Linear Control of a Nonlinear Equipment Mounting Link
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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-08-01
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| Series: | Vibration |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2571-631X/4/3/38 |
| _version_ | 1797516987526545408 |
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| author | Darren Williams Javad Tagihpour Hamed Haddad Khodaparast Shakir Jiffri |
| author_facet | Darren Williams Javad Tagihpour Hamed Haddad Khodaparast Shakir Jiffri |
| author_sort | Darren Williams |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T07:08:34Z |
| format | Article |
| id | doaj.art-4edea973b2484e669b7dc841305f4aa8 |
| institution | Directory Open Access Journal |
| issn | 2571-631X |
| language | English |
| last_indexed | 2024-03-10T07:08:34Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Vibration |
| spelling | doaj.art-4edea973b2484e669b7dc841305f4aa82023-11-22T15:36:12ZengMDPI AGVibration2571-631X2021-08-014367969910.3390/vibration4030038Linear Control of a Nonlinear Equipment Mounting LinkDarren Williams0Javad Tagihpour1Hamed Haddad Khodaparast2Shakir Jiffri3School of Engineering, University of South Wales, Pontypridd, Wales CF37 1DL, UKFaculty of Science and Engineering, Bay Campus, Swansea University, Swansea SA1 8EN, UKFaculty of Science and Engineering, Bay Campus, Swansea University, Swansea SA1 8EN, UKFaculty of Science and Engineering, Bay Campus, Swansea University, Swansea SA1 8EN, UKThe 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.https://www.mdpi.com/2571-631X/4/3/38active vibration controlgeometric nonlinearitynonlinear vibration test |
| spellingShingle | Darren Williams Javad Tagihpour Hamed Haddad Khodaparast Shakir Jiffri Linear Control of a Nonlinear Equipment Mounting Link Vibration active vibration control geometric nonlinearity nonlinear vibration test |
| title | Linear Control of a Nonlinear Equipment Mounting Link |
| title_full | Linear Control of a Nonlinear Equipment Mounting Link |
| title_fullStr | Linear Control of a Nonlinear Equipment Mounting Link |
| title_full_unstemmed | Linear Control of a Nonlinear Equipment Mounting Link |
| title_short | Linear Control of a Nonlinear Equipment Mounting Link |
| title_sort | linear control of a nonlinear equipment mounting link |
| topic | active vibration control geometric nonlinearity nonlinear vibration test |
| url | https://www.mdpi.com/2571-631X/4/3/38 |
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