Harmonic response of beam with different friction models

Friction is an important reason for damping and wastingenergy in dynamic mechanical systems whose equation isnonlinear. In this paper, Complex Averaging Method isused for frequency analysis. Some calculation is done forconverting models nonlinear equations to averaging form.For considering different friction features three frictionmodels is exercised for frequency analysis which areColomb, Dahl and LuGre model. The same parameters offriction models are considered equal to compare them.Discussed problem is free vibration of a clamped-free beamand the friction force is located in its end. Finally Thefigure of frequency-amplitude is depicted which indicatesthe variety of models behavior.