Vibrations of a micropaddle with periodic auxetic core

Abstract

This paper discusses the vibrations of a micropaddle made from a foil with periodic auxetic core. Two major levels of complexity are discussed in order to understand the structure of this composite, and the auxetic role on the distribution of vibrations over selected frequency ‘pass’ and ‘stop’ bands. The required impedance mismatch is obtained by alternating periodically in the core regular and auxetic honeycombs. The auxeticity is interpreted in the light of Cosserat elasticity which admits degrees of freedom not present in classical elasticity.