Vertical Load-Carrying Natural Frequency of Railway Continuous Steel Truss Bridges

Time variant natural frequencies of a roadway bridge under stochastic vehicle flow

“…Studies of the dynamic behavior of bridges under moving vehicle loads have been undertaken for many years, especially for railway bridges [1][2][3][4][5][6][7][8] and numerous achievements have been achieved regarding the analysis of dynamic train-bridge interaction [1][2][3][4][5]. Some scholars have studied the on-load natural frequencies of railway bridges, focusing on the effect of trains on the natural frequencies of bridges, examining carriage masses coupled with a bridge through their suspension systems.…”

“…The results show that the fundamental natural frequency varies periodically as a train passes over the bridge. Ren et al focused on continuous bridges, and some results show that the vertical train-bridge natural frequency periodically varies when trains are distributed on the whole bridge [7]. When the length of the train is shorter than that of the bridge, the periodic change of the vertical train-bridge natural frequency does not occur and then the vehicle-bridge system will not experience vertical resonance.…”

Natural Frequency of Traffic Flow-Bridge System Based on Cellular Automaton Technique

“…Research on the dynamic behavior of bridges under moving vehicle loads can be dated back to many years ago, especially for railway bridges [1][2][3][4][5][6][7][8]. There are numerous publications regarding the dynamic analysis of train-bridge interactions [1][2][3][4][5].…”

“…Some of them focused on the effect of trains on the natural frequencies of bridges due to the effects of carriage masses coupled with the bridges through suspension systems, namely railway bridge on-load natural frequency. Ren et al [7] focused on continuous bridges and some results showed that the vertical train-bridge natural frequency periodically varied when the trains were distributing on the whole bridge. Recently, the significance and the variation trend of driving frequencies and dominant frequencies in the response arising from the trainload was examined by Lu et al [6].…”

“…Some theoretical studies above are related to bridge on-load natural frequencies. For a train-bridge system [6][7][8], the train is modelled as multiple carriages and the bridge is modeled as a beam. For studying a vehicle-bridge system, similar to that of a train-bridge system, the vehicle is modeled as a moving mass [14] or a several degrees-of-freedom system [10][11][12][13] and the bridge is modeled as a beam.…”