Optimal Design of an Impact Damper for a Nonlinear Friction-Driven Oscillator

In the present study a Friction-Driven oscillator is investigated analytically using perturbation method and numerically with Runge–Kutta’s integration procedure. The analytical method is also used to investigate damping performance of a single-particleimpact damper on amplitude and frequency of system over a wide range of particle-to-structure mass ratios, clearance, and coefficients of restitution. Considering sensitivity of the system to variation of mass ratio and coefficient of restitution, optimal values are obtained for these parameters. These optimal values are plotted as a function of the other two parameters. The frequency of the system has low sensitivity to the variation of coefficient of restitution but varies with clearance and mass ratio changes. Keywords: Friction-Driven oscillator, Impact damper, Perturbation, Optimal coefficient of restitution.