基于PEM-CA微观车流-桥梁耦合随机振动模型研究

STUDY ON MICROSCOPIC TRAFFIC FLOW-BRIDGE COUPLING RANDOM VIBRATION MODEL BASED ON PEM-CA

  • 摘要: 为研究桥梁在随机车流和路面不平度激励共同作用下的随机振动响应,建立基于虚拟激励法的元胞自动机微观车流与桥梁耦合随机振动模型(PEM-CA)。基于达朗贝尔原理,建立多车-桥耦合振动模型;考虑桥面不平顺影响,引入虚拟激励法,构建多点完全不相干平稳随机激励作用下车桥耦合虚拟激励荷载;引入双车道元胞自动机模型微观车流,形成PEM-CA微观车流-桥梁耦合随机振动模型。将PEM-CA微观车流-桥梁耦合随机振动模型的计算结果与基于虚拟激励法的多车-桥耦合振动模型(PEM-MV)及多车Monte Carlo方法统计结果(MCM)对比,验证PEM-CA模型的准确性。结果表明:MCM的位移、速度和加速度响应均方根值在PEM-MV计算值上下波动,PEM-CA微观车流-桥梁耦合随机振动模型计算结果与PEM-MV计算结果完全一致,PEM-CA模型与MCM最大误差不超5.4%。自由流作用下,桥梁首跨跨中位移、速度振动响应和桥梁中跨位移振动响应受车辆基频影响明显,其功率谱密度曲线在2.3 Hz处均出现明显峰值;桥梁首跨跨中加速度响应和中跨跨中速度、加速度响应受桥梁高阶频率影响更明显。研究桥梁振动响应点位不同,激振的桥梁高阶频率成分不同。研究成果进一步提升了微观随机车流在考虑路面不平度激励作用下桥梁随机振动响应统计效应的分析能力,为研究桥梁在微观车流作用下的随机振动提供一种新方法。

     

    Abstract: To study the random vibration response of bridges under the combined effects of random traffic flow and road surface roughness excitation, a cellular automaton-based micro traffic-bridge coupling random vibration model (PEM-CA) is established using the pseudo excitation method. Based on D'Alembert’s principle, a multi-vehicle-bridge coupling vibration model is developed. Considering the influence of pavement roughness, the pseudo excitation method is introduced to construct a multi-point, fully independent stationary random excitation for the vehicle-bridge coupled virtual excitation load. A dual-lane cellular automaton model is used to simulate the micro traffic flow, forming the PEM-CA micro traffic-bridge coupling random vibration model. The computational results of the PEM-CA model are compared with the multi-vehicle-bridge coupled vibration response based on the pseudo excitation method (PEM-MV) and the statistical results from the multi-vehicle Monte Carlo method (MCM), verifying the accuracy of the PEM-CA model. The results show that the root mean square values of displacement, velocity, and acceleration response from the MCM fluctuate around the PEM-MV calculation values. The PEM-CA model results are identical to the PEM-MV results, with a maximum error of no more than 5.4% compared with the MCM. Under the action of free-flow traffic, the displacement, velocity vibration response of the first span of the bridge and the displacement vibration response of the middle span of the bridge are significantly affected by the fundamental frequency of the vehicle. The power spectral density curves of all of them have an obvious peak value at 2.3 Hz. The acceleration response of the first span of the bridge and the velocity and acceleration response of the middle span of the bridge are more significantly affected by the higher-order frequencies of the bridge. The study shows that different response locations on the bridge are affected by different high-order frequency components of the excitation. This study further enhances the ability to analyze the statistical effects of bridge random vibrations induced by microscopic traffic flow under road surface roughness excitation, and provides a new method for studying bridge vibrations under microscopic traffic conditions.

     

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