Paper published in a book (Scientific congresses and symposiums)
Estimation of the periodic solutions of geometrically nonlinear structures by broadband excitation
Anastasio, D.; Marchesiello, S.; Kerschen, Gaëtan
2024 • In Desmet, W. (Ed.) Proceedings of ISMA 2024 - International Conference on Noise and Vibration Engineering and USD 2024 - International Conference on Uncertainty in Structural Dynamics
Broadband excitation; Excitation state; Geometrically nonlinear structures; Harmonic Balance method; Large amplitude oscillation; Nonlinear state space models; Periodic solution; Reduced order; Subspace identification methods; Thin-walled structures; Mechanical Engineering; Mechanics of Materials; Acoustics and Ultrasonics
Abstract :
[en] This paper proposes a methodology for indirectly estimating the periodic solutions of geometrically nonlinear structures using broadband excitation and nonlinear state-space modeling. The methodology is well-suited for thin-walled structures under large amplitude oscillations, and offers a valuable alternative to traditional harmonic-based methods, particularly in situations where such measurements are impractical or difficult to obtain. It relies first on the identification of the reduced-order nonlinear state-space model of the structure under broadband excitation, using the Modal-NSI (Nonlinear Subspace Identification) method. Then, the periodic solutions are studied by merging the Modal-NSI framework with the Harmonic Balance Method (HBM). A continuation technique is adopted to construct the Nonlinear Frequency Response Curves (NFRCs) of the structure, and a monodromy-based stability analysis is developed. The proposed methodology is validated on an experimental thin beam exhibiting a distributed geometrical nonlinearity.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Anastasio, D.; Politecnico di Torino, Department of Mechanical and Aerospace Engineering, Torino, Italy
Marchesiello, S.; Politecnico di Torino, Department of Mechanical and Aerospace Engineering, Torino, Italy
Kerschen, Gaëtan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Language :
English
Title :
Estimation of the periodic solutions of geometrically nonlinear structures by broadband excitation
Publication date :
2024
Event name :
ISMA 2024 - International Conference on Noise and Vibration Engineering
Event place :
Leuven, Bel
Event date :
09-09-2024 => 11-09-2024
Main work title :
Proceedings of ISMA 2024 - International Conference on Noise and Vibration Engineering and USD 2024 - International Conference on Uncertainty in Structural Dynamics
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