On the Vibrations of the Shaft Carrying an Unsymmetrical Rotating Body

Abstract

The rotating shaft carrying an unsymmetrical body is statically unstable near its major critical speeds, and the unstable regions become smaller as the damping forces are larger, and they vanish when the damping coefficients reach the critical values. These critical damping coefficients are calculated in the present paper. Then, the amplitudes and the phase differences of the forced vibrations are studied. The angular positions of statical and dynamical unbalances have an influence upon the amplitudes and the phase differences, and the characteristics of the response curves and the phase angles are very different from those of usual vibratory systems. Furthermore, the comparison with the flat shaft system is carried out.