Inverse Simulation Study of Trampoline-Performed Somersaults

Abstract

Front and back somersaults on the trampoline are modeled. The developed mathematical models are used to solve the inverse dynamics problem, in which the applied moments of muscle forces at the joints that result in an actual (recorded) motion are determined. The nature of the stunts, the way the human body is maneuvered and controlled can be studied. The calculated torques are then used as control signals for the dynamic simulation. This provides a way to check the inverse dynamics procedures. The influence of typical control errors on somersault performance can be studied as well. Some examples of numerical calculations are reported.