Dynamic Analysis of Twisting Somersault Motions

Abstract

The twisting somersault is such a complicated motion by gymnasts and other atheletes, that many people can't grasp its dynamics. The mathematical equations of the constraints of aerial human multi-linkage systems are highly nonlinear. Firstly, approximating the equations into linear form and analyzing them, we derive the induction mechanism of the motion. Next, recording the real performance by a trampoline jumper, we calculate his orientation variations and joint movements, and compare them to the studied mechanism. We show that he unconsciously applied the mechanism to his performance efficiently. Finally, we consider the guideline for stable landing and orientation control by opening both arms. This research will be practically useful to physical education as well as robotics.