Determining Frequency-Energy Dependencyof Nonlinear Normal Modes and Internal ResonancesUsing a Numerical Independent Approach

• Autorzy: Ghariblou Arash , Mahmoudi Mussa

Identyfikatory

DOI

10.24423/cames.523

• Języki publikacji: EN

Abstrakty

EN

Application of linear normal modes to the nonlinear area provides an in-depth investigation of structures. In this paper, a straightforward approach is proposed to investigatenonlinear normal modes (NNMs) thoroughly and focus on all possible solutions and bifurcations, independent of all initial assumptions and prior solutions. In this context, afterdiscretization of the response domain over an appropriate resolution, a periodicity algorithm is suggested to capture the solutions that meet the NNMs criteria. Afterward, thefrequency and energy of the system during accepted responses and degrees of freedom(DOFs)’ relations are derived. Finally, after verifying the proposed approach and acquir-ing new internal resonances, the frequency-energy plots and NNMs of a nonlinear elasticsystem with more substantial nonlinearities and a two-story steel structure with nonlinearmaterial are studied. It is worth noting that the periodicity algorithm and capturing allpossible solutions and bifurcations are among the apparent novelties of the current paper.

Słowa kluczowe

EN

nonlinear normal mode; frequency-energy dependency; independent approach; internal resonance; bifurcations; nonlinear dynamic analysis

PL

nieliniowy tryb normalny; zależność częstotliwościowo-energetyczna; niezależne podejście; rezonans wewnętrzny; bifurkacje; nieliniowa analiza dynamiczna

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Methods in Engineering and Science
• Rocznik: 2022
• Tom: Vol. 29, no. 3
• Strony: 261--292
• Opis fizyczny: Bibliogr. 42 poz., rys., wykr.

Twórcy

autor

Ghariblou Arash

• Department of Structural Engineering, Faculty of Civil Engineering, Shahid RajaeeTeacher Training University, Tehran, Iran

autor

Mahmoudi Mussa

• Department of Structural Engineering, Faculty of Civil Engineering, Shahid RajaeeTeacher Training University, Tehran, Iran

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).