This article presents results of simulation of one degree of freedom system with: clearance, linear damping and dry friction. This system models for example machine tools vibrations. Clearance and dry friction introduce strong non-linearity to the studied system. Center and focus are segments, and thus number of equilibrium positions is unlimited. Time histories have characteristic shape, and reveal non-linearity; especially time history of acceleration. Moreover, following trajectories were studied: x-dx/dt, x-d2x/dt2, dx/dt-d2x/dt2, and 3D x-dx/dt-d2x/dt2. They are very useful to identify spring and damping forces and kind of vibrations. These trajectories should be widely employed.

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