When a cantilever vibrator which is fixed on a semi-infinite elastic medium, vibrates freely, reaction moment and reaction force act at the fixed point. Their values are shown by equations (2.14) and (2.15) respectively. The reaction moment and force put a strain on the semi-infinite elastic medium. The energy consumed by this strain during one cycle is calculated and shown in equation (4.1O). The energy loss of a vibrator consists of loss by air resibtance, loss by internal friction and loss from a supbort poit. The observed value of total energy loss is much larger than the value galculated by equation (4.10). This means that when the condition at the support point is perfect. loss from this point is less than loss by air resistance or loss by internal friction.
In this paper the problem of stability at synchronous speed in case of taking partially the effect of damper disc into consideration is presented. It is detived from Lagrange's equations and led to stability of the solutions of two degrees of freedom of simultaneous differential equations which consist of two systems.ie variable parameter and constant parameter systems. The results of an analysis and experiments showed that the characteristics of the system depend upon specially the value of ε among the other parameters and one of the optimum conditions relating to the effect of damper disc is given by ε= 1-Δ. Where. ε is the ratio of the value of the diameter of the rotor schaft to that of the inside diameter of damper disc andΔ is positive extremely small value.