Book chapter · Conference paper
An improved tensorial implementation of the incremental harmonic balance method for frequency-domain stability analysis
Structural Integrity and Loads Assessment, Wind Energy Materials and Components Division, Department of Wind Energy, Technical University of Denmark1
System Engineering and Optimization, Wind Energy Systems Division, Department of Wind Energy, Technical University of Denmark2
Department of Wind Energy, Technical University of Denmark3
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.
| Language: | English |
|---|---|
| Publisher: | Springer |
| Year: | 2022 |
| Edition: | 1 |
| Pages: | 443-452 |
| Proceedings: | NODYCON 2021 |
| Series: | Nodycon Conference Proceedings Series |
| Journal subtitle: | Proceedings of the Second International Nonlinear Dynamics Conference (nodycon 2021), Volume 1 |
| ISBN: | 3030811611 , 303081162X , 303081162x , 9783030811617 , 9783030811624 , 3030811646 and 9783030811648 |
| ISSN: | 27307697 and 27307689 |
| Types: | Book chapter and Conference paper |
| DOI: | 10.1007/978-3-030-81162-4_39 |
| ORCIDs: | Dou, Suguang |
