Wave propagation analysis for a second strain gradient rod theory

查看全文 作　　者：Guang [1]ZHU;Christophe [1]DROZ;Abdelmalek [2]ZINE;Mohamed [1]ICHCHOU

机构地区：[1]Vibroacoustics&Complex Media Research Group,LTDS–CNRS UMR 5513,Centre Lyonnais d’Acoustique CeLyA,Ecole Centrale de Lyon,Universite de Lyon,France;[2]Institute Camille Jordan–CNRS UMR 5208,Ecole Centrale de Lyon,France

出　　处：《Chinese Journal of Aeronautics》索引2020年第33卷第10期,共12页

基　　金：supported by the LabEx CeLyA (Centre Lyonnais d’Acoustique, ANR-10-LABX-0060) of Universitéde Lyon。 摘　　要：In this work,an enriched model describing the longitudinal wave propagation is established based on Mindlin’s Second Strain Gradient(SSG)theory,which can describe the heterogeneity caused by the micro-structure interactions in the frame of continuum mechanics.The governing equation and associated boundary conditions are derived based on Hamilton’s principle,then the dispersion relation of non-classical longitudinal wave together with the extra-waves appearing exclusively in SSG theory model are investigated.The investigations are based on the modal density,energy flow,and forced response of the rod.Wave transmission and reflection through planar interfaces based on the proposed model have been calculated.Finally,the results of the enriched model are well interpreted by comparing with the classical theory results,and some useful conclusions are derived on the SSG theory based model in the wave propagation characterization. 关键词：Dynamic behavior Energy flow Enriched rod model Reflection and transmission Second strain gradient theory Wave propagation features

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Wave propagation analysis for a second strain gradient rod theory

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