Resonance and cancelation phenomena in a periodic viaduct under a series of equidistant moving loadings

Abstract

Resonance and cancelation phenomena of a viaduct caused by moving loadings are relevant to the design of the railway viaduct and speed regulation of high-speed trains. In this contribution, resonance and cancelation phenomena occurring in a periodic viaduct under a series of equidistant moving loadings (SEML) are investigated. In order to simulate the dynamic response of the periodic viaduct to a SEML, the dynamic response of the periodic viaduct to a single moving loading (SML) is addressed first. By superposing the responses of the viaduct to all SMLs constituting the SEML, the representation for the dynamic response of the periodic viaduct to the SEML is determined. With the representation, the resonance and cancelation conditions for the viaduct subjected to the SEML are obtained. For the high-speed SEML, when the time interval between two neighboring moving loadings is equal to the integer or half-integer multiples of the period of one of the dominant resonance peaks of the corresponding SML response of the viaduct, resonance or cancelation will occur. Numerical results presented in this paper show the predicted resonance and cancelation phenomena, confirming the proposed resonance and cancelation conditions.