Effects of caudal fin stiffness on optimized forward swimming and turning maneuver in a robotic swimmer.

Journal: Bioinspiration & biomimetics
PMID:

Abstract

In animal and robot swimmers of body and caudal fin (BCF) form, hydrodynamic thrust is mainly produced by their caudal fins, the stiffness of which has profound effects on both thrust and efficiency of swimming. Caudal fin stiffness also affects the motor control and resulting swimming gaits that correspond to optimal swimming performance; however, their relationship remains scarcely explored. Here using magnetic, modular, undulatory robots (Bots), we tested the effects of caudal fin stiffness on both forward swimming and turning maneuver. We developed six caudal fins with stiffness of more than three orders of difference. For aBot equipped with each caudal fin (andBot absent of caudal fin), we applied reinforcement learning in experiments to optimize the motor control for maximizing forward swimming speed or final heading change. The motor control ofBot was generated by a central pattern generator for forward swimming or by a series of parameterized square waves for turning maneuver. In forward swimming, the variations in caudal fin stiffness gave rise to three modes of optimized motor frequencies and swimming gaits including no caudal fin (4.6 Hz), stiffness <10Pa m(∼10.6 Hz) and stiffness >10Pa m(∼8.4 Hz). Swimming speed, however, varied independently with the modes of swimming gaits, and reached maximal at stiffness of 0.23 × 10Pa m, with theBot without caudal fin achieving the lowest speed. In turning maneuver, caudal fin stiffness had considerable effects on the amplitudes of both initial head steering and subsequent recoil, as well as the final heading change. It had relatively minor effect on the turning motor program except for theBots without caudal fin. Optimized forward swimming and turning maneuver shared an identical caudal fin stiffness and similar patterns of peduncle and caudal fin motion, suggesting simplicity in the form and function relationship inBot swimming.

Authors

  • Hankun Deng
    Department of Mechanical Engineering, The Pennsylvania State University, University Park, PA 16802, USA.
  • Donghao Li
    Department of Chemistry, MOE Key Laboratory of Biological Resources of Changbai Mountain & Functional Molecules, Yanbian University, Yanji 133002, Jilin Province, PR China.
  • Kundan Panta
    Department of Mechanical Engineering, The Pennsylvania State University, University Park, PA 16802, United States of America.
  • Andrew Wertz
    Department of Mechanical Engineering, The Pennsylvania State University, University Park, PA 16802, USA.
  • Shashank Priya
    Center for Energy Harvesting Materials and Systems (CEHMS), Bio-Inspired Materials and Devices Laboratory (BMDL), Virginia Tech, Blacksburg, VA 24061, United States of America.
  • Bo Cheng
    Department of Urology, The Affiliated Hospital of Southwest Medical University, Luzhou, China.