The paper investigates the existence and stability of periodic solutions and the structure of the phase space of the system undergoing a one-dimensional forced oscillation with impacts on a fixed limiter under the influence of dry friction force, which varies with the relative velocity according the piecewise-linear law. This problem is solved by point maps under the assumption that the falling portion of the characteristic of the dry friction force works. Using the method described above, the values of the coefficient of restitution of the velocity of the body impacting on the limiter, and the coefficient which characterizes the steepness of the dependence of the friction force for which can a stable periodic regime is possible in the system. The problem is of practical interest, since the considered scheme idealizes the work of vibrating tampers and springless vibration motors.
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