[en] Control-based continuation (CBC) and phase-locked loops (PLL) are two experimental testing methods that have demonstrated great potential for the non-parametric identification of key nonlinear dynamic features such as nonlinear frequency responses and backbone curves. Both CBC and PLL exploit stabilizing feedback control to steer the dynamics of the tested system towards the responses of interest and overcome important difficulties experienced when applying conventional testing methods such as sine sweeps to nonlinear systems. For instance, if properly designed, the feedback controller can prevent the system from exhibiting untimely transitions between coexisting responses or even losing stability due to bifurcations. This contribution aims to highlight the similarities that exist between CBC and PLL and present the first thorough comparison of their capabilities. Comparisons are supported by numerical simulations as well as experimental data collected on a conceptually simple nonlinear structure primarily composed of a thin curved beam. The beam is doubly clamped and exhibits nonlinear geometric effects for moderate excitation amplitudes.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Müller, Florian; University of Stuttgart > Aerospace Engineering and Geodesy > Institute of Aircraft Propulsion Systems
Abeloos, Gaëtan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Ferhatoglu, Erhan; Politecnico di Torino - POLITO > Mechanical and Aerospace Engineering
Scheel, Maren; University of Stuttgart > Aerospace Engineering and Geodesy > Institute of Aircraft Propulsion Systems
Brake, Matthew; William Marsh Rice University > Mechanical Engineering > Mechadynamics Laboratory
Tiso, Paolo; Swiss Federal Institute of Technology in Zurich - ETH Zurich > Department of Mechanical and Process Engineering
Renson, Ludovic; Imperial College London > Department of Mechanical Engineering > Dynamics Group
Krack, Malte; University of Stuttgart > Aerospace Engineering and Geodesy > Institute of Aircraft Propulsion Systems
Language :
English
Title :
Comparison between Control-Based Continuation and Phase-Locked Loop Methods for the Identification of Backbone Curves & Nonlinear Frequency Responses
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