A New Theory of Micro-Robots: multiple scales & distinguished limits
Seminar Room 1, Newton Institute
AbstractThis paper is devoted to the theory of three types of micro-robots consisting of rigid spheres connected by rods or springs of oscillating lengths:
1. N-sphere linear micro-robot;
2. Dumbbell micro-robot driven by flow oscillations;
3. Triangular micro-robot;
In all three cases the velocities of self-propulsion and the angular velocity of self-rotations have been calculated analytically with the use of the two-timing asymptotic procedure. The results are discussed and compared with the known experiments and with the results of other authors.
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