CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France, ENSTA ParisTech UMA - Unité de Mathématiques Appliquées, Univ. Paris-Saclay, ENSTA ParisTech - École Nationale Supérieure de Techniques Avancées, Polytechnique - X, CNRS - Centre National de la Recherche Scientifique : UMR7641
Abstract : In this paper we address the question of the optimal design for the Purcell 3-link swimmer. More precisely we investigate the best link length ratio which maximizes its displacement. The dynamics of the swimmer is expressed as an ODE, using the Resistive Force Theory. Among a set of optimal strategies of deformation (strokes), we provide an asymptotic estimate of the displacement for small deformations, from which we derive the optimal link ratio. Numerical simulations are in good agreement with this theoretical estimate, and also cover larger amplitudes of deformation. Compared with the classical design of the Purcell swimmer, we observe a gain in displacement of roughly 60%.
https://hal.archives-ouvertes.fr/hal-01098501
Contributeur : Pierre Martinon <>
Soumis le : mercredi 6 janvier 2016 - 14:22:22
Dernière modification le : samedi 18 février 2017 - 01:12:41
Document(s) archivé(s) le : jeudi 7 avril 2016 - 16:02:00
Laetitia Giraldi, Pierre Martinon, Marta Zoppello. Optimal Design for Purcell Three-link Swimmer. Physical Review, American Physical Society (APS), 2015, 91 (2), pp.023012. <hal-01098501v2>
