Nonlinear vibrations control of a contact-mode AFM model via a time-delayed positive position feedback
In this work, the nonlinear vibrations of a contact-mode atomic force microscopy (AFM) model subjected to multi excitations are controlled via a time-delayed positive position feedback (PPF) controller. A perturbation method is implemented to obtain the approximate nonlinear dynamical behavior of th...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-02-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016820305433 |
| _version_ | 1818671683938025472 |
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| author | Y.S. Hamed K.M. Albogamy M. Sayed |
| author_facet | Y.S. Hamed K.M. Albogamy M. Sayed |
| author_sort | Y.S. Hamed |
| collection | DOAJ |
| description | In this work, the nonlinear vibrations of a contact-mode atomic force microscopy (AFM) model subjected to multi excitations are controlled via a time-delayed positive position feedback (PPF) controller. A perturbation method is implemented to obtain the approximate nonlinear dynamical behavior of the AFM system. Different response curves, before and after control, are included utilizing frequency response equations. At multiple resonance cases (primary, sub-harmonic, and internal), the gain effects on the vibration amplitude and stability behavior of the controlled system are studied. The acquired results revealed that PPF controller is efficient in reducing the studied system oscillations. The efficiency of the controller Ea was about 193, means that the controller reduced the vibration by about 99.5%. For increasing feedback signal gain α2, the stability region in τ1-τ2 plane was shrinking. Finally, verification curves are plotted to depict the degree of closeness between analytical predictions and numerical simulation. |
| first_indexed | 2024-12-17T07:27:54Z |
| format | Article |
| id | doaj.art-aaa917bdcf4d4c86a9799f4eda6b3672 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-12-17T07:27:54Z |
| publishDate | 2021-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-aaa917bdcf4d4c86a9799f4eda6b36722022-12-21T21:58:34ZengElsevierAlexandria Engineering Journal1110-01682021-02-01601963977Nonlinear vibrations control of a contact-mode AFM model via a time-delayed positive position feedbackY.S. Hamed0K.M. Albogamy1M. Sayed2Department of Mathematics and Statistics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia; Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University, Menouf 32952, EgyptDepartment of Mathematics and Statistics, College of Science, Taif University, P. O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University, Menouf 32952, Egypt; Corresponding author.In this work, the nonlinear vibrations of a contact-mode atomic force microscopy (AFM) model subjected to multi excitations are controlled via a time-delayed positive position feedback (PPF) controller. A perturbation method is implemented to obtain the approximate nonlinear dynamical behavior of the AFM system. Different response curves, before and after control, are included utilizing frequency response equations. At multiple resonance cases (primary, sub-harmonic, and internal), the gain effects on the vibration amplitude and stability behavior of the controlled system are studied. The acquired results revealed that PPF controller is efficient in reducing the studied system oscillations. The efficiency of the controller Ea was about 193, means that the controller reduced the vibration by about 99.5%. For increasing feedback signal gain α2, the stability region in τ1-τ2 plane was shrinking. Finally, verification curves are plotted to depict the degree of closeness between analytical predictions and numerical simulation.http://www.sciencedirect.com/science/article/pii/S1110016820305433Time-delayed PPF controllerVibration controlStabilityAFM model |
| spellingShingle | Y.S. Hamed K.M. Albogamy M. Sayed Nonlinear vibrations control of a contact-mode AFM model via a time-delayed positive position feedback Alexandria Engineering Journal Time-delayed PPF controller Vibration control Stability AFM model |
| title | Nonlinear vibrations control of a contact-mode AFM model via a time-delayed positive position feedback |
| title_full | Nonlinear vibrations control of a contact-mode AFM model via a time-delayed positive position feedback |
| title_fullStr | Nonlinear vibrations control of a contact-mode AFM model via a time-delayed positive position feedback |
| title_full_unstemmed | Nonlinear vibrations control of a contact-mode AFM model via a time-delayed positive position feedback |
| title_short | Nonlinear vibrations control of a contact-mode AFM model via a time-delayed positive position feedback |
| title_sort | nonlinear vibrations control of a contact mode afm model via a time delayed positive position feedback |
| topic | Time-delayed PPF controller Vibration control Stability AFM model |
| url | http://www.sciencedirect.com/science/article/pii/S1110016820305433 |
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