Institut National des Sciences Appliquées Centre Val de Loire

Determining a graph from its reconfiguration graph

Given a graph G and a natural number k , the k -recolouring graph C k ( G ) is the graph whose vertices are the k -colourings of G and whose edges link pairs of colourings which differ at exactly one vertex of G . Recently, Hogan et al. proved that G can be determined from C k (...

On the effects of using nonlinear springs in mono-coupled periodic structures

Abstract Many strategies are employed to control structural vibration. One of them is to design structural elements in a periodic arrangement to obtain the so-called bandgap effect. For infinite periodic structures, bandgaps are defined as frequency ranges where waves do not prop...

Time-domain analysis of fractional-order viscoelastic sandwich plates via shifted Legendre polynomial approach

The objective of this study is to investigate the dynamic characteristics of three-dimensional fractional-order viscoelastic sandwich plates. Based on the fractional Kelvin–Voigt constitutive relation, the governing equations involving the spatial variables $(x,y,z)$ and the temp...