A New Simultaneous Identification of the Harmonic Excitations and Nonlinear Damping of Forced Damped Nonlinear Oscillations: A Parametric Approach
This paper presents a novel, general method that is aimed at identifying both the harmonic excitations and nonlinear damping of forced nonlinear oscillation systems. An inverse formalism is developed for the identification method, which is shown to be well posed. That is, the inverse formalism has a...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/754576 |
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| _version_ | 1832565800086536192 |
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| author | T. S. Jang |
| author_facet | T. S. Jang |
| author_sort | T. S. Jang |
| collection | DOAJ |
| description | This paper presents a novel, general method that is aimed at identifying both the harmonic excitations and nonlinear damping of forced nonlinear oscillation systems. An inverse formalism is developed for the identification method, which is shown to be well posed. That is, the inverse formalism has a unique solution and it depends continuously on the data. The unique solution is derived in the closed form. In addition to the mathematical analysis, a numerical example involving a highly nonlinear system is examined for demonstrating the workability of the proposed method for simultaneously identifying both the two aforementioned excitations and nonlinear damping. |
| format | Article |
| id | doaj-art-9091548fa52a4d0988770f7ae6163f17 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-9091548fa52a4d0988770f7ae6163f172025-02-03T01:06:41ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/754576754576A New Simultaneous Identification of the Harmonic Excitations and Nonlinear Damping of Forced Damped Nonlinear Oscillations: A Parametric ApproachT. S. Jang0Department of Naval Architecture and Ocean Engineering, Pusan National University, Busan 609-735, Republic of KoreaThis paper presents a novel, general method that is aimed at identifying both the harmonic excitations and nonlinear damping of forced nonlinear oscillation systems. An inverse formalism is developed for the identification method, which is shown to be well posed. That is, the inverse formalism has a unique solution and it depends continuously on the data. The unique solution is derived in the closed form. In addition to the mathematical analysis, a numerical example involving a highly nonlinear system is examined for demonstrating the workability of the proposed method for simultaneously identifying both the two aforementioned excitations and nonlinear damping.http://dx.doi.org/10.1155/2013/754576 |
| spellingShingle | T. S. Jang A New Simultaneous Identification of the Harmonic Excitations and Nonlinear Damping of Forced Damped Nonlinear Oscillations: A Parametric Approach Journal of Applied Mathematics |
| title | A New Simultaneous Identification of the Harmonic Excitations and Nonlinear Damping of Forced Damped Nonlinear Oscillations: A Parametric Approach |
| title_full | A New Simultaneous Identification of the Harmonic Excitations and Nonlinear Damping of Forced Damped Nonlinear Oscillations: A Parametric Approach |
| title_fullStr | A New Simultaneous Identification of the Harmonic Excitations and Nonlinear Damping of Forced Damped Nonlinear Oscillations: A Parametric Approach |
| title_full_unstemmed | A New Simultaneous Identification of the Harmonic Excitations and Nonlinear Damping of Forced Damped Nonlinear Oscillations: A Parametric Approach |
| title_short | A New Simultaneous Identification of the Harmonic Excitations and Nonlinear Damping of Forced Damped Nonlinear Oscillations: A Parametric Approach |
| title_sort | new simultaneous identification of the harmonic excitations and nonlinear damping of forced damped nonlinear oscillations a parametric approach |
| url | http://dx.doi.org/10.1155/2013/754576 |
| work_keys_str_mv | AT tsjang anewsimultaneousidentificationoftheharmonicexcitationsandnonlineardampingofforceddampednonlinearoscillationsaparametricapproach AT tsjang newsimultaneousidentificationoftheharmonicexcitationsandnonlineardampingofforceddampednonlinearoscillationsaparametricapproach |