Visser, Niels (2022) Modeling the Nonlinear Behaviour of Philips Trimmer. Master's Thesis / Essay, Mechanical Engineering.
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Abstract
This study presents a framework to include nonlinearities to a linear model of trimmer dynamics. Nonlinear elements often contribute to the existence of limit cycles in control system. This is undesirable since it intensifies the vibrations that the trimmer already experiences. The framework, to include these nonlinearities, utilises the \textit{describing function method}. This method relies quasi-linearization of the nonlinear component, such that the stability of this system can be studied utilising linear control theory, under strict conditions. Describing function is particular useful for finding limit cycling behaviour. Development and validation of the properties corresponding to the limit cycles are utilised with Matlab simulations, and further validated with experiment. \\ Despite the describing function method insisted that limit cycling behaviour should exist for a certain amount of play/backlash in the trimmer, experimental data did not support this with evidence.\\ A potential explanations is presented, stating that the Coulomb friction between some of the fundamental components of the trimmer alleviates the magnitude of the predicted limit cycle. Other play models are introduced to the system to facilitate for a more generic justification that only stable limit cycles can occur over a fixed range of frequencies. It showed that this range is bounded by the contours of the describing function for the two limiting cases for friction-, and inertia-controlled backla
| Item Type: | Thesis (Master's Thesis / Essay) |
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| Supervisor name: | Scherpen, J.M.A. and Jayawardhana, B. |
| Degree programme: | Mechanical Engineering |
| Thesis type: | Master's Thesis / Essay |
| Language: | English |
| Date Deposited: | 07 Dec 2022 12:57 |
| Last Modified: | 07 Dec 2022 12:57 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/29025 |
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