Abstract: In this paper, the formalas of power spectral density and of mean square value of displacement, velocity, acceleration and electric current of moving coil frame of electrodynamic vibration machine are derived when electric current or voltage is the ideal white noise power spectral density of the input, This methods of increasing mean square value of displacement, velocity and acceleration and of decreasing mean square value of electric current are proposed, The curve figures of power spectral density and of mean square value of displace meat, velocity, acceleration and electric current are given through culculation, The formulas and the curve figures in this paper can be used to design Randon vibration machine.