The Ishlinskii oscillator model in the Keldysh shimmy problem

Plakhtienko, N. P.; Shifrin, B. M.

doi:10.1016/j.jappmathmech.2016.06.003

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2023

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“…Results on instabilities related to non-holonomic constraints were anticipated by works on the so-called 'shimmy' and 'caravan' instabilities, the former going back to Keldysh (1945) [172] and the latter to Ziegler [173][174][175]. Shimmy usually is an instability of a single wheel [176][177][178][179][180][181][182][183][184], while caravan is about a four-wheeled vehicle, coupled to a two-wheeled trailer. The latter problem is more complicated than the former, because both the leading vehicle and the trailer oscillate in a way similar to the 'Ziegler's double pendulum' [175,185].…”

Section: (C) Flutter In Conservative Systemsmentioning

confidence: 99%

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

Bigoni,

Dal Corso,

Kirillov

et al. 2023

Proc. R. Soc. A.

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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.

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