Synchronous elimination of vibration in the plane, part 2: Method efficiency and its stability

This paper is a continuation of Part 1 in which the idea of a synchronous v ibration eliminator was investigated. The vibrator movement friction causes phase shifts of vibrators. Appearance of the vibrators' phase displacement s causes that their effect on an object does not compensate fully the excit ation and, therefore, residual vibrations remain. A parameter describing th e efficiency of this method of vibration elimination was introduced. The in fluence of parameters of a system was investigated based on values of phase displacements. A detailed analysis was carried out for one or two vibrator s and results are presented in a chart form. The efficiency of the method w as tested. The stability of synchronous movement of the eliminators with ex citation was verified. A criterion of this stability was given and conditio ns were set in which vibrator motions assuring vibration elimination may oc cur. The maximum difference between excitation frequency and initial veloci ty of vibrators was investigated for which synchronous interruptions may ev olve. It was shown that synchronous vibrator motions and the elimination of object vibrations can occur only in supercritical ranges of excitation fre quencies. On the contrary, in undercritical ranges vibrators increase objec t vibrations. (C) 2000 Academic Press.