Analysis of vibrational systems with Coulomb friction (1st report, an example of dynamic damper system)

This paper deals with the vibrations of linear and nonlinear dynamic dampers as examples of systems with Coulomb friction. A direct numerical integral method is presented as the one to analyze systems with discontinuities such as Coulomb friction. The analytical method to obtain the solution of vibration with two sticks in a period is also presented. Comparing solutions derived from these two methods clarifies that the solution of the latter is exact and that of the former is high approximate. The solution using equivalent viscous damping is also compared with the solutions mentioned above. As a result, it turns out that this is a good approximate solution only in small Coulomb friction.