A New Method for Detecting the Time-Varying Nonlinear Damping in Nonlinear Oscillation Systems: Nonparametric Identification
This paper presents an original method that can be used for identifying time-varying nonlinear damping characteristics of a nonlinear oscillation system. The method developed involves the nonparametric identification, in which only the system responses, namely, displacement and velocity need to be k...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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Hindawi Publishing Corporation
2012
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| Online Access: | http://hdl.handle.net/1721.1/71789 |
| _version_ | 1811091687290699776 |
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| author | Jang, T. S. Baek, Hyoung Su Kim, M. C. Moon, B. Y. |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Jang, T. S. Baek, Hyoung Su Kim, M. C. Moon, B. Y. |
| author_sort | Jang, T. S. |
| collection | MIT |
| description | This paper presents an original method that can be used for identifying time-varying nonlinear damping characteristics of a nonlinear oscillation system. The method developed involves the nonparametric identification, in which only the system responses, namely, displacement and velocity need to be known for the identification. However, the method is concerned with a Volterra-type integral equation of the first kind, which leads to an instability of numerical solutions. That is, the solutions identified lack stability properties. In order to overcome the difficulty, a stabilization technique is applied to the identification process. A numerical example comprising a highly nonlinear system is examined to demonstrate the workability of the proposed method for the time-varying damping identification. |
| first_indexed | 2024-09-23T15:06:21Z |
| format | Article |
| id | mit-1721.1/71789 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:06:21Z |
| publishDate | 2012 |
| publisher | Hindawi Publishing Corporation |
| record_format | dspace |
| spelling | mit-1721.1/717892022-09-29T12:42:56Z A New Method for Detecting the Time-Varying Nonlinear Damping in Nonlinear Oscillation Systems: Nonparametric Identification Jang, T. S. Baek, Hyoung Su Kim, M. C. Moon, B. Y. Massachusetts Institute of Technology. Department of Mathematics Baek, Hyoung Su Baek, Hyoung Su This paper presents an original method that can be used for identifying time-varying nonlinear damping characteristics of a nonlinear oscillation system. The method developed involves the nonparametric identification, in which only the system responses, namely, displacement and velocity need to be known for the identification. However, the method is concerned with a Volterra-type integral equation of the first kind, which leads to an instability of numerical solutions. That is, the solutions identified lack stability properties. In order to overcome the difficulty, a stabilization technique is applied to the identification process. A numerical example comprising a highly nonlinear system is examined to demonstrate the workability of the proposed method for the time-varying damping identification. Korea (South). Ministry of Education, Science and Technology (MEST) ( Grant no.: 2011-0010090 ) Korea (South). Ministry of Education, Science and Technology (MEST) (Grant no.: K20901000005-09E0100-00510) 2012-07-24T19:28:42Z 2012-07-24T19:28:42Z 2011-01 2011-07 Article http://purl.org/eprint/type/JournalArticle 1024-123X 1563-5147 http://hdl.handle.net/1721.1/71789 Jang, T. S. et al. “A New Method for Detecting the Time-Varying Nonlinear Damping in Nonlinear Oscillation Systems: Nonparametric Identification.” Mathematical Problems in Engineering 2011 (2011): 1–12. en_US http://dx.doi.org/10.1155/2011/749309 Mathematical Problems in Engineering Creative Commons Attribution 3.0 http://creativecommons.org/licenses/by/3.0/ application/pdf Hindawi Publishing Corporation Hindawi |
| spellingShingle | Jang, T. S. Baek, Hyoung Su Kim, M. C. Moon, B. Y. A New Method for Detecting the Time-Varying Nonlinear Damping in Nonlinear Oscillation Systems: Nonparametric Identification |
| title | A New Method for Detecting the Time-Varying Nonlinear Damping in Nonlinear Oscillation Systems: Nonparametric Identification |
| title_full | A New Method for Detecting the Time-Varying Nonlinear Damping in Nonlinear Oscillation Systems: Nonparametric Identification |
| title_fullStr | A New Method for Detecting the Time-Varying Nonlinear Damping in Nonlinear Oscillation Systems: Nonparametric Identification |
| title_full_unstemmed | A New Method for Detecting the Time-Varying Nonlinear Damping in Nonlinear Oscillation Systems: Nonparametric Identification |
| title_short | A New Method for Detecting the Time-Varying Nonlinear Damping in Nonlinear Oscillation Systems: Nonparametric Identification |
| title_sort | new method for detecting the time varying nonlinear damping in nonlinear oscillation systems nonparametric identification |
| url | http://hdl.handle.net/1721.1/71789 |
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