Analysis of Vibration Control of Nonlinear Beam Using a Time-Delayed PPF Controller
This paper presents a study on the performance of a positive position feedback (PPF) controller to suppress the vibration of a horizontal beam under vertical excitation. Time delays in the control loop are taken into consideration to study their effects on the controller performance and the stable r...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2020/8882618 |
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| author | Yueli Chen Juhong Ge |
| author_facet | Yueli Chen Juhong Ge |
| author_sort | Yueli Chen |
| collection | DOAJ |
| description | This paper presents a study on the performance of a positive position feedback (PPF) controller to suppress the vibration of a horizontal beam under vertical excitation. Time delays in the control loop are taken into consideration to study their effects on the controller performance and the stable region. The integral iterative method is conducted to obtain a second-order approximate solution and the corresponding amplitude equations for the considered system. The stability of the steady-state solutions is ascertained using a combination of Floquet theory and Hill’s determinant. The maximum limits of time delays at which the system remains stable have been determined for different values of control parameters. And the effects of various control parameters on the existence of multiple-solution region are investigated. The analysis illustrates that the appearance of time delay and the elimination of controller damping coefficient are the two main factors to enhance the nonlinear characteristics of the controlled system. The points at which the steady-state amplitude of the main system reaches its minimum are studied analytically. The analyses show that the analytical results are in excellent agreement with the numerical simulations. |
| format | Article |
| id | doaj-art-aa3c924013a346db9ff57a92ff0d445d |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-aa3c924013a346db9ff57a92ff0d445d2025-02-03T05:53:52ZengWileyShock and Vibration1070-96221875-92032020-01-01202010.1155/2020/88826188882618Analysis of Vibration Control of Nonlinear Beam Using a Time-Delayed PPF ControllerYueli Chen0Juhong Ge1Henan Academy of Big Data, Zhengzhou University, Zhengzhou 450001, ChinaSchool of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450046, ChinaThis paper presents a study on the performance of a positive position feedback (PPF) controller to suppress the vibration of a horizontal beam under vertical excitation. Time delays in the control loop are taken into consideration to study their effects on the controller performance and the stable region. The integral iterative method is conducted to obtain a second-order approximate solution and the corresponding amplitude equations for the considered system. The stability of the steady-state solutions is ascertained using a combination of Floquet theory and Hill’s determinant. The maximum limits of time delays at which the system remains stable have been determined for different values of control parameters. And the effects of various control parameters on the existence of multiple-solution region are investigated. The analysis illustrates that the appearance of time delay and the elimination of controller damping coefficient are the two main factors to enhance the nonlinear characteristics of the controlled system. The points at which the steady-state amplitude of the main system reaches its minimum are studied analytically. The analyses show that the analytical results are in excellent agreement with the numerical simulations.http://dx.doi.org/10.1155/2020/8882618 |
| spellingShingle | Yueli Chen Juhong Ge Analysis of Vibration Control of Nonlinear Beam Using a Time-Delayed PPF Controller Shock and Vibration |
| title | Analysis of Vibration Control of Nonlinear Beam Using a Time-Delayed PPF Controller |
| title_full | Analysis of Vibration Control of Nonlinear Beam Using a Time-Delayed PPF Controller |
| title_fullStr | Analysis of Vibration Control of Nonlinear Beam Using a Time-Delayed PPF Controller |
| title_full_unstemmed | Analysis of Vibration Control of Nonlinear Beam Using a Time-Delayed PPF Controller |
| title_short | Analysis of Vibration Control of Nonlinear Beam Using a Time-Delayed PPF Controller |
| title_sort | analysis of vibration control of nonlinear beam using a time delayed ppf controller |
| url | http://dx.doi.org/10.1155/2020/8882618 |
| work_keys_str_mv | AT yuelichen analysisofvibrationcontrolofnonlinearbeamusingatimedelayedppfcontroller AT juhongge analysisofvibrationcontrolofnonlinearbeamusingatimedelayedppfcontroller |