Dynamic response parameter analyses of simply-supported beam under moving load series

The exact displacement solution of the dynamic equation of a simply-supported beam under moving load series is derived. Three dimensionless parameters are introduced to study the influence of load speed, load frequency and structural damping on the dynamic responses of the beam, and to analyze the mechanism of resonance and the mechanism of vibration elimination of simply-supported beam under moving loads. The results show that the maximum displacement at the mid-span increases in a sinusoidal function form with gradually increasing amplitude, instead of in a monotonous way; the residual displacement and velocity of the beam tends to zero when the load series pass through at the vibration elimination speed; the resonance speed is directly related to the the load interval, and when the resonance speed is the same as the vibration elimination speed, the resonance will be suppressed; when the speed of the harmonic load is low and the load frequency is equal to the displacement of the beam, the displacement of the beam will reach4 its maximum value, while this is not the case for high load speed.