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Pregled bibliografske jedinice broj: 368144

Influence of small harmonic terms on eigenvalues of monodromy matrix of piecewise-linear oscillators


Wolf, Hinko; Banić, Dubravko; Sušić, Aleksandar
Influence of small harmonic terms on eigenvalues of monodromy matrix of piecewise-linear oscillators // Meccanica, 43 (2008), 5; 485-494 (međunarodna recenzija, članak, znanstveni)


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Naslov
Influence of small harmonic terms on eigenvalues of monodromy matrix of piecewise-linear oscillators

Autori
Wolf, Hinko ; Banić, Dubravko ; Sušić, Aleksandar

Izvornik
Meccanica (0025-6455) 43 (2008), 5; 485-494

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Incremental harmonic balance method; Floquet-Liapounov theorem; Dynamical stability; Piecewise-linear oscillator; Applied mechanics

Sažetak
In this paper we consider the problem which can appear at the determination of the dynamical stability of the responses of oscillators with discontinuous or steep derivative of the restoring characteristic obtained in the frequency domain. For that purpose, a simple one degree-of-freedom system with piecewise-linear force-displacement relationship subjected to a harmonic excitation is analysed. Stability of the periodic response obtained in the frequency domain by the incremental harmonic balance method is determined by using the Floquet-Liapounov theorem. Confirmation of the results obtained in the frequency domain is done by comparing with the results obtained in the time domain by the method of piecing the exact solutions. Determination of the dynamical stability can be made more reliable by using the proposed plot of maximum modulus of the eigenvalues of the monodromy matrix in dependence of non-dimensional frequency and the number of harmonics included in the supposed approximate solution.

Izvorni jezik
Engleski

Znanstvena područja
Grafička tehnologija, Strojarstvo



POVEZANOST RADA


Projekti:
120-0362321-2198 - Numerička i eksperimentalna istraživanja nelinearnih mehaničkih sustava (Wolf, Hinko, MZOS ) ( POIROT)
120-1962766-3109 - VIRTUALNA TRODIMENZIJSKA PRIMJENJENA ANTROPOLOGIJA (Jurčević-Lulić, Tanja, MZOS ) ( POIROT)
128-1281955-1951 - Standardizacija ekološki prihvatljivih procesa grafičkih komunikacija (Milčić, Diana, MZOS ) ( POIROT)

Ustanove:
Fakultet strojarstva i brodogradnje, Zagreb,
Grafički fakultet, Zagreb

Profili:

Avatar Url Hinko Wolf (autor)

Avatar Url Dubravko Banić (autor)

Avatar Url Aleksandar Sušić (autor)


Citiraj ovu publikaciju:

Wolf, Hinko; Banić, Dubravko; Sušić, Aleksandar
Influence of small harmonic terms on eigenvalues of monodromy matrix of piecewise-linear oscillators // Meccanica, 43 (2008), 5; 485-494 (međunarodna recenzija, članak, znanstveni)
Wolf, H., Banić, D. & Sušić, A. (2008) Influence of small harmonic terms on eigenvalues of monodromy matrix of piecewise-linear oscillators. Meccanica, 43 (5), 485-494.
@article{article, year = {2008}, pages = {485-494}, keywords = {Incremental harmonic balance method, Floquet-Liapounov theorem, Dynamical stability, Piecewise-linear oscillator, Applied mechanics}, journal = {Meccanica}, volume = {43}, number = {5}, issn = {0025-6455}, title = {Influence of small harmonic terms on eigenvalues of monodromy matrix of piecewise-linear oscillators}, keyword = {Incremental harmonic balance method, Floquet-Liapounov theorem, Dynamical stability, Piecewise-linear oscillator, Applied mechanics} }
@article{article, year = {2008}, pages = {485-494}, keywords = {Incremental harmonic balance method, Floquet-Liapounov theorem, Dynamical stability, Piecewise-linear oscillator, Applied mechanics}, journal = {Meccanica}, volume = {43}, number = {5}, issn = {0025-6455}, title = {Influence of small harmonic terms on eigenvalues of monodromy matrix of piecewise-linear oscillators}, keyword = {Incremental harmonic balance method, Floquet-Liapounov theorem, Dynamical stability, Piecewise-linear oscillator, Applied mechanics} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus





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