Non-holonomic constraints inducing flutter instability in structures under conservative loadings. (English) Zbl 1516.74055
Summary: 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.
MSC:
| 74H60 | Dynamical bifurcation of solutions to dynamical problems in solid mechanics |
| 70H45 | Constrained dynamics, Dirac’s theory of constraints |
| 70F25 | Nonholonomic systems related to the dynamics of a system of particles |
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