Non-holonomic constraints inducing flutter insability in structures under conservative loadings
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arXiv
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| Format: | Preprint |
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2020
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| _version_ | 1866929197684883456 |
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| author | Cazzolli, Alessandro Corso, Francesco Dal Bigoni, Davide |
| author_facet | Cazzolli, Alessandro Corso, Francesco Dal Bigoni, Davide |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2005_12144 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Non-holonomic constraints inducing flutter insability in structures under conservative loadings Cazzolli, Alessandro Corso, Francesco Dal Bigoni, Davide Classical Physics Mathematical Physics 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. |
| title | Non-holonomic constraints inducing flutter insability in structures under conservative loadings |
| topic | Classical Physics Mathematical Physics |
| url | https://arxiv.org/abs/2005.12144 |