Dynamical Studying Of Falling Cat Phenomenon

Multibody kinetics is one branch of general mechanics. It contains rigid bodies dynamics and flexible multibody system dynamics. It has great of practice values. It is greatly applied in Robotics and Spacecraft dynamics.At first ,in this paper, we introduce the position which mutibody kinetics in whole science and the development of mutibody kinetics .Second ,the relational knowledge of advanced rigid bodies dynamics and analytical mecanics is introduced. Third, We simplify the 'Falling cat' into mold of mutibody and use Lagrangian Method ,Newton—Euer's Method and Kane's Method are used to make solution and compare their advantages and disadvantages .Forth, we also make the flexible mutibody mold of 'Falling Cat' and use Kane's Method to make solution.In this paper, matrix method is greatly used ,it is not only make the looking conveniently ,but also make the calculation conveniently . The matrix method is compared to the Kane's vector method. Since Kane didn't give analytical solution of nonlinear differential equation, we will give a series solution of a nonlinear differential equation.