Experience and Simulation in Dynamic Systems with Discontinuities
Non-smooth nonlinearity is abundant in nature being usually related to either the friction phenomenon or the discontinuous characteristics as intermittent contacts of some system components. Non-smooth systems appear in many kinds of engineering systems and also in everyday life. Examples may be mentioned by the stick-slip oscillations of a violin string or grating brakes . Some related phenomena as chatter and squeal causes serious problems in many industrial applications .
KeywordsImpact Mass Support Characteristic Support Inertia Internal Impact Chaotic Response
Unable to display preview. Download preview PDF.
- 4.Leine R.I. (2000) “Bifurcations in Discontinuous Mechanical Systems of Filippov-Type”, Ph.D. Thesis, Technische Universiteit Eindhoven.Google Scholar
- 6.Divenyi S., Savi M.A., Franca L.F.P., Weber, H.I. (2006) “Nonlinear Dynamics and Chaos in Systems with Discontinuous Support”, Shock and Vibration, to appear.Google Scholar
- 8.Wiercigroch M., Sin V.W.T. (1998) “Experimental Study of a Symmetrical Piecewise Base-Excited Oscillator”, Journal of Applied Mechanics-ASME, v.65, pp.657–663.Google Scholar
- 12.Savi M.A., Divenyi S., Franca L.F.P., Weber H.I. (2006) “Numerical and Experimental Investigations of the Nonlinear Dynamics and Chaos in Non-Smooth Systems”, submitted to the Journal of Sound and Vibration.Google Scholar