Flutter instability in solids and structures, with a view on biomechanics and metamaterials

TitleFlutter instability in solids and structures, with a view on biomechanics and metamaterials
Publication TypeJournal Article
Year of Publication2023
AuthorsBigoni D, Dal Corso F, Kirillov ON, Misseroni D, Noselli G, Piccolroaz A
JournalProceedings of the Royal Society A
Volume479
Pagination20230523
Keywordselasticity, Hopf bifurcation, non-conservative systems, non-Hermitian mechanics, non-holonomic constraints
Abstract

The phenomenon of oscillatory instability called "flutter" was observed in aeroelasticity and rotor dynamics about a century ago. Driven by a series of applications involving non-conservative elasticity theory at different physical scales, ranging from nanomechanics to the mechanics of large space structures and including biomechanical problems of motility and growth, research on flutter is experiencing a new renaissance. A review is presented of the most notable applications and recent advances in fundamentals, both theoretical and experimental aspects, of flutter instability and Hopf bifurcation. Open problems, research gaps and new perspectives for investigations are indicated.

DOI10.1098/rspa.2023.0523