Details
| Original language | English |
|---|---|
| Title of host publication | Nonlinear Structures and Systems, Volume 1 |
| Subtitle of host publication | Proceedings of the 37th IMAC, A Conference and Exposition on Structural Dynamics 2019 |
| Editors | Gaetan Kerschen, M.R.W. Brake, Ludovic Renson |
| Place of Publication | Cham |
| Publisher | Springer Verlag |
| Pages | 213-216 |
| Number of pages | 4 |
| ISBN (electronic) | 9783030123918 |
| ISBN (print) | 9783030123901 |
| Publication status | Published - 29 Jun 2019 |
| Event | 37th IMAC, A Conference and Exposition on Structural Dynamics, 2019 - Orlando, United States Duration: 28 Jan 2019 → 31 Jan 2019 |
Publication series
| Name | Conference Proceedings of the Society for Experimental Mechanics Series |
|---|---|
| ISSN (Print) | 2191-5644 |
| ISSN (electronic) | 2191-5652 |
Abstract
The need of lightweight design in structural engineering is steadily growing due to economic and ecological reasons. This usually causes the structure to exhibit moderate to large displacements and rotations, resulting in a distributed nonlinear behavior. However, the characterization of geometrical nonlinearities is challenging and sensitive to structural boundaries and loading. It is commonly performed with numerical simulations, utilizing particularly finite element formulations. This study comprises simulations of a clamped-clamped beam with moderate to large amplitude oscillations. Four different (commercial and noncommercial) numerical approaches are considered: three finite element representations and one assumed-modes approach. A first comparison is conducted when the system is under a sine sweep excitation over one single mode. Subsequently, a modified model featuring nonlinear internal resonance is considered, to disclose differences in the modeling of the nonlinearity when coupling between modes occurs. The results show some expected features for geometrical nonlinearities in all methods, but also some important differences, especially when the modal interaction is activated.
Keywords
- Distributed nonlinearity, Geometrical nonlinearity, Internal resonances, Modal interaction, Nonlinear beam, Numerical methods
ASJC Scopus subject areas
- Engineering(all)
- General Engineering
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanical Engineering
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
Nonlinear Structures and Systems, Volume 1: Proceedings of the 37th IMAC, A Conference and Exposition on Structural Dynamics 2019. ed. / Gaetan Kerschen; M.R.W. Brake; Ludovic Renson. Cham: Springer Verlag, 2019. p. 213-216 (Conference Proceedings of the Society for Experimental Mechanics Series).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Dynamics of geometrically-nonlinear beam structures, part 1
T2 - 37th IMAC, A Conference and Exposition on Structural Dynamics, 2019
AU - Anastasio, D.
AU - Noël, J. P.
AU - Kerschen, G.
AU - Marchesiello, S.
AU - Häfele, J.
AU - Gebhardt, C. G.
AU - Rolfes, R.
AU - Dietrich, J.
PY - 2019/6/29
Y1 - 2019/6/29
N2 - The need of lightweight design in structural engineering is steadily growing due to economic and ecological reasons. This usually causes the structure to exhibit moderate to large displacements and rotations, resulting in a distributed nonlinear behavior. However, the characterization of geometrical nonlinearities is challenging and sensitive to structural boundaries and loading. It is commonly performed with numerical simulations, utilizing particularly finite element formulations. This study comprises simulations of a clamped-clamped beam with moderate to large amplitude oscillations. Four different (commercial and noncommercial) numerical approaches are considered: three finite element representations and one assumed-modes approach. A first comparison is conducted when the system is under a sine sweep excitation over one single mode. Subsequently, a modified model featuring nonlinear internal resonance is considered, to disclose differences in the modeling of the nonlinearity when coupling between modes occurs. The results show some expected features for geometrical nonlinearities in all methods, but also some important differences, especially when the modal interaction is activated.
AB - The need of lightweight design in structural engineering is steadily growing due to economic and ecological reasons. This usually causes the structure to exhibit moderate to large displacements and rotations, resulting in a distributed nonlinear behavior. However, the characterization of geometrical nonlinearities is challenging and sensitive to structural boundaries and loading. It is commonly performed with numerical simulations, utilizing particularly finite element formulations. This study comprises simulations of a clamped-clamped beam with moderate to large amplitude oscillations. Four different (commercial and noncommercial) numerical approaches are considered: three finite element representations and one assumed-modes approach. A first comparison is conducted when the system is under a sine sweep excitation over one single mode. Subsequently, a modified model featuring nonlinear internal resonance is considered, to disclose differences in the modeling of the nonlinearity when coupling between modes occurs. The results show some expected features for geometrical nonlinearities in all methods, but also some important differences, especially when the modal interaction is activated.
KW - Distributed nonlinearity
KW - Geometrical nonlinearity
KW - Internal resonances
KW - Modal interaction
KW - Nonlinear beam
KW - Numerical methods
UR - http://www.scopus.com/inward/record.url?scp=85070759565&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-12391-8_28
DO - 10.1007/978-3-030-12391-8_28
M3 - Conference contribution
AN - SCOPUS:85070759565
SN - 9783030123901
T3 - Conference Proceedings of the Society for Experimental Mechanics Series
SP - 213
EP - 216
BT - Nonlinear Structures and Systems, Volume 1
A2 - Kerschen, Gaetan
A2 - Brake, M.R.W.
A2 - Renson, Ludovic
PB - Springer Verlag
CY - Cham
Y2 - 28 January 2019 through 31 January 2019
ER -