The vibration degrees of freedom of non- rigid body in polyhedron

The degrees of freedom of rigid body are discussed based on the definition of degrees of freedom. The degrees of freedom of non- rigid are studied in detail. Especially,the vibrational degrees of freedom are analyzed. The relation between the vibrational degrees of freedom and the vertexes,edges and faces of the polyhedron is given. Also,the relation between the vibrational degrees of freedom and the Euler equation is presented.