Different controllers for suppressing oscillations of a hybrid oscillator via non-perturbative analysis
Abstract To arrive at an equivalent linear differential equation, the non-perturbative approach (NPA) is established. The corresponding linear equation is employed for performing the structural analysis. A numerical computation demonstrates a high consistency with the precise frequency. The correlat...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2024-01-01
|
| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-023-50750-9 |
| _version_ | 1797363404219875328 |
|---|---|
| author | Galal M. Moatimid A. T. El-Sayed Hala F. Salman |
| author_facet | Galal M. Moatimid A. T. El-Sayed Hala F. Salman |
| author_sort | Galal M. Moatimid |
| collection | DOAJ |
| description | Abstract To arrive at an equivalent linear differential equation, the non-perturbative approach (NPA) is established. The corresponding linear equation is employed for performing the structural analysis. A numerical computation demonstrates a high consistency with the precise frequency. The correlation with the numerical solution explains the reasonableness of the obtained solutions. For additional nonlinear kinds of oscillation, the methodology gives an exact simulation. The stable construction of the prototype is shown in a series of diagrams. Positive position feedback (PPF), integral resonant control (IRC), nonlinear integral positive position feedback (NIPPF), and negative derivative feedback (NDF) are proposed to get rid of the damaging vibration in the system. It is found that the NDF control is more efficient than other controllers for vibration suppression. The theoretical methodology is applied by using the averaging method for getting a perturbed solution. The stability and influence of various parameters of the structure are established at main and 1:1 internal resonance, which is presented as one of the worst resonance cases. Association concerning mathematical solution and computational simulation is achieved. |
| first_indexed | 2024-03-08T16:19:55Z |
| format | Article |
| id | doaj.art-e5049b00baa74bad9b8fd12eaf1d0cf9 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-03-08T16:19:55Z |
| publishDate | 2024-01-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-e5049b00baa74bad9b8fd12eaf1d0cf92024-01-07T12:26:02ZengNature PortfolioScientific Reports2045-23222024-01-0114112010.1038/s41598-023-50750-9Different controllers for suppressing oscillations of a hybrid oscillator via non-perturbative analysisGalal M. Moatimid0A. T. El-Sayed1Hala F. Salman2Department of Mathematics, Faculty of Education, Ain Shams UniversityDepartment of Basic Science, Modern Academy for Engineering and TechnologyDepartment of Basic Sciences, Faculty of Computers and Artificial Intelligence, Cairo UniversityAbstract To arrive at an equivalent linear differential equation, the non-perturbative approach (NPA) is established. The corresponding linear equation is employed for performing the structural analysis. A numerical computation demonstrates a high consistency with the precise frequency. The correlation with the numerical solution explains the reasonableness of the obtained solutions. For additional nonlinear kinds of oscillation, the methodology gives an exact simulation. The stable construction of the prototype is shown in a series of diagrams. Positive position feedback (PPF), integral resonant control (IRC), nonlinear integral positive position feedback (NIPPF), and negative derivative feedback (NDF) are proposed to get rid of the damaging vibration in the system. It is found that the NDF control is more efficient than other controllers for vibration suppression. The theoretical methodology is applied by using the averaging method for getting a perturbed solution. The stability and influence of various parameters of the structure are established at main and 1:1 internal resonance, which is presented as one of the worst resonance cases. Association concerning mathematical solution and computational simulation is achieved.https://doi.org/10.1038/s41598-023-50750-9 |
| spellingShingle | Galal M. Moatimid A. T. El-Sayed Hala F. Salman Different controllers for suppressing oscillations of a hybrid oscillator via non-perturbative analysis Scientific Reports |
| title | Different controllers for suppressing oscillations of a hybrid oscillator via non-perturbative analysis |
| title_full | Different controllers for suppressing oscillations of a hybrid oscillator via non-perturbative analysis |
| title_fullStr | Different controllers for suppressing oscillations of a hybrid oscillator via non-perturbative analysis |
| title_full_unstemmed | Different controllers for suppressing oscillations of a hybrid oscillator via non-perturbative analysis |
| title_short | Different controllers for suppressing oscillations of a hybrid oscillator via non-perturbative analysis |
| title_sort | different controllers for suppressing oscillations of a hybrid oscillator via non perturbative analysis |
| url | https://doi.org/10.1038/s41598-023-50750-9 |
| work_keys_str_mv | AT galalmmoatimid differentcontrollersforsuppressingoscillationsofahybridoscillatorvianonperturbativeanalysis AT atelsayed differentcontrollersforsuppressingoscillationsofahybridoscillatorvianonperturbativeanalysis AT halafsalman differentcontrollersforsuppressingoscillationsofahybridoscillatorvianonperturbativeanalysis |