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pro vyhledávání: '"Renson L"'
We propose a new hybrid modelling approach that combines a mechanistic model with a machine-learnt model to predict the limit cycle oscillations of physical systems with a Hopf bifurcation. The mechanistic model is an ordinary differential equation n
Externí odkaz:
http://arxiv.org/abs/2209.06910
This paper introduces a machine learning approach to take a nonlinear differential-equation model that exhibits qualitative agreement with a physical experiment over a range of parameter values and produce a hybrid model that also exhibits quantitati
Externí odkaz:
http://arxiv.org/abs/2011.02041
Publikováno v:
In Mechanical Systems and Signal Processing 15 May 2023 191
Control-based continuation (CBC) is a general and systematic method to probe the dynamics of nonlinear experiments. In this paper, CBC is combined with a novel continuation algorithm that is robust to experimental noise and enables the tracking of ge
Externí odkaz:
http://arxiv.org/abs/1901.06970
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
Externí odkaz:
http://arxiv.org/abs/1808.01865
Nonlinear normal modes (NNMs) are widely used as a tool for developing mathematical models of nonlinear structures and understanding their dynamics. NNMs can be identified experimentally through a phase quadrature condition between the system respons
Externí odkaz:
http://arxiv.org/abs/1801.00813
Autor:
Abeloos, G., Müller, F., Ferhatoglu, E., Scheel, M., Collette, C., Kerschen, G., Brake, M.R.W., Tiso, P., Renson, L., Krack, M.
Publikováno v:
In Mechanical Systems and Signal Processing 1 May 2022 170
Publikováno v:
Mechanical Systems and Signal Processing, 74, 95-110, 2016
The objective of the present paper is to develop a two-step methodology integrating system identification and numerical continuation for the experimental extraction of nonlinear normal modes (NNMs) under broadband forcing. The first step processes ac
Externí odkaz:
http://arxiv.org/abs/1604.08069
Akademický článek
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Publikováno v:
In Mechanical Systems and Signal Processing 1 April 2019 120:449-464