Cubic Velocity Feedback Control of High-Amplitude Vibration of a Nonlinear Plant to a Primary Resonance Excitation

Cubic Velocity Feedback Control of High-Amplitude Vibration of a Nonlinear Plant to a Primary Resonance Excitation

High-amplitude response suppression of the primary resonance of a nonlinear plant under cubic velocity feedback control is investigated. By means of the multiple scales method, two equations on the amplitude and phase of the response of the nonlinear system are obtained and the force-response and fr...

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Main Authors: Li Jun, Shen Rongying, Hua Hongxing
Format: Article
Language:English
Published: Hindawi Limited 2007-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2007/235782
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spelling doaj-c5aaaf245dcd465d92e74c61472b4c962020-11-24T22:08:11ZengHindawi LimitedShock and Vibration1070-96221875-92032007-01-0114111410.1155/2007/235782Cubic Velocity Feedback Control of High-Amplitude Vibration of a Nonlinear Plant to a Primary Resonance ExcitationLi Jun0Shen Rongying1Hua Hongxing2Vibration, Shock & Noise Institute, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240, ChinaVibration, Shock & Noise Institute, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240, ChinaVibration, Shock & Noise Institute, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240, ChinaHigh-amplitude response suppression of the primary resonance of a nonlinear plant under cubic velocity feedback control is investigated. By means of the multiple scales method, two equations on the amplitude and phase of the response of the nonlinear system are obtained and the force-response and frequency-response curves are shown. The stability analyses for the open- and closed-loop responses of the system are carried out and the performance of the control strategy is investigated. The instantaneous power requirement of the control law is also examined. It can be demonstrated that appropriate choice for the feedback gain can greatly reduce the response amplitude of the primary resonance and completely eliminate the multiple responses. Finally the perturbation solutions are verified with numerical simulations.http://dx.doi.org/10.1155/2007/235782
collection DOAJ
language English
format Article
sources DOAJ
author Li Jun
Shen Rongying
Hua Hongxing
spellingShingle Li Jun
Shen Rongying
Hua Hongxing
Cubic Velocity Feedback Control of High-Amplitude Vibration of a Nonlinear Plant to a Primary Resonance Excitation
Shock and Vibration
author_facet Li Jun
Shen Rongying
Hua Hongxing
author_sort Li Jun
title Cubic Velocity Feedback Control of High-Amplitude Vibration of a Nonlinear Plant to a Primary Resonance Excitation
title_short Cubic Velocity Feedback Control of High-Amplitude Vibration of a Nonlinear Plant to a Primary Resonance Excitation
title_full Cubic Velocity Feedback Control of High-Amplitude Vibration of a Nonlinear Plant to a Primary Resonance Excitation
title_fullStr Cubic Velocity Feedback Control of High-Amplitude Vibration of a Nonlinear Plant to a Primary Resonance Excitation
title_full_unstemmed Cubic Velocity Feedback Control of High-Amplitude Vibration of a Nonlinear Plant to a Primary Resonance Excitation
title_sort cubic velocity feedback control of high-amplitude vibration of a nonlinear plant to a primary resonance excitation
publisher Hindawi Limited
series Shock and Vibration
issn 1070-9622
1875-9203
publishDate 2007-01-01
description High-amplitude response suppression of the primary resonance of a nonlinear plant under cubic velocity feedback control is investigated. By means of the multiple scales method, two equations on the amplitude and phase of the response of the nonlinear system are obtained and the force-response and frequency-response curves are shown. The stability analyses for the open- and closed-loop responses of the system are carried out and the performance of the control strategy is investigated. The instantaneous power requirement of the control law is also examined. It can be demonstrated that appropriate choice for the feedback gain can greatly reduce the response amplitude of the primary resonance and completely eliminate the multiple responses. Finally the perturbation solutions are verified with numerical simulations.
url http://dx.doi.org/10.1155/2007/235782
work_keys_str_mv AT lijun cubicvelocityfeedbackcontrolofhighamplitudevibrationofanonlinearplanttoaprimaryresonanceexcitation
AT shenrongying cubicvelocityfeedbackcontrolofhighamplitudevibrationofanonlinearplanttoaprimaryresonanceexcitation
AT huahongxing cubicvelocityfeedbackcontrolofhighamplitudevibrationofanonlinearplanttoaprimaryresonanceexcitation
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