The paper presents a theoretical study of the damping process of non-linear vibrations in a one-mass model of a mechanical system over a friction joint. The problem is considered assuming a uniform unit pressure distribution between the contacting surfaces of the conical sleeve-shaft neck of the friction joint. The steady-state motion of the system is subject to harmonic excitation. The analysis includes the following: the influence of geometric parameters of the system, its external load amplitude, unit pressures and the friction coefficient upon the amplitude-frequency characteristics and the phase-frequency characteristics. Structural friction has been also taken into account. The equation of motion of the examined mechanical system has been solved by means of the slowly varying parameters (Van der Pol) method and a numerical simulation method.
The paper presents theoretical and experimental studies of energy dissipation in a model of a conical sleeve-pivot joint. Energy dissipation between cooperating surfaces of a friction pair including structural friction, elastic and frictional effects between its elements and Lame’s problem are taken into account. A comparative analysis was conducted to compare the theoretical results obtained from numerical simulations and direct experimental data acquired from the MTS testing machine. The analysis of the influence of geometrical and material parameters, external loading on the dissipation of energy is presented too. This paper shows an outline of theoretical considerations, the method for conducting tests as well as selected comparative results.
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