Limit Cycle on the Forced Vibrations Oscillator with a Time-Varying Mass
In this paper, a forced vibration caused by drag and lift forces with time-varying mass is studied. The construction of the model is conducted by adding impact force to the previous model. The periodicity of the solution is yet known. Hence, the model is seen as a perturbation problem. Since the unp...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2024/1043710 |
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| author | null Hartono N. Binatari F. Y. Saptaningtyas null Emut |
| author_facet | null Hartono N. Binatari F. Y. Saptaningtyas null Emut |
| author_sort | null Hartono |
| collection | DOAJ |
| description | In this paper, a forced vibration caused by drag and lift forces with time-varying mass is studied. The construction of the model is conducted by adding impact force to the previous model. The periodicity of the solution is yet known. Hence, the model is seen as a perturbation problem. Since the unperturbed problem has a periodic solution, we applied the averaging method to determine the sufficient condition such that the limit cycle exists. |
| format | Article |
| id | doaj-art-03e87a4284f3464ab2dfbcad94b7d02e |
| institution | Kabale University |
| issn | 1687-9651 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-03e87a4284f3464ab2dfbcad94b7d02e2025-02-02T23:02:54ZengWileyInternational Journal of Differential Equations1687-96512024-01-01202410.1155/2024/1043710Limit Cycle on the Forced Vibrations Oscillator with a Time-Varying Massnull Hartono0N. Binatari1F. Y. Saptaningtyas2null Emut3Mathematics Education DepartmentMathematics Education DepartmentMathematics Education DepartmentMathematics Education DepartmentIn this paper, a forced vibration caused by drag and lift forces with time-varying mass is studied. The construction of the model is conducted by adding impact force to the previous model. The periodicity of the solution is yet known. Hence, the model is seen as a perturbation problem. Since the unperturbed problem has a periodic solution, we applied the averaging method to determine the sufficient condition such that the limit cycle exists.http://dx.doi.org/10.1155/2024/1043710 |
| spellingShingle | null Hartono N. Binatari F. Y. Saptaningtyas null Emut Limit Cycle on the Forced Vibrations Oscillator with a Time-Varying Mass International Journal of Differential Equations |
| title | Limit Cycle on the Forced Vibrations Oscillator with a Time-Varying Mass |
| title_full | Limit Cycle on the Forced Vibrations Oscillator with a Time-Varying Mass |
| title_fullStr | Limit Cycle on the Forced Vibrations Oscillator with a Time-Varying Mass |
| title_full_unstemmed | Limit Cycle on the Forced Vibrations Oscillator with a Time-Varying Mass |
| title_short | Limit Cycle on the Forced Vibrations Oscillator with a Time-Varying Mass |
| title_sort | limit cycle on the forced vibrations oscillator with a time varying mass |
| url | http://dx.doi.org/10.1155/2024/1043710 |
| work_keys_str_mv | AT nullhartono limitcycleontheforcedvibrationsoscillatorwithatimevaryingmass AT nbinatari limitcycleontheforcedvibrationsoscillatorwithatimevaryingmass AT fysaptaningtyas limitcycleontheforcedvibrationsoscillatorwithatimevaryingmass AT nullemut limitcycleontheforcedvibrationsoscillatorwithatimevaryingmass |