変位によって切換わる外力項をもつ力学系に発生するカオス現象 : 第1報, モデルの導出と計算結果

抄録

A System with a slide valve swithed by piston displacement is set in a horizontal cylinder. When gas is supplied constantly to the cylinder, the piston is moved to a certain position with damping vibrations. Then the slide valve is switched and the gas is ejected from the cylinder. As a result, the piston returns to the initial position, where the slide valve swithed again. The gas is supplied constantly to the cylinder. Thus the above procedure repeated. The behavior of the piston motion can be written by a set of linear equations with four parameters. The calculated piston motions are classified into smaller and larger effect of inertia, and they show chaotic features depending on the parameters. The effects of four parameters are examined.