Abstract
Choices of excitation signals are important in engineering sciences and in physical simulations; a sufficient excitation can be critical in modelling a complicated nonlinear dynamic system. The discontinuous dynamic of a non-linear, friction-induced with two idealized periodical forced oscillators is studied. The dry friction in the system follows the classical Coulomb law, and various friction characteristics of dry friction laws in engineering sciences. To capture the presence of the two driving forces, the system must be studied as a function of their frequency-modulated and its equivalent amplitude modulated waveforms. Our numerical investigation shows a rich dynamical behaviour including periodic, quasi-periodic motions, thus a variable dynamics phenomenon among others; such as modulated waves, modulated stick-slip, periodic oscillation, and periodic stick-slip. It seems that such excitation forces can be used to conveniently identify the existence of nonlinearity, dry friction effects, and strength degradation in the system. The results achieved via the Coulomb’s law are compared with those obtained via two others particular friction laws: the complete model with Stribeck effect and Coulomb viscosity.
Highlights
There are many different types of dry friction models and it is crucial to appropriately choose oneHow to cite this paper: Von Kluge, P.N., Germaine, D.K. and Crépin, K.T. (2015) Dry Friction with Various Frictions Laws: From Wave Modulated Orbit to Stick-Slip Modulated
One can observe that if w1 smaller than the natural frequency w0, the bandwidth became bigger as ν increase and for weakest values of η, the stick-slip modulated begin for very large values of u0, the response to a periodic oscillation is described in all figures in parameter maps for integer ratio ν outcast stick-slip band
The first main purpose of this paper was to investigate the influence of the frequencies, in external excitation with two harmonic driving forces in the case of a moving base
Summary
There are many different types of dry friction models and it is crucial to appropriately choose one. Friction-induced vibration, chatter and squeal [6] cause serious problems in many industrial applications, including turbine blade joints, robot joints, electric motor drives, water-lubricated bearings in ships and submarines, wheel/rail coupling of mass transit systems, machine tool/work piece systems and brake systems. These forms of vibration [7] can cause excessive wear of components: surface damage, fatigue failure, and noise. Systems with dry friction possess many different types of dynamical behaviour [10], such as periodical oscillation and periodical stick-slip. The aim is to understand how the response of the system is affected by the amplitude modulated and the ratio of the frequencies modulated of the two driving forces using either the Coulomb’s law or other particular friction laws
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