The application of Kane equation in the impact prediction of human motion

Abstract

This paper presents a computational procedure for deriving and solving the governing dynamical equations of multi-body human systems subjected to impact. The procedure is developed on the basis of the assumption that the duration of the impact is very short, during which the configuration of the system remain the same, although the velocities of the system have undergone significant changes. These assumptions lead to a set of linear algebraic equations for the velocity increments. These equations may then be solved to obtain initial conditions for the analysis of the subsequent motion of the multi-body human system. A calculating task of ejecting seat problem is presented to illustrate and validate the procedure. © Springer-Verlag Berlin Heidelberg 2007.