Stasis domains and slip surfaces in the locomotion of a bio-inspired two-segment crawler
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We formulate and solve the locomotion problem for a bio-inspired crawler consisting of two active elastic segments (i.e., capable of changing their rest lengths), resting on three supports providing directional frictional interactions. The problem consists in finding the motion produced by a given, slow actuation history. By focusing on the tensions in the elastic segments, we show that the evolution laws for the system are entirely analogous to the flow rules of elasto-plasticity. In particular, sliding of the supports and hence motion cannot occur when the tensions are in the interior of certain convex regions (stasis domains), while support sliding (and hence motion) can only take place when the tensions are on the boundary of such regions (slip surfaces). We solve the locomotion problem explicitly in a few interesting examples. In particular, we show that, for a suitable range of the friction parameters, specific choices of the actuation strategy can lead to net displacements also in the direction of higher friction.
KeywordsSoft bio-mimetic robots Crawling motility Directional surfaces Rate-independent systems
This work has been supported by the ERC Advanced Grant 340685-MicroMotility.
- 2.Bolotnik N, Pivovarov M, Zeidis I, Zimmermann K (2015) On the motion of lumped-mass and distributed-mass self-propelling systems in a linear resistive environment. Z Angew Math Mech. doi: 10.1002/zamm.201500091
- 8.Hirose S (1993) Biologically inspired robots: snake-like locomotors and manipulators. Oxford University Press, OxfordGoogle Scholar
- 9.Ikuta K, Hasegawa T, Daifu S (2003) Hyper redundant miniature manipulator Hyper Finger for remote minimally invasive surgery in deep area. In: Proceeding of IEEE International Conference on Robotics and Automation, Vol. 1, Taipei, pp 1098–1102Google Scholar
- 14.Mielke A (2005) Evolution of rate-independent systems. In: Dafermos C, Feireisl E (eds) Handbook of Differential Equations, evolutionary equations. Elsevier, AmsterdamGoogle Scholar
- 20.Sheshka R, Recho P, Truskinovsky L (2015) Pseudo energy wells in active systems. Preprint arXiv:1509.02753v1