Nonlinear Vibration Characteristics of Flexible Suspension Bridge under Moving Load
The system model of flexible suspension bridge under several moving loads was founded according to SD oscillator with time –dependent stiffness. The model was simulated by the software MATLAB and the nonlinear dynamic behaviors of the system with different velocities were analyzed. Bifurcation diagram of the system is obtained with the changing of vehicle speed; meanwhile the phase trajectories and the Poincaré sections are also presented. The result shows the complicated nonlinear dynamics with periodic motion, quasi-periodic phenomena and chaos, the occurrence alternatively among these quasi-period and chaos, which reveals the reason that causes the S-shape deformation of flexible suspension bridge under moving load easily.
R. L. Tian and X. W. Yang, "Nonlinear Vibration Characteristics of Flexible Suspension Bridge under Moving Load", Advanced Materials Research, Vols. 179-180, pp. 1025-1030, 2011