Non-holonomic constraints inducing flutter insability in structures under conservative loadings

Abstract

Non-conservative loads of the follower type are usually believed to be the source of dynamic instabilities such as flutter and divergence. It is shown that these instabilities (including Hopf bifurcation, flutter, divergence, and destabilizing effects connected to dissipation phenomena) can be obtained in structural systems loaded by conservative forces, as a consequence of the application of non-holonomic constraints. These constraints may be realized through a `perfect skate' (or a non-sliding wheel), or, more in general, through the slipless contact between two circular rigid cylinders, one of which is free of rotating about its axis. The motion of the structure produced by these dynamic instabilities may reach a limit cycle, a feature that can be exploited for soft robotics applications, especially for the realization of limbless locomotion.

References in corpus (6)

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Cited by in corpus (6)

• Flutter instability in solids and structures, with a view on biomechanics and metamaterials
• Non-smooth dynamics of buckling based metainterfaces: rocking-like motion and bifurcations
• Flutter instability and Ziegler destabilization paradox for elastic rods subject to non-holonomic constraints
• Feedback-Induced Flutter Instability of a Flexible Beam in Fluid Flow
• Finding the strongest stable weightless column with a follower load and relocatable concentrated masses
• A way to hypo-elastic artificial materials without a strain potential and displaying flutter instability