Automatic Generation of Equations of Motion for Mechanical System Using Linear Graph Theory. Application to Mechanical Vibration Systems.

Recently, the importance of system design in the field of mechanical engineering has been increasingly recognized. However suitable and useful methods for machine design are not yet established. An analytical method of the dynamic characteristics in the mechanical system, a method utilizing linear graph theory, is proposed. In this paper, for practical use of this analytical method, a program is developed which can analyze the dynamic characteristics automatically. As an example, in the mechanical vibration system, with the arrangement of the elements on the computer display, the system graph and the equations of motion are automatically produced by means of a cut-set matrix, and the dynamic characteristics of the system are derived by means of a computer algebraic method.