Abstract
In this study, the dynamic response of a periodic viaduct to a moving mass is investigated. In view of the periodicity of the viaduct, the mass-viaduct interaction force is expanded into a Fourier series first, each term of which represents one component of the interaction force. By using the Fourier transform method and finite element method (FEM), the frequency domain response of the periodic viaduct to each interaction force component is obtained. The time domain response of the periodic viaduct to the force component can be recovered by applying the inverse Fourier transform to the corresponding frequency domain response. With the mass-viaduct coupling condition and the time domain response of the viaduct to the force component, the Fourier coefficients of the mass-viaduct interaction force are obtained. Superposing the responses of the periodic viaduct due to all the interaction force components yields the response of the periodic viaduct to the moving mass. Numerical results show that the force-weight ratio increases with increasing mass and speed of the mass, suggesting that the inertial effect of the moving mass should be taken into account for the large mass with high speeds. Also, it is found that for the case of the large moving mass with high speeds, the mass-viaduct interaction force may become negative, indicating that the mass has a tendency to separate from the viaduct in this case.
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