Enabling harmonic balance method to be applied for distributed geometric nonlinearities in structural dynamics

S. Lian, F. El Haddad, L. Salles

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, a general harmonic balance finite element method is developed for the 3D structure. An investigation of the nonlinear dynamic behavior of a three dimensional beam due to distributed geometric nonlinearities arising from large displacements is proposed in this paper. Green-Lagrange strain measures paired with the Harmonic Balance Method with Alternating Frequency/Time (HB-AFT) domain technique to simulate the nonlinear response has been used to obtain the dynamic behaviours for both the linear and nonlinear cases. It has been found that geometric nonlinearities present hardening effects on the forced frequency response of the system. Also, higher order elements have shown to better capture the vibration characteristics of the structure, however this comes with a cost of increased computational time.

Original languageEnglish
Title of host publicationProceedings of ISMA 2020 - International Conference on Noise and Vibration Engineering and USD 2020 - International Conference on Uncertainty in Structural Dynamics
EditorsW. Desmet, B. Pluymers, D. Moens, S. Vandemaele
PublisherKU Leuven - Departement Werktuigkunde
Pages2731-2743
Number of pages13
ISBN (Electronic)9789082893113
Publication statusPublished - 2020
Externally publishedYes
Event2020 International Conference on Noise and Vibration Engineering, ISMA 2020 and 2020 International Conference on Uncertainty in Structural Dynamics, USD 2020 - Leuven, Belgium
Duration: 7 Sep 20209 Sep 2020

Publication series

NameProceedings of ISMA 2020 - International Conference on Noise and Vibration Engineering and USD 2020 - International Conference on Uncertainty in Structural Dynamics

Conference

Conference2020 International Conference on Noise and Vibration Engineering, ISMA 2020 and 2020 International Conference on Uncertainty in Structural Dynamics, USD 2020
Country/TerritoryBelgium
CityLeuven
Period7/09/209/09/20

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