Mathematical Modelling and Feasibility Study ofthe Biomimetic Undulating Fin of a Knife Fish Robot

Bio-mimetic underwater robotics is an emerging area of research, which has the potential to substitute the conventional energy inefficient mode of underwater propulsion using thrusters. In this paper, the mathematical modelling of the undulating fin is done and the effect of various parameters of the mechanism design on the available workspace is studied. The mathematical beauty is revealed, for the curves representing the mechanical constraint and the family of undulating waves. The feasibility of a wave to be generated by the mechanism was analyzed.