Optimal Design for Purcell Three-link Swimmer

التفاصيل البيبلوغرافية
العنوان: Optimal Design for Purcell Three-link Swimmer
المؤلفون: Giraldi, Laetitia, Martinon, Pierre, Zoppello, Marta
سنة النشر: 2014
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Optimization and Control
الوصف: In this paper we address the question of the optimal design for the Purcell 3-link swim-mer. More precisely we investigate the best link length ratio which maximizes its displace-ment. The dynamics of the swimmer is expressed as an ODE, using the Resistive Force Theory [13]. 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 esti-mate, 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%.
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevE.91.023012
URL الوصول: http://arxiv.org/abs/1412.8133
رقم الانضمام: edsarx.1412.8133
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevE.91.023012