Through the solution to the equation of motion, the relative amount of press-in, the relative press-in speed, the impact force, the duration of the collision and their correlation can be obtained. Compared with the Hertzdamp model’s common solution method and Hertz’s model’s calculation result, we can find the result of the improved algorithm is more reasonable and has a higher accuracy. Especially for the seismic collision problem with large amount of energy dissipation, the improved algorithm is more superior than the commonly used algorithm.