Waves in elastic bodies with discrete and continuous dynamic microstructure

Gennady Mishuris, Alexander B. Movchan, Leonid I. Slepyan

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

17 Dyfyniadau (Scopus)
108 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

This paper presents a unified approach to the modelling of elastic solids with embedded dynamic microstructures. General dependences are derived based on Green's kernel formulations. Specifically, we consider systems consisting of a master structure and continuously or discretely distributed oscillators. Several classes of connections between oscillators are studied. We examine how the microstructure affects the dispersion relations and determine the energy distribution between the master structure and microstructures, including the vibration shield phenomenon. Special attention is given to the comparative analysis of discrete and continuous distributions of the oscillators, and to the effects of non-locality and trapped vibrations
Iaith wreiddiolSaesneg
Rhif yr erthygl20190313
CyfnodolynPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Cyfrol378
Rhif cyhoeddi2162
Dyddiad ar-lein cynnar25 Tach 2019
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 10 Ion 2020

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