A simplified method for calculating the longitudinal movement and cumulative displacement of the stiffening girder in long-span suspension bridges under random traffic flow is proposed. In this method, the suspended stiffening girder system is equivalent to a single-degree-of-freedom (SDOF) vibration system. Based on this SDOF system, the longitudinal vibration equations of the suspension bridge’s stiffening girder under moving loads and random traffic flow are derived. A rapid calculation method for the stiffening girder’s longitudinal vibration response under random traffic flow is proposed. Taking an example of a long-span suspension bridge and using existing traffic measurement data, random traffic flow samples are generated based on the Monte Carlo method. These samples are then treated as random loads on the SDOF system. The SDOF vibration equation is solved, and the results are compared with ANSYS dynamic analysis results. The findings reveal that under random traffic flow, the stiffening girder undergoes longitudinal movement and accumulates a significant displacement. This cumulative displacement consists of both static and dynamic components, with the latter contributing more significantly. Compared to the finite element transient dynamic analysis, the displacement response results obtained from the simplified SDOF system show minimal differences in extreme values and root mean square(RMS) values (less than 5%), although there is a slightly larger difference in cumulative displacement (approximately 13% ~ 19%). This indicates that the simplified vibration model can capture the stiffening girder’s longitudinal movement characteristics under random traffic flow. The proposed simplified method greatly simplifies the analysis of the stiffening girder’s longitudinal movement under random traffic flow, enabling response evaluation and parameter optimization in the preliminary design stage.
| 科 Family | 属数 Number of genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) | 属 Genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) |
|---|---|---|---|---|---|---|
| 鹅膏菌科Amanitaceae | 2 | 11 | 5.26 | 鹅膏菌属 Amanita | 10 | 4.78 |
| 小菇科 Mycenaceae | 2 | 12 | 5.74 | 丝盖伞属 Inocybe | 5 | 2.39 |
| 多孔菌科 Polyporaceae | 8 | 14 | 6.70 | 蜡蘑属 Laccaria | 5 | 2.39 |
| 红菇科 Russulaceae | 3 | 23 | 11.00 | 小皮伞属 Marasmius | 6 | 2.87 |
| 小菇属 Mycena | 11 | 5.26 | ||||
| 光柄菇属 Pluteus | 5 | 2.39 | ||||
| 红菇属 Russula | 17 | 8.13 | ||||
| 栓菌属 Trametes | 5 | 2.39 |