Application of control-based continuation to a nonlinear structure with harmonically coupled modes

Autor: David A W Barton, Ludovic Renson, Simon A Neild, Alexander D. Shaw
Jazyk: angličtina
Rok vydání: 2019
Předmět:
0209 industrial biotechnology
Physics - Instrumentation and Detectors
control-based continuation
FOS: Physical sciences
Aerospace Engineering
02 engineering and technology
01 natural sciences
Stability (probability)
Continuation
nonlinear dynamics
modal interaction
020901 industrial engineering & automation
Control theory
0103 physical sciences
Control (linguistics)
010301 acoustics
Civil and Structural Engineering
Physics
Forcing (recursion theory)
Engineering Mathematics Research Group
experiment
multi-degree-of-freedom
Mechanical Engineering
System identification
Instrumentation and Detectors (physics.ins-det)
Nonlinear Sciences - Chaotic Dynamics
Computer Science Applications
Nonlinear system
Amplitude
Control and Systems Engineering
Signal Processing
isola
Chaotic Dynamics (nlin.CD)
Constant (mathematics)
Zdroj: Renson, L, Shaw, A D, Barton, D & Neild, S 2019, ' Application of control-based continuation to a nonlinear structure with harmonically coupled modes ', Mechanical Systems and Signal Processing, vol. 120, pp. 449-464 . https://doi.org/10.1016/j.ymssp.2018.10.008
DOI: 10.1016/j.ymssp.2018.10.008
Popis: This paper presents a systematic method for exploring the nonlinear dynamics of multi-degree-of-freedom (MDOF) physical experiments. To illustrate the power of this method, known as control-based continuation (CBC), it is applied to a nonlinear beam structure that exhibits a strong 3:1 modal coupling between its first two bending modes. CBC is able to extract a range of dynamical features, including an isola, directly from the experiment without recourse to model fitting or other indirect data-processing methods. Previously, CBC has only been applied to (essentially) single-degree-of-freedom experiments; in this paper we show that the required feedback-control methods and path-following techniques can equally be applied to MDOF systems. A low-level broadband excitation is initially applied to the experiment to obtain the requisite information for controller design and, subsequently, the physical experiment is treated as a `black box' that is probed using CBC. The invasiveness of the controller used is analysed and experimental results are validated with open-loop measurements. Good agreement between open- and closed-loop results is achieved, though it is found that care needs to be taken in dealing with the presence of higher-harmonics in the force applied to the structure.
24 pages, 12 figures
Databáze: OpenAIRE
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