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Pregled bibliografske jedinice broj: 760398

Response and dynamical stability of oscillators with discontinuous or steep first derivative of restoring characteristic


Wolf, Hinko; Banić, Dubravko; Božić, Željko
Response and dynamical stability of oscillators with discontinuous or steep first derivative of restoring characteristic // 10th International Conference Describing Complex Systems
Zadar, Hrvatska, 2008. (predavanje, podatak o recenziji nije dostupan, neobjavljeni rad, ostalo)


Naslov
Response and dynamical stability of oscillators with discontinuous or steep first derivative of restoring characteristic

Autori
Wolf, Hinko ; Banić, Dubravko ; Božić, Željko

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, ostalo

Skup
10th International Conference Describing Complex Systems

Mjesto i datum
Zadar, Hrvatska, 4-7. 09. 2008

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Podatak o recenziji nije dostupan

Ključne riječi
Dynamical stability ; response characteristic ; non-linear vibrations ; piecewise-linear system

Sažetak
Response and dynamical stability of oscillators with discontinuous or steep first derivative of restoring characteristic is considered in this paper. For that purpose, a simple single- degree-of-freedom system with piecewise-linear force-displacement relationship subjected to a harmonic force excitation is analysed by the method of piecing the exact solutions (MPES) in the time domain and by the incremental harmonic balance method (IHBM) in the frequency domain. The stability of the periodic solutions obtained in the frequency domain by IHBM is estimated by the Floquet-Liapounov theorem. Obtained frequency response characteristic is very complex and includes multi-frequency response for a single frequency excitation, jump phenomenon, multi-valued and non-periodic solutions. Determining of frequency response characteristic in the time domain by MPES is exceptionally time consuming, particularly inside the frequency ranges of co-existence of multiple stable solutions. In the frequency domain, IHBM is very efficient and very well suited for obtaining wide range frequency response characteristics, parametric studies and bifurcation analysis. On the other hand, neglecting of very small harmonic terms (which in-significantly influence the r.m.s. values of the response and are very small in comparison to other terms of the spectrum) can cause very large error in evaluation of the eigenvalues of the monodromy matrix, and so they can lead to incorrect prediction of the dynamical stability of the solution. Moreover, frequency ranges are detected inside which the procedure of evaluation of eigenvalues of the monodromy matrix does not converge with increasing the number of harmonics included in the supposed approximate solution.

Izvorni jezik
Engleski

Znanstvena područja
Strojarstvo



POVEZANOST RADA


Projekt / tema
120-0362321-2198 - Numerička i eksperimentalna istraživanja nelinearnih mehaničkih sustava (Hinko Wolf, )

Ustanove
Fakultet strojarstva i brodogradnje, Zagreb