Rub-Impact Force Induces Periodic, Quasiperiodic, and Chaotic Motions of a Controlled Asymmetric Rotor System
This article aims to explore the oscillatory characteristics of a controlled asymmetric rotor system when subjected to rub and impact forces between the rotor and stator. Four electromagnetic poles are used to control the whirling motion of the rotor system through a linear proportional-derivative c...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2021/1800022 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832549205987557376 |
|---|---|
| author | N. A. Saeed Emad Mahrous Awwad Ali Maarouf Hassan M. H. Farh Fahd A. Alturki Jan Awrejcewicz |
| author_facet | N. A. Saeed Emad Mahrous Awwad Ali Maarouf Hassan M. H. Farh Fahd A. Alturki Jan Awrejcewicz |
| author_sort | N. A. Saeed |
| collection | DOAJ |
| description | This article aims to explore the oscillatory characteristics of a controlled asymmetric rotor system when subjected to rub and impact forces between the rotor and stator. Four electromagnetic poles are used to control the whirling motion of the rotor system through a linear proportional-derivative control law. The equations of motion that govern the whole system dynamics are derived including the rub and impact forces. The derived mathematical model is analyzed in two basic steps. Firstly, the obtained model is treated as a weakly nonlinear system using perturbation analysis to obtain the slow-flow modulating equations when neglecting the rub and impact forces. Depending on the obtained slow-flow equations, different response curves are plotted to explore the system’s periodic vibrations and determine the conditions at which the system can exhibit rub and impact force. Secondly, the whole system model including the rub and impact forces is investigated by using the bifurcation diagrams, Poincare map, frequency spectrums, and temporal oscillations. The obtained results revealed that the applied control law could mitigate the system whirling oscillations and prevent the rub and impact forces if the control gains are tuned properly. However, the system can perform period-n, quasiperiodic, or chaotic motion depending on the shaft spinning speed if the controller fails to eliminate the contact between the rotor and stator. |
| format | Article |
| id | doaj-art-ebee621cc2234c959928b0e9396471dd |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-ebee621cc2234c959928b0e9396471dd2025-02-03T06:12:00ZengWileyShock and Vibration1070-96221875-92032021-01-01202110.1155/2021/18000221800022Rub-Impact Force Induces Periodic, Quasiperiodic, and Chaotic Motions of a Controlled Asymmetric Rotor SystemN. A. Saeed0Emad Mahrous Awwad1Ali Maarouf2Hassan M. H. Farh3Fahd A. Alturki4Jan Awrejcewicz5Department of Physics and Engineering Mathematics, Faculty of Electronic Engineering, Menoufia University, Menouf 32952, EgyptElectrical Engineering Department, College of Engineering, King Saud University, P.O. Box 800, Riyadh 11421, Saudi ArabiaElectrical Engineering Department, College of Engineering, King Saud University, P.O. Box 800, Riyadh 11421, Saudi ArabiaElectrical Engineering Department, College of Engineering, King Saud University, P.O. Box 800, Riyadh 11421, Saudi ArabiaElectrical Engineering Department, College of Engineering, King Saud University, P.O. Box 800, Riyadh 11421, Saudi ArabiaDepartment of Automation, Biomechanics, and Mechatronics, Faculty of Mechanical Engineering, Lodz 90924, Lodz University of Technology, PolandThis article aims to explore the oscillatory characteristics of a controlled asymmetric rotor system when subjected to rub and impact forces between the rotor and stator. Four electromagnetic poles are used to control the whirling motion of the rotor system through a linear proportional-derivative control law. The equations of motion that govern the whole system dynamics are derived including the rub and impact forces. The derived mathematical model is analyzed in two basic steps. Firstly, the obtained model is treated as a weakly nonlinear system using perturbation analysis to obtain the slow-flow modulating equations when neglecting the rub and impact forces. Depending on the obtained slow-flow equations, different response curves are plotted to explore the system’s periodic vibrations and determine the conditions at which the system can exhibit rub and impact force. Secondly, the whole system model including the rub and impact forces is investigated by using the bifurcation diagrams, Poincare map, frequency spectrums, and temporal oscillations. The obtained results revealed that the applied control law could mitigate the system whirling oscillations and prevent the rub and impact forces if the control gains are tuned properly. However, the system can perform period-n, quasiperiodic, or chaotic motion depending on the shaft spinning speed if the controller fails to eliminate the contact between the rotor and stator.http://dx.doi.org/10.1155/2021/1800022 |
| spellingShingle | N. A. Saeed Emad Mahrous Awwad Ali Maarouf Hassan M. H. Farh Fahd A. Alturki Jan Awrejcewicz Rub-Impact Force Induces Periodic, Quasiperiodic, and Chaotic Motions of a Controlled Asymmetric Rotor System Shock and Vibration |
| title | Rub-Impact Force Induces Periodic, Quasiperiodic, and Chaotic Motions of a Controlled Asymmetric Rotor System |
| title_full | Rub-Impact Force Induces Periodic, Quasiperiodic, and Chaotic Motions of a Controlled Asymmetric Rotor System |
| title_fullStr | Rub-Impact Force Induces Periodic, Quasiperiodic, and Chaotic Motions of a Controlled Asymmetric Rotor System |
| title_full_unstemmed | Rub-Impact Force Induces Periodic, Quasiperiodic, and Chaotic Motions of a Controlled Asymmetric Rotor System |
| title_short | Rub-Impact Force Induces Periodic, Quasiperiodic, and Chaotic Motions of a Controlled Asymmetric Rotor System |
| title_sort | rub impact force induces periodic quasiperiodic and chaotic motions of a controlled asymmetric rotor system |
| url | http://dx.doi.org/10.1155/2021/1800022 |
| work_keys_str_mv | AT nasaeed rubimpactforceinducesperiodicquasiperiodicandchaoticmotionsofacontrolledasymmetricrotorsystem AT emadmahrousawwad rubimpactforceinducesperiodicquasiperiodicandchaoticmotionsofacontrolledasymmetricrotorsystem AT alimaarouf rubimpactforceinducesperiodicquasiperiodicandchaoticmotionsofacontrolledasymmetricrotorsystem AT hassanmhfarh rubimpactforceinducesperiodicquasiperiodicandchaoticmotionsofacontrolledasymmetricrotorsystem AT fahdaalturki rubimpactforceinducesperiodicquasiperiodicandchaoticmotionsofacontrolledasymmetricrotorsystem AT janawrejcewicz rubimpactforceinducesperiodicquasiperiodicandchaoticmotionsofacontrolledasymmetricrotorsystem |