TY - GEN
T1 - Toward a systematic construction of the basis for nonlinear geometric reduced order models
AU - Wang, X. Q.
AU - Mignolet, Marc P.
N1 - Funding Information:
The authors gratefully acknowledge the support of this work by the AFRL-University Collaborative Center in Structural Sciences Cooperative Agreement FA8650-13-2-2347 with Dr. Ben Smarslok as program manager.
Publisher Copyright:
© 2020 European Association for Structural Dynamics. All rights reserved.
PY - 2020
Y1 - 2020
N2 - Reduced order modeling for nonlinear geometric vibrations of thin-walled structures has been an active research subject in the last two decades due, in particular, to its advantage in significantly reducing the computational cost of determining the dynamic response. Two key issues of this modeling are the construction of the basis and the identification of nonlinear stiffness coefficients. The present study focuses on the basis construction and a systematic strategy is proposed to achieve it using data derived from the linear modes of the structure with some general information about the dynamic loading, e.g., cut-off frequency. Thus, the basis is applicable to a broad range of such dynamic loadings. A clamped-clamped straight beam is used to demonstrate the construction of bases according to the proposed strategy. A force distribution mapped from measured aerodynamic pressure distribution is used as loading for which both static and dynamic nonlinear responses are obtained at various levels, from weakly to very strong nonlinear, and from both finite element and reduced order models. This data is used to assess the constructed bases and validate the predictions of the ensuing reduced order models. It is shown that the constructed bases provide a very good representation of the finite element nonlinear structural responses and that the corresponding reduced order model lead to accurate predictions of these responses. The importance of adding out-of-band linear modes in the basis is also demonstrated.
AB - Reduced order modeling for nonlinear geometric vibrations of thin-walled structures has been an active research subject in the last two decades due, in particular, to its advantage in significantly reducing the computational cost of determining the dynamic response. Two key issues of this modeling are the construction of the basis and the identification of nonlinear stiffness coefficients. The present study focuses on the basis construction and a systematic strategy is proposed to achieve it using data derived from the linear modes of the structure with some general information about the dynamic loading, e.g., cut-off frequency. Thus, the basis is applicable to a broad range of such dynamic loadings. A clamped-clamped straight beam is used to demonstrate the construction of bases according to the proposed strategy. A force distribution mapped from measured aerodynamic pressure distribution is used as loading for which both static and dynamic nonlinear responses are obtained at various levels, from weakly to very strong nonlinear, and from both finite element and reduced order models. This data is used to assess the constructed bases and validate the predictions of the ensuing reduced order models. It is shown that the constructed bases provide a very good representation of the finite element nonlinear structural responses and that the corresponding reduced order model lead to accurate predictions of these responses. The importance of adding out-of-band linear modes in the basis is also demonstrated.
KW - Basis construction
KW - Non-intrusive reduced order modeling
KW - Nonlinear geometric vibration
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M3 - Conference contribution
AN - SCOPUS:85099730888
T3 - Proceedings of the International Conference on Structural Dynamic , EURODYN
SP - 335
EP - 354
BT - EURODYN 2020 - 11th International Conference on Structural Dynamics, Proceedings
A2 - Papadrakakis, Manolis
A2 - Fragiadakis, Michalis
A2 - Papadimitriou, Costas
PB - European Association for Structural Dynamics
T2 - 11th International Conference on Structural Dynamics, EURODYN 2020
Y2 - 23 November 2020 through 26 November 2020
ER -