Nonlinear Vibration of Oscillation Systems using Frequency-Amplitude Formulation
In this paper we study the periodic solutions of free vibration of mechanical systems with third and fifth-order nonlinearity for two examples using He's Frequency-Amplitude Formulation (HFAF).The effectiveness and convenience of the method is illustrated in these examples. It will be shown tha...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-2010-0633 |
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| _version_ | 1832558157718618112 |
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| author | A. Fereidoon M. Ghadimi A. Barari H.D. Kaliji G. Domairry |
| author_facet | A. Fereidoon M. Ghadimi A. Barari H.D. Kaliji G. Domairry |
| author_sort | A. Fereidoon |
| collection | DOAJ |
| description | In this paper we study the periodic solutions of free vibration of mechanical systems with third and fifth-order nonlinearity for two examples using He's Frequency-Amplitude Formulation (HFAF).The effectiveness and convenience of the method is illustrated in these examples. It will be shown that the solutions obtained with current method have a fabulous conformity with those achieved from time marching solution. HFAF is easy with powerful concepts and the high accuracy, so it can be found widely applicable in vibrations, especially strong nonlinearity oscillatory problems. |
| format | Article |
| id | doaj-art-2057e3dbb8724ad989e3c00d542b50d2 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-2057e3dbb8724ad989e3c00d542b50d22025-02-03T01:32:57ZengWileyShock and Vibration1070-96221875-92032012-01-0119332333210.3233/SAV-2010-0633Nonlinear Vibration of Oscillation Systems using Frequency-Amplitude FormulationA. Fereidoon0M. Ghadimi1A. Barari2H.D. Kaliji3G. Domairry4Department of Mechanical Engineering, Faculty of Engineering, Semnan University, Semnan, IranDepartment of Mechanical Engineering, Babol University of Technology, Babol, IranDepartment of Civil Engineering, Aalborg University, Sohngårdsholmsvej 57, 9000 Aalborg, Aalborg, DenmarkDepartment of Mechanical Engineering, Islamic Azad University, Semnan Branch, Semnan, IranDepartment of Mechanical Engineering, Babol University of Technology, Babol, IranIn this paper we study the periodic solutions of free vibration of mechanical systems with third and fifth-order nonlinearity for two examples using He's Frequency-Amplitude Formulation (HFAF).The effectiveness and convenience of the method is illustrated in these examples. It will be shown that the solutions obtained with current method have a fabulous conformity with those achieved from time marching solution. HFAF is easy with powerful concepts and the high accuracy, so it can be found widely applicable in vibrations, especially strong nonlinearity oscillatory problems.http://dx.doi.org/10.3233/SAV-2010-0633 |
| spellingShingle | A. Fereidoon M. Ghadimi A. Barari H.D. Kaliji G. Domairry Nonlinear Vibration of Oscillation Systems using Frequency-Amplitude Formulation Shock and Vibration |
| title | Nonlinear Vibration of Oscillation Systems using Frequency-Amplitude Formulation |
| title_full | Nonlinear Vibration of Oscillation Systems using Frequency-Amplitude Formulation |
| title_fullStr | Nonlinear Vibration of Oscillation Systems using Frequency-Amplitude Formulation |
| title_full_unstemmed | Nonlinear Vibration of Oscillation Systems using Frequency-Amplitude Formulation |
| title_short | Nonlinear Vibration of Oscillation Systems using Frequency-Amplitude Formulation |
| title_sort | nonlinear vibration of oscillation systems using frequency amplitude formulation |
| url | http://dx.doi.org/10.3233/SAV-2010-0633 |
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