Nonlinear reduced-order modelling for limit-cycle oscillation analysis

Gai, Guanqun and Timme, Sebastian ORCID: 0000-0002-2409-1686 (2016) Nonlinear reduced-order modelling for limit-cycle oscillation analysis. Nonlinear Dynamics, 84 (2). pp. 991-1009.

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Abstract

A nonlinear model reduction based on eigenmode decomposition and projection for the prediction of sub- and supercritical limit-cycle oscillation is presented herein. The paper focuses on the derivation of the reduced-order model formulation to include expansion terms up to fifth order such that higher-order nonlinear behaviour of a physical system can be captured. The method is applied to a two degree-of-freedom pitch–plunge aerofoil structural model in unsteady incompressible flow. Structural stiffness nonlinearity is introduced as a fifth-order polynomial, while the aerodynamics follow linear theory. It is demonstrated that the reduced-order model is capable of accurately capturing sub- and supercritical limit-cycle oscillations arising both from initial disturbances and gust excitation. Furthermore, an analysis of the computational cost associated with constructing such reduced-order model and its applicability to more complex aeroelastic problems is given.

Item Type:	Article
Uncontrolled Keywords:	Hopf bifurcation, Nonlinear model reduction, Eigenmode decomposition, Polynomial stiffness, Limit-cycle oscillation
Subjects:	?? TA ??
Depositing User:	Symplectic Admin
Date Deposited:	21 Jan 2016 09:32
Last Modified:	09 Mar 2023 07:43
DOI:	10.1007/s11071-015-2544-9
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/2046062