Mehanika mašina i mehanizama - modeli i matematičke metode, 12. novembar 2019.

Naredni sastanak Seminara biće održan u utorak, 12. novembra 2019. u sali 301f Matematičkog instituta SANU sa početkom u 17 časova.

Predavač: Ivana Kovačić, Centre for Vibro-Acoustic Systems and Signal Processing CEVAS, Faculty of Technical Sciences, University of Novi Sad

Naslov predavanja: ON A DETECHED FREQUENCY RESPONSE CURVE OF COUPLED NONLINEAR AND LINEAR OSCILLATORS: ANALYTICAL, NUMERICAL AND EXPERIMENTAL RESULTS

Apstrakt:
This lecture aims at presenting a brief overview of the main analytical, numerical and experimental results achieved by the presenter and her co-authors Michael J Brennan (Brazil, ex UK) and Gianluca Gatti (Italy) during the previous decade in the field of nonlinear dynamics of vibration isolators and coupled oscillators. Motivated by the experimental phenomena observed in the dynamics of a test-rig consisting of a shaker and an attached nonlinear oscillator, a first attempt was done to derive an analytical solution for the system response in terms of the frequency response curve (FRC), whose theoretical solution was validated numerically and experimentally. The corresponding FRC was found to be characterized by the existence of an inner detached part. However, the main assumption was that the mass of the attached nonlinear system was much less than the moving mass of the shaker. As a result, the effect of the shaker dynamics on the nonlinear system behaviour was significant, but the counter-effect was negligible, so that the mathematical formulation did not allow, for example, an insight on the performance of the nonlinear oscillator as a mass damper for the primary systems. To overcome such limitation, a subsequent work was carried out, where the assumption for a small mass ratio was removed, but the limitation was that the natural frequency of the shaker was considered much lower than the linear natural frequency of the attachment. A recent experimental work provided a final evidence of the theoretical findings of the creation and existence of the inner detached part of the FRC reported previously.



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