Vibration Analysis of a Piecewise-Smooth System with Negative Stiffness under Delayed Feedback Control
The principal resonance of a delayed piecewise-smooth (DPWS) system with negative stiffness under narrow-band random excitation is investigated in aspects of multiscale analysis, design methodology of the controller, and response properties. The amplitude-frequency response and steady-state moments...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
|
| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2017/3502475 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553590956228608 |
|---|---|
| author | Dongmei Huang Wei Li Guidong Yang Meijuan He Hong Dang |
| author_facet | Dongmei Huang Wei Li Guidong Yang Meijuan He Hong Dang |
| author_sort | Dongmei Huang |
| collection | DOAJ |
| description | The principal resonance of a delayed piecewise-smooth (DPWS) system with negative stiffness under narrow-band random excitation is investigated in aspects of multiscale analysis, design methodology of the controller, and response properties. The amplitude-frequency response and steady-state moments together with the corresponding stability conditions of the controlled stochastic system are derived, in which the degradation case is also under consideration. Then, from the perspective of the equivalent damping, the comparisons of the response characteristics of the controlled system to the uncontrolled system, such as the phenomenon of frequency island, are fulfilled. Furthermore, sensitivity of the system response to feedback gain and time delay is studied and interesting dynamic properties are found. Meanwhile, the classification of the steady-state solution is also discussed. To control the maximum amplitude, the feedback parameters are determined by the frequency response together with stability boundaries which must be utilized to exclude the combinations of the unstable parameters. For the case with small noise intensity, mean-square responses present the similar characteristics to what is discussed in the deterministic case. |
| format | Article |
| id | doaj-art-1e0e2a2db6ec4a4c83232c9ec1a732f5 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-1e0e2a2db6ec4a4c83232c9ec1a732f52025-02-03T05:53:37ZengWileyShock and Vibration1070-96221875-92032017-01-01201710.1155/2017/35024753502475Vibration Analysis of a Piecewise-Smooth System with Negative Stiffness under Delayed Feedback ControlDongmei Huang0Wei Li1Guidong Yang2Meijuan He3Hong Dang4School of Mathematics and Statistics, Xidian University, Xi’an, Shaanxi 710071, ChinaSchool of Mathematics and Statistics, Xidian University, Xi’an, Shaanxi 710071, ChinaSchool of Mathematics and Statistics, Xidian University, Xi’an, Shaanxi 710071, ChinaSchool of Mathematics and Statistics, Xidian University, Xi’an, Shaanxi 710071, ChinaSchool of Mathematics, Changzhi University, Changzhi, Shanxi 046011, ChinaThe principal resonance of a delayed piecewise-smooth (DPWS) system with negative stiffness under narrow-band random excitation is investigated in aspects of multiscale analysis, design methodology of the controller, and response properties. The amplitude-frequency response and steady-state moments together with the corresponding stability conditions of the controlled stochastic system are derived, in which the degradation case is also under consideration. Then, from the perspective of the equivalent damping, the comparisons of the response characteristics of the controlled system to the uncontrolled system, such as the phenomenon of frequency island, are fulfilled. Furthermore, sensitivity of the system response to feedback gain and time delay is studied and interesting dynamic properties are found. Meanwhile, the classification of the steady-state solution is also discussed. To control the maximum amplitude, the feedback parameters are determined by the frequency response together with stability boundaries which must be utilized to exclude the combinations of the unstable parameters. For the case with small noise intensity, mean-square responses present the similar characteristics to what is discussed in the deterministic case.http://dx.doi.org/10.1155/2017/3502475 |
| spellingShingle | Dongmei Huang Wei Li Guidong Yang Meijuan He Hong Dang Vibration Analysis of a Piecewise-Smooth System with Negative Stiffness under Delayed Feedback Control Shock and Vibration |
| title | Vibration Analysis of a Piecewise-Smooth System with Negative Stiffness under Delayed Feedback Control |
| title_full | Vibration Analysis of a Piecewise-Smooth System with Negative Stiffness under Delayed Feedback Control |
| title_fullStr | Vibration Analysis of a Piecewise-Smooth System with Negative Stiffness under Delayed Feedback Control |
| title_full_unstemmed | Vibration Analysis of a Piecewise-Smooth System with Negative Stiffness under Delayed Feedback Control |
| title_short | Vibration Analysis of a Piecewise-Smooth System with Negative Stiffness under Delayed Feedback Control |
| title_sort | vibration analysis of a piecewise smooth system with negative stiffness under delayed feedback control |
| url | http://dx.doi.org/10.1155/2017/3502475 |
| work_keys_str_mv | AT dongmeihuang vibrationanalysisofapiecewisesmoothsystemwithnegativestiffnessunderdelayedfeedbackcontrol AT weili vibrationanalysisofapiecewisesmoothsystemwithnegativestiffnessunderdelayedfeedbackcontrol AT guidongyang vibrationanalysisofapiecewisesmoothsystemwithnegativestiffnessunderdelayedfeedbackcontrol AT meijuanhe vibrationanalysisofapiecewisesmoothsystemwithnegativestiffnessunderdelayedfeedbackcontrol AT hongdang vibrationanalysisofapiecewisesmoothsystemwithnegativestiffnessunderdelayedfeedbackcontrol |