Abstract
In this study, the in-plane vibration response of the periodic viaduct on saturated soil under Rayleigh surface wave is studied. The Floquet transform method is used to decompose Rayleigh surface wave into a set of spatial harmonic waves. Considering the periodic condition of the viaduct, the wave number domain dynamic response of the periodic viaduct on saturated soil subjected to Rayleigh surface wave excitation is obtained by the transfer matrix method. Then the space domain dynamic response is retrieved by means of the inverse Floquet transform. Numerical results show that when the periodic viaduct is undergoing in-plane vibration, there exist three kinds of characteristic waves corresponding to axial compression, transverse shear, and bending vibration. Furthermore, when the frequency of Rayleigh wave is within the pass band of the periodic viaduct, the disturbance propagates over a very long distance and the attenuation of the wave motion far from the source is determined by the characteristic wave with the smallest attenuation, while the vibration attenuates rapidly and propagates in a short distance when the frequency of excitation source is in the range of band gap of periodic structure.
Highlights
IntroductionViaduct structure is widely used in engineering. Usually, the viaduct structure generally has equal spans, which means the distance between adjacent piers of a multispan viaduct structure is constant; it can be considered as periodic structure, with the basic element consisting of three parts: a pier, two longitudinal beams, and three linking springs
As we know, viaduct structure is widely used in engineering
The viaduct structure generally has equal spans, which means the distance between adjacent piers of a multispan viaduct structure is constant; it can be considered as periodic structure, with the basic element consisting of three parts: a pier, two longitudinal beams, and three linking springs
Summary
Viaduct structure is widely used in engineering. Usually, the viaduct structure generally has equal spans, which means the distance between adjacent piers of a multispan viaduct structure is constant; it can be considered as periodic structure, with the basic element consisting of three parts: a pier, two longitudinal beams, and three linking springs. When elastic wave propagates in a periodic structure, the vibration within a certain frequency range cannot be passed, which is called band gap, and the vibration within a certain frequency range can be passed, which is called pass band It provides a new idea for the seismic design and vibration control by using vibration characteristics of periodic structures. The analysis using standing wave method cannot reflect the propagation characteristics of vibration wave in the periodic viaduct. It is necessary to establish mathematical model which can reflect the propagation characteristics of nonuniform seismic wave in the periodic viaduct so as to provide theoretical basis for seismic design of the viaduct structure. The response in spatial domain of the periodic viaduct on saturated soil under Rayleigh waves can be retrieved by means of the inverse Floquet transform. The influence caused by the characteristic wave propagating in periodic structures and the different Rayleigh waves is discussed
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