An improved tensorial implementation of the incremental harmonic balance method for frequency-domain stability analysis
| Autor: | Dou, Suguang |
|---|---|
| Přispěvatelé: | Lacarbonara, Walter, Balachandran, Balakumar, Leamy, Michael J., Ma, Ju, Machado, J. A. Tenreio, Stepan, Gabor |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Dou, S 2021, ' An improved tensorial implementation of the incremental harmonic balance method for frequency-domain stability analysis ', NODYCON 2021, Rome, Italy, 16/02/2021-19/02/2021 . NODYCON Conference Proceedings Series ISBN: 9783030811617 Dou, S 2022, An improved tensorial implementation of the incremental harmonic balance method for frequency-domain stability analysis . in W Lacarbonara, B Balachandran, M J Leamy, J Ma, J A T Machado & G Stepan (eds), Advances in Nonlinear Dynamics: Proceedings of the Second International Nonlinear Dynamics Conference (NODYCON 2021) . 1 edn, vol. 1, Springer, NODYCON Conference Proceedings Series, pp. 443-452, NODYCON 2021, Rome, Italy, 16/02/2021 . https://doi.org/10.1007/978-3-030-81162-4_39 |
| DOI: | 10.1007/978-3-030-81162-4_39 |
| Popis: | Previous studies have proposed a tensor-based implementation of the incremental harmonic balance (IHB) method for gradientbased structural optimization of nonlinear forced resonance and nonlinear normal modes. Here the original implementation is improved for realizing an accurate stability analysis in frequency domain. This improvement is motivated by the unaddressed problem that an accurate stability analysis often requires more harmonics than an accurate response analysis. The proposed improvement helps to reduce the number of harmonics required for an accurate stability analysis and therefore reduce the computational expense. The improved implementation is applied to a nonlinear finite element model of a clamped-clamped beam. The insight gained in this study may be used in other variants of the harmonic balance methods. |
| Databáze: | OpenAIRE |
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