Vehicle-bridge coupled vibration response study of Huanghe cable-stayed bridge due to multiple vehicles parallel with high speed

The vehicle-bridge coupled equations of multiple vehicles parallel are established by combining the equations of motion of both the bridge and the vehicle using the displacement relationship and the interaction force relationship at the contact point. The equation can be solved by the Runge-Kutta method in time domain, and a MATLAB program of bridge dynamic analysis is developed to assemble the motion equations of the vehicle-bridge coupled system. Taking HuangHe main bridge as an example, dynamic responses of the cable-stayed bridge under the condition of irregular pavement excited are studied by vehicles moving across the bridge with various velocities 70km/h, 90km/h, 110km/h and 130km/h. The results show that bridge cross section dynamic deflection response of the mid-point doesn´t increase with the speed of vehicles increasing, and it can be maximized at 90km/h for 6 vehicles and 70km/h for 3 vehicles among given several speeds; Passengers comfort decrease with the speed of vehicles increasing; The cable-stayed bridge has a strong ability to resist partial load vehicles.