An improved tensorial implementation of the incremental harmonic balance method for frequency-domain stability analysis

Suguang Dou*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

22 Downloads (Pure)

Abstract

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.
Original languageEnglish
Title of host publicationNodycon 2021
PublisherSpringer
Publication statusAccepted/In press - 2021
EventNODYCON 2021: Second International Nonlinear Dynamics Conference - online, Rome, Italy
Duration: 16 Feb 202119 Feb 2021
Conference number: 1
https://nodycon.org/2021/

Conference

ConferenceNODYCON 2021
Number1
Locationonline
Country/TerritoryItaly
CityRome
Period16/02/202119/02/2021
Internet address

Keywords

  • Nonlinear dynamics
  • Harmonic balance
  • Stability
  • Floquet exponents
  • Tensorial implementation

Fingerprint

Dive into the research topics of 'An improved tensorial implementation of the incremental harmonic balance method for frequency-domain stability analysis'. Together they form a unique fingerprint.

Cite this