Nonlinear Dynamical Analysis on Four Semi-Active Dynamic Vibration Absorbers with Time Delay
In this paper four semi-active dynamic vibration absorbers (DVAs) are analytically studied, where the time delay induced by measurement and execution in control procedure is included in the system. The first-order approximate analytical solutions of the four semi-active DVAs are established by the a...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-130774 |
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| _version_ | 1832559059356614656 |
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| author | Yongjun Shen Mehdi Ahmadian |
| author_facet | Yongjun Shen Mehdi Ahmadian |
| author_sort | Yongjun Shen |
| collection | DOAJ |
| description | In this paper four semi-active dynamic vibration absorbers (DVAs) are analytically studied, where the time delay induced by measurement and execution in control procedure is included in the system. The first-order approximate analytical solutions of the four semi-active DVAs are established by the averaging method, based on the illustrated phase difference of the motion parameters. The comparisons between the analytical and the numerical solutions are carried out, which verify the correctness and satisfactory precision of the approximate analytical solutions. Then the effects of the time delay on the dynamical responses are analyzed, and it is found that the stability conditions for the steady-state responses of the primary systems are all periodic functions of time delay, with the same period as the excitation one. At last the effects of time delay on control performance are discussed. |
| format | Article |
| id | doaj-art-2033689bf35b4acdb4c09c84a44d872e |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-2033689bf35b4acdb4c09c84a44d872e2025-02-03T01:30:53ZengWileyShock and Vibration1070-96221875-92032013-01-0120464966310.3233/SAV-130774Nonlinear Dynamical Analysis on Four Semi-Active Dynamic Vibration Absorbers with Time DelayYongjun Shen0Mehdi Ahmadian1Department of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang, Hebei, ChinaCenter for Vehicle Systems and Safety, Department of Mechanical Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA, USAIn this paper four semi-active dynamic vibration absorbers (DVAs) are analytically studied, where the time delay induced by measurement and execution in control procedure is included in the system. The first-order approximate analytical solutions of the four semi-active DVAs are established by the averaging method, based on the illustrated phase difference of the motion parameters. The comparisons between the analytical and the numerical solutions are carried out, which verify the correctness and satisfactory precision of the approximate analytical solutions. Then the effects of the time delay on the dynamical responses are analyzed, and it is found that the stability conditions for the steady-state responses of the primary systems are all periodic functions of time delay, with the same period as the excitation one. At last the effects of time delay on control performance are discussed.http://dx.doi.org/10.3233/SAV-130774 |
| spellingShingle | Yongjun Shen Mehdi Ahmadian Nonlinear Dynamical Analysis on Four Semi-Active Dynamic Vibration Absorbers with Time Delay Shock and Vibration |
| title | Nonlinear Dynamical Analysis on Four Semi-Active Dynamic Vibration Absorbers with Time Delay |
| title_full | Nonlinear Dynamical Analysis on Four Semi-Active Dynamic Vibration Absorbers with Time Delay |
| title_fullStr | Nonlinear Dynamical Analysis on Four Semi-Active Dynamic Vibration Absorbers with Time Delay |
| title_full_unstemmed | Nonlinear Dynamical Analysis on Four Semi-Active Dynamic Vibration Absorbers with Time Delay |
| title_short | Nonlinear Dynamical Analysis on Four Semi-Active Dynamic Vibration Absorbers with Time Delay |
| title_sort | nonlinear dynamical analysis on four semi active dynamic vibration absorbers with time delay |
| url | http://dx.doi.org/10.3233/SAV-130774 |
| work_keys_str_mv | AT yongjunshen nonlineardynamicalanalysisonfoursemiactivedynamicvibrationabsorberswithtimedelay AT mehdiahmadian nonlineardynamicalanalysisonfoursemiactivedynamicvibrationabsorberswithtimedelay |