XU Wen-tao, ZHANG Jian-bo, CHEN Yong-jie. Dynamic Deflection Influence Line of Bridge Subjected to VehicleBridge Random Vibration[J]. Applied Mathematics and Mechanics, 2015, 36(9): 914-923. doi: 10.3879/j.issn.1000-0887.2015.09.003
Citation: XU Wen-tao, ZHANG Jian-bo, CHEN Yong-jie. Dynamic Deflection Influence Line of Bridge Subjected to VehicleBridge Random Vibration[J]. Applied Mathematics and Mechanics, 2015, 36(9): 914-923. doi: 10.3879/j.issn.1000-0887.2015.09.003

Dynamic Deflection Influence Line of Bridge Subjected to VehicleBridge Random Vibration

doi: 10.3879/j.issn.1000-0887.2015.09.003
Funds:  The National Natural Science Foundation of China(11402235)
  • Received Date: 2015-04-25
  • Rev Recd Date: 2015-05-21
  • Publish Date: 2015-09-15
  • Traditional static influence line was developed into dynamic field, and dynamic influence lines of deflections in the mid span of a simply-supported bridge and a three-span elastically supported bridge were studied by considering the effect of interaction between the bridge, the bridge random surface roughness and the vehicle. To obtain the mean value and standard deviation of dynamic influence lines in the mid span of bridge, deterministic harmonic excitations were derived from bridge surface roughness with pseudo excitation method, and the equation of vehicle-bridge system was solved with precise integration method. Based on 3σ method, deterministic values range of dynamic deflections were obtained. Finally, the random characteristics of dynamic influence lines were analyzed with numerical examples, and the effects of vehicle velocity and bridge random surface roughness on dynamic influence line were discussed. Then the difference between the simply-supported bridge and the three-span elastically supported bridge was studied upon dynamic influence line.
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