Theory of a triangular micro-robot
Abstract
In this paper we study the self-propulsion of a triangular micro-robot (or triangle-robot) which consists of three spheres connected by three rods; the rods' lengths are changing independently and periodically. Using the asymptotic procedure containing the two-timing method and distinguished limit arguments, we obtain analytic expressions for self-propulsion velocity the angular velocity. Our calculations show that a triangle-robot rotates with constant angular velocity around its centroid, while the centroid moves in a circle. The important special case of zero angular velocity represents rectilinear translational self-propulsion with constant velocity.
Cite
@article{arxiv.1210.0747,
title = {Theory of a triangular micro-robot},
author = {Vladimir A. Vladimirov},
journal= {arXiv preprint arXiv:1210.0747},
year = {2012}
}
Comments
15 pages. arXiv admin note: substantial text overlap with arXiv:1209.2835, arXiv:1209.0171