Inertial amplification of continuous structures: Large band gaps from small masses

Niels Morten Marslev Frandsen, Osama R. Bilal, Jakob Søndergaard Jensen, Mahmoud I. Hussein

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Abstract

We investigate wave motion in a continuous elastic rod with a periodically attached inertial amplification mechanism. The mechanism has properties similar to an “inerter” typically used in vehicle suspensions, however here it is constructed and utilized in a manner that alters the intrinsic properties of a continuous structure. The elastodynamic band structure of the hybridrod-mechanism structure yields band gaps that are exceedingly wide and deep when compared to what can be obtained using standard local resonators, while still being low in frequency. With this concept, a large band gap may be realized with as much as twenty times less added mass compared to what is needed in a standard local resonator configuration. The emerging inertially enhanced continuous structure also exhibits unique qualitative features in its dispersion curves. These include the existence of a characteristic double-peak in the attenuation constant profile within gaps and the possibility of coalescence of two neighbouring gaps creating a large contiguous gap.
Original languageEnglish
Article number124902
JournalJournal of Applied Physics
Volume119
Issue number12
Number of pages15
ISSN0021-8979
DOIs
Publication statusPublished - 2016

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