Dynamic analysis of dry friction system based on improved bilinear hysteretic model

Abstract

Considering that the dry friction force only shows stiffness characteristic when the normal contact force is high and combining with the existing conclusions of experimental research, the bilinear hysteresis model is improved. Runge kutta method is adapted to calculate the dynamic response of the dry friction damping system, the nonlinear characteristics of the system are analyzed by means of Fourier transform, Poincare diagram and phase diagram. Simulation results show that the system has no bifurcation and chaotic phenomenon when separation of dry friction contact is not considered, steady-state response and the friction force don't have sub-harmonic response and higher harmonic component is very small, which proves that using the equivalent linearization method which is based on the first order harmonic balance method to solve the dry friction damping system is accurate when separation is not considered; vibration reduction effect of the contact stiffness, excitation amplitude and normal load of dry friction damping system is obtained, and it is almost consistent with the related test results. The relevant conclusions can provide references for the design of dry friction damper in engineering.

Keywords

• machine dynamics and vibration
• dry friction system
• sophisticated bilinear hysteresis model
• nonlinear analysis
• vibration reduction