Flutter instability in solids and structures, with a view on biomechanics and metamaterials
arXiv:2401.07092 · doi:10.1098/rspa.2023.0523
Abstract
The phenomenon of oscillatory instability called \lq flutter' was observed in aeroelasticity and rotor dynamics about a century ago. Driven by a series of applications involving nonconservative 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.
29 pages, 9 figures
References in corpus (5)
- Experimental Observation of Nonreciprocal Waves in a Resonant Metamaterial Beam
- Loss Compensation in Time-Dependent Elastic Metamaterials
- Structures loaded with a force acting along a fixed straight line, or the "Reut's column problem"
- Flutter instability and Ziegler destabilization paradox for elastic rods subject to non-holonomic constraints
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