Imperial College London
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DrLudovicRenson

Faculty of Engineering, Department of Mechanical Engineering

Senior Lecturer
 
 
 
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Contact

 

+44 (0)20 7594 7088l.renson

 
 
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Location

 

558City and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Mélot:2024:10.1098/rspa.2023.0505,
author = {Mélot, A and Denimal, E and Renson, L},
doi = {10.1098/rspa.2023.0505},
journal = {Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences},
title = {Multi-parametric optimization for controlling bifurcation structures},
url = {http://dx.doi.org/10.1098/rspa.2023.0505},
volume = {480},
year = {2024}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Bifurcations organize the dynamics of many natural and engineered systems. They induce qualitative and quantitative changes to a system's dynamics, which can have catastrophic consequences if ignored during design. In this paper, we propose a general computational method to control the local bifurcations of dynamical systems by optimizing design parameters. We define an objective functional that enforces the appearance of local bifurcation points at targeted locations or even encourages their disappearance. The methodology is an efficient alternative to bifurcation tracking techniques capable of handling many design parameters (>102). The method is demonstrated on a Duffing oscillator featuring a hardening cubic nonlinearity and an autonomous van der Pol-Duffing oscillator coupled to a nonlinear tuned vibration absorber. The finite-element model of a clamped-free Euler-Bernoulli beam, coupled with a reduced-order modelling technique, is also used to show the extension to the shape optimization of more complicated structures. Results demonstrate that several local bifurcations of various types can be handled simultaneously by the bifurcation control framework, with both parameter and state target values.
AU  - Mélot,A
AU  - Denimal,E
AU  - Renson,L
DO  - 10.1098/rspa.2023.0505
PY  - 2024///
SN  - 1364-5021
TI  - Multi-parametric optimization for controlling bifurcation structures
T2  - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
UR  - http://dx.doi.org/10.1098/rspa.2023.0505
VL  - 480
ER  -
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