Research on nonlinear dynamic characteristics of GMA under time delayed feedback control

ObjectiveTo effectively control the nonlinear characteristics of giant magnetostrictive actuators (GMAs), a combined linear and nonlinear time delayed feedback controller was designed to suppress the main resonance bifurcation and chaotic motion of the GMA system.MethodsBased on the multi-scale meth...

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Main Authors: XU Chenyu, LI Hongzhu, ZHOU Yafu
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2025-05-01
Series:Jixie chuandong
Subjects:
Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2025.05.012
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author XU Chenyu
LI Hongzhu
ZHOU Yafu
author_facet XU Chenyu
LI Hongzhu
ZHOU Yafu
author_sort XU Chenyu
collection DOAJ
description ObjectiveTo effectively control the nonlinear characteristics of giant magnetostrictive actuators (GMAs), a combined linear and nonlinear time delayed feedback controller was designed to suppress the main resonance bifurcation and chaotic motion of the GMA system.MethodsBased on the multi-scale method, the analytical solution of the system and the main resonance response equation were solved. Through the numerical simulation, the key structural parameters of the uncontrolled system and the time delayed feedback parameters of the control system were studied to investigate the characteristics of the main resonance and the chaotic motion.ResultsThe research results indicate that uncontrolled systems exhibit bifurcation and multivalued solutions. Appropriately increasing the time delayed gain coefficient can effectively eliminate the main resonance bifurcation and jumping phenomenon, and reduce the chaotic motion region. The results have a certain guiding role in improving the output stability of the GMA systems.
format Article
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institution DOAJ
issn 1004-2539
language zho
publishDate 2025-05-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-583c22215c874065ba3dca1ca6f675df2025-08-20T03:09:48ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392025-05-01498087100922095Research on nonlinear dynamic characteristics of GMA under time delayed feedback controlXU ChenyuLI HongzhuZHOU YafuObjectiveTo effectively control the nonlinear characteristics of giant magnetostrictive actuators (GMAs), a combined linear and nonlinear time delayed feedback controller was designed to suppress the main resonance bifurcation and chaotic motion of the GMA system.MethodsBased on the multi-scale method, the analytical solution of the system and the main resonance response equation were solved. Through the numerical simulation, the key structural parameters of the uncontrolled system and the time delayed feedback parameters of the control system were studied to investigate the characteristics of the main resonance and the chaotic motion.ResultsThe research results indicate that uncontrolled systems exhibit bifurcation and multivalued solutions. Appropriately increasing the time delayed gain coefficient can effectively eliminate the main resonance bifurcation and jumping phenomenon, and reduce the chaotic motion region. The results have a certain guiding role in improving the output stability of the GMA systems.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2025.05.012Giant magnetostrictive actuatorTime delayed feedback controlPrimary resonanceChaotic motionStability
spellingShingle XU Chenyu
LI Hongzhu
ZHOU Yafu
Research on nonlinear dynamic characteristics of GMA under time delayed feedback control
Jixie chuandong
Giant magnetostrictive actuator
Time delayed feedback control
Primary resonance
Chaotic motion
Stability
title Research on nonlinear dynamic characteristics of GMA under time delayed feedback control
title_full Research on nonlinear dynamic characteristics of GMA under time delayed feedback control
title_fullStr Research on nonlinear dynamic characteristics of GMA under time delayed feedback control
title_full_unstemmed Research on nonlinear dynamic characteristics of GMA under time delayed feedback control
title_short Research on nonlinear dynamic characteristics of GMA under time delayed feedback control
title_sort research on nonlinear dynamic characteristics of gma under time delayed feedback control
topic Giant magnetostrictive actuator
Time delayed feedback control
Primary resonance
Chaotic motion
Stability
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2025.05.012
work_keys_str_mv AT xuchenyu researchonnonlineardynamiccharacteristicsofgmaundertimedelayedfeedbackcontrol
AT lihongzhu researchonnonlineardynamiccharacteristicsofgmaundertimedelayedfeedbackcontrol
AT zhouyafu researchonnonlineardynamiccharacteristicsofgmaundertimedelayedfeedbackcontrol