On Numerical Simulation Approach for Multiple Resonance Modes in Servo Systems

Mechanical resonance is one of the most pervasive problems in servo control. Closed-loop simulations are requisite when the servo control system with high accuracy is designed. The mathematical model of resonance mode must be considered when the closed-loop simulations of servo systems are done. The...

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Main Authors:	Qixin Zhu, Hongli Liu, Yiyi Yin, Lei Xiong, Yonghong Zhu
Format:	Article
Language:	English
Published:	Hindawi Limited 2017-01-01
Series:	Journal of Control Science and Engineering
Online Access:	http://dx.doi.org/10.1155/2017/1261495

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record_format	Article
spelling	doaj-663cd551f77b45c2920337f91d051f4e2020-11-25T02:03:38ZengHindawi LimitedJournal of Control Science and Engineering1687-52491687-52572017-01-01201710.1155/2017/12614951261495On Numerical Simulation Approach for Multiple Resonance Modes in Servo SystemsQixin Zhu0Hongli Liu1Yiyi Yin2Lei Xiong3Yonghong Zhu4School of Mechanical Engineering, Suzhou University of Science and Technology, Suzhou 215009, ChinaSchool of Mechanical Engineering, Suzhou University of Science and Technology, Suzhou 215009, ChinaSchool of Electronic and Information Engineering, Suzhou University of Science and Technology, Suzhou 215009, ChinaSchool of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013, ChinaSchool of Mechanical and Electronic Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333001, ChinaMechanical resonance is one of the most pervasive problems in servo control. Closed-loop simulations are requisite when the servo control system with high accuracy is designed. The mathematical model of resonance mode must be considered when the closed-loop simulations of servo systems are done. There will be a big difference between the simulation results and the real actualities of servo systems when the resonance mode is not considered in simulations. Firstly, the mathematical model of resonance mode is introduced in this paper. This model can be perceived as a product of a differentiation element and an oscillating element. Secondly, the second-order differentiation element is proposed to simulate the resonant part and the oscillating element is proposed to simulate the antiresonant part. Thirdly, the simulation approach for two resonance modes in servo systems is proposed. Similarly, this approach can be extended to the simulation of three or even more resonances in servo systems. Finally, two numerical simulation examples are given.http://dx.doi.org/10.1155/2017/1261495
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Qixin Zhu Hongli Liu Yiyi Yin Lei Xiong Yonghong Zhu
spellingShingle	Qixin Zhu Hongli Liu Yiyi Yin Lei Xiong Yonghong Zhu On Numerical Simulation Approach for Multiple Resonance Modes in Servo Systems Journal of Control Science and Engineering
author_facet	Qixin Zhu Hongli Liu Yiyi Yin Lei Xiong Yonghong Zhu
author_sort	Qixin Zhu
title	On Numerical Simulation Approach for Multiple Resonance Modes in Servo Systems
title_short	On Numerical Simulation Approach for Multiple Resonance Modes in Servo Systems
title_full	On Numerical Simulation Approach for Multiple Resonance Modes in Servo Systems
title_fullStr	On Numerical Simulation Approach for Multiple Resonance Modes in Servo Systems
title_full_unstemmed	On Numerical Simulation Approach for Multiple Resonance Modes in Servo Systems
title_sort	on numerical simulation approach for multiple resonance modes in servo systems
publisher	Hindawi Limited
series	Journal of Control Science and Engineering
issn	1687-5249 1687-5257
publishDate	2017-01-01
description	Mechanical resonance is one of the most pervasive problems in servo control. Closed-loop simulations are requisite when the servo control system with high accuracy is designed. The mathematical model of resonance mode must be considered when the closed-loop simulations of servo systems are done. There will be a big difference between the simulation results and the real actualities of servo systems when the resonance mode is not considered in simulations. Firstly, the mathematical model of resonance mode is introduced in this paper. This model can be perceived as a product of a differentiation element and an oscillating element. Secondly, the second-order differentiation element is proposed to simulate the resonant part and the oscillating element is proposed to simulate the antiresonant part. Thirdly, the simulation approach for two resonance modes in servo systems is proposed. Similarly, this approach can be extended to the simulation of three or even more resonances in servo systems. Finally, two numerical simulation examples are given.
url	http://dx.doi.org/10.1155/2017/1261495
work_keys_str_mv	AT qixinzhu onnumericalsimulationapproachformultipleresonancemodesinservosystems AT hongliliu onnumericalsimulationapproachformultipleresonancemodesinservosystems AT yiyiyin onnumericalsimulationapproachformultipleresonancemodesinservosystems AT leixiong onnumericalsimulationapproachformultipleresonancemodesinservosystems AT yonghongzhu onnumericalsimulationapproachformultipleresonancemodesinservosystems
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On Numerical Simulation Approach for Multiple Resonance Modes in Servo Systems

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