A design method of system parameters for undamped smart spring vibration suppression system was studied. The dry friction damping of the system was transformed equivalently to viscous damping by equivalent linearization technique

as a result

the mathematical model of the system was established. The dimensionless differential equations of vibration were derived and the analytic solution of frequency response characteristics was obtained. The amplitude frequency characteristics of the system were numerically analyzed. The study results reveal that the amplitude frequency characteristic curve cluster of the system has a common point that will be shifted to the left as the mass ratio increases and to the right as the stiffness ratio increases. There is an optimum value

for the control parameters of system

which could make the peak value of amplitude frequency characteristic curve of the system be minimum. The optimum control parameter will reduce with the increase of the mass ratio

but it is not affected by the stiffness ratio. The formulas of frequency ratio

optimum control parameter and minimum amplitude corresponding to the common point of amplitude frequency characteristic curve cluster were derived. The selection principle and range of system parameters were proposed. The design method and procedures of system parameters of smart spring vibration suppression system were presented.