1970 年 18 巻 196 号 p. 167-177
In a coupled rotational vibration system, there may exist some characteristic nature so called self-excited instability which imply a relaxational transformation of rotational energy of the system into its translational one.
As it is difficult to treat such an instability phenomena in general, a similar coupled tow degrees of freedom system is taken up and some theoretical investigations to clarify the dynamic behaviours of this system are undertaken.
In this paper, the author succeeds to develop one useful method for constructing graphical solutions of such an autonomous two degrees of freedom system upon the reduced phase plane.
Applying this method to the concerned system, the dependency of its dynamic behaviours of the system to its initial state is clearly understood and also the periodic solutions which may exsit in this system can be detected as the closed trajectories on that phase plane.
The periodic solutions of this kind are also decided by the perturbation method and the FOURIER expansion method.
Each result of this graphical or analytical method is compared with that of analogue simulations of the system and the validity of these methods is justified.