Notes on geometry of locomotion of 3-dimensional version of the Purcell's swimmer
arXiv:1610.03028v1
Originality Synthesis-oriented
AI Analysis
This work addresses a theoretical problem in low Reynolds number locomotion, but it appears incremental as it generalizes an existing mechanism without clear practical applications.
The authors tackled the problem of extending the planar Purcell's swimmer to three dimensions for locomotion at low Reynolds numbers, resulting in a purely kinematic formulation of the system's equations using Cox theory and resistive force theory.
We present a generalized, 3 dimensional version of the Purcell's swimmer which is a planar mechanism locomoting at low Reynlods number regime. We use Cox theory and resistive force theory to come up with the forces acting on the system. We finally come up with a purely kinematic form of the system's equations.