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Linear Control of a Nonlinear Equipment Mounting Link

Darren Williams Orcid Logo, Javad Taghipour, Hamed Haddad Khodaparast Orcid Logo, Shakir Jiffri Orcid Logo

Vibration, Volume: 4, Issue: 3, Pages: 679 - 699

Swansea University Authors: Javad Taghipour, Hamed Haddad Khodaparast Orcid Logo, Shakir Jiffri Orcid Logo

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Abstract

The linear control of a nonlinear response is investigated in this paper, and a nonlinear model of the system is developed and validated. The design of the control system has been constrained based on a suggested application, wherein mass and expense are parameters to be kept to a minimum. Through t...

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Published in: Vibration
ISSN: 2571-631X
Published: MDPI AG 2021
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa70418
Abstract: The linear control of a nonlinear response is investigated in this paper, and a nonlinear model of the system is developed and validated. The design of the control system has been constrained based on a suggested application, wherein mass and expense are parameters to be kept to a minimum. Through these restrictions, the array of potential applications for the control system is widened. The structure is envisioned as a robot manipulator link, and the control system utilises piezoelectric elements as both sensors and actuators. A nonlinear response is induced in the structure, and the control system is employed to attenuate these vibrations which would be considered a nuisance in practical applications. The nonlinear model is developed based on Euler–Bernoulli beam theory, where unknown parameters are obtained through optimisation based on a comparison with experimentally obtained data. This updated nonlinear model is then compared with the experimental results as a method of empirical validation. This research offers both a solution to unwanted nonlinear vibrations in a system, where weight and cost are driving design factors, and a method to model the response of a flexible link under conditions which yield a nonlinear response.
Keywords: active vibration control; geometric nonlinearity; nonlinear vibration test
College: Faculty of Science and Engineering
Funders: This research was funded by the Engineering and Physical Sciences Research Council (EPSRC) Doctoral Training Partnership (DTP).
Issue: 3
Start Page: 679
End Page: 699