Numerical analyses of pentamodes metamaterials behavior under harmonic loading conditions

Abstract

Pentamodes lattice structures are very interesting types of structures that present high resistance to compressive deformation relatively to small resistance to shear deformation. They are also developed to confront time dependent forces. Considering that the harmonic forces should not be synchronized with the natural frequencies of the pentamode structures, since this would lead to failure of the structures, it is very important to analyze such behavior. In this study, computational analyses over pentamodes behavior under the different frequencies of the harmonic loading have taken place for the effective shear and compressive moduli. For the first time the behaviour of pentamodes made of different materials and dimensions has been studied under harmonic loading. In addition from the numerical modelling, the relative bandgap is also investigated. From our analyses it is also concluded that pentamodes with different materials and the same dimensions have different bandgap.