In-plane vibration response of the periodic viaduct on saturated soil under Rayleigh surface wave
type: Item
instance of: scholarly article
title: In-plane vibration response of the periodic viaduct on saturated soil under Rayleigh surface wave
zbMATH Open document ID: 1394.74068
DOI: 10.1155/2015/835460
author: Hai-yan Ju
author: Ming-fu Fu
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 74J15
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74L10
zbMATH DE Number: 6927349
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/835460
OpenAlex ID: W2116163862
Wikidata QID: Q59119608
cites work: Mechanics of Deformation and Acoustic Propagation in Porous Media
description: scientific article; zbMATH DE number 6927349