Normalized Study of Three-Parameter System in the Time Domain and Frequency Domain

Three-parameter isolation system can be used to isolate microvibration for control moment gyroscopes. Normalized analytical model for three-parameter system in the time domain and frequency domain is proposed by using analytical method. Dynamic behavior of three-parameter system in the time domain a...

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Main Authors: Xiao-Lei Jiao, Yang Zhao, Wen-Lai Ma
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2017/9153178
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author Xiao-Lei Jiao
Yang Zhao
Wen-Lai Ma
author_facet Xiao-Lei Jiao
Yang Zhao
Wen-Lai Ma
author_sort Xiao-Lei Jiao
collection DOAJ
description Three-parameter isolation system can be used to isolate microvibration for control moment gyroscopes. Normalized analytical model for three-parameter system in the time domain and frequency domain is proposed by using analytical method. Dynamic behavior of three-parameter system in the time domain and frequency domain is studied. Response in the time domain under different types of excitations is analyzed. In this paper, a regulatory factor is defined in order to analyze dynamic behavior in the frequency domain. For harmonic excitation, a comparison study is made on isolation performance between the case when the system has optimal damping and the case when regulatory factor is 1. Besides, phase margin of three-parameter system is obtained. Results show that dynamic behavior in the time domain and frequency domain changes with regulatory factor. Phase margin has the largest value when the value of regulatory factor is 1. System under impulse excitation and step excitation has the shortest settling time for the response in the time domain when the value of regulatory factor is 1. When stiffness ratio is small, isolation performances of two cases are nearly the same; when system has a large stiffness ratio, isolation performance of the first case is better.
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institution Kabale University
issn 1070-9622
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publishDate 2017-01-01
publisher Wiley
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series Shock and Vibration
spelling doaj-art-640432fcf63846b8beadf62d86158bfd2025-02-03T05:47:51ZengWileyShock and Vibration1070-96221875-92032017-01-01201710.1155/2017/91531789153178Normalized Study of Three-Parameter System in the Time Domain and Frequency DomainXiao-Lei Jiao0Yang Zhao1Wen-Lai Ma2School of Astronautics, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Astronautics, Harbin Institute of Technology, Harbin 150001, ChinaSchool of Astronautics, Harbin Institute of Technology, Harbin 150001, ChinaThree-parameter isolation system can be used to isolate microvibration for control moment gyroscopes. Normalized analytical model for three-parameter system in the time domain and frequency domain is proposed by using analytical method. Dynamic behavior of three-parameter system in the time domain and frequency domain is studied. Response in the time domain under different types of excitations is analyzed. In this paper, a regulatory factor is defined in order to analyze dynamic behavior in the frequency domain. For harmonic excitation, a comparison study is made on isolation performance between the case when the system has optimal damping and the case when regulatory factor is 1. Besides, phase margin of three-parameter system is obtained. Results show that dynamic behavior in the time domain and frequency domain changes with regulatory factor. Phase margin has the largest value when the value of regulatory factor is 1. System under impulse excitation and step excitation has the shortest settling time for the response in the time domain when the value of regulatory factor is 1. When stiffness ratio is small, isolation performances of two cases are nearly the same; when system has a large stiffness ratio, isolation performance of the first case is better.http://dx.doi.org/10.1155/2017/9153178
spellingShingle Xiao-Lei Jiao
Yang Zhao
Wen-Lai Ma
Normalized Study of Three-Parameter System in the Time Domain and Frequency Domain
Shock and Vibration
title Normalized Study of Three-Parameter System in the Time Domain and Frequency Domain
title_full Normalized Study of Three-Parameter System in the Time Domain and Frequency Domain
title_fullStr Normalized Study of Three-Parameter System in the Time Domain and Frequency Domain
title_full_unstemmed Normalized Study of Three-Parameter System in the Time Domain and Frequency Domain
title_short Normalized Study of Three-Parameter System in the Time Domain and Frequency Domain
title_sort normalized study of three parameter system in the time domain and frequency domain
url http://dx.doi.org/10.1155/2017/9153178
work_keys_str_mv AT xiaoleijiao normalizedstudyofthreeparametersysteminthetimedomainandfrequencydomain
AT yangzhao normalizedstudyofthreeparametersysteminthetimedomainandfrequencydomain
AT wenlaima normalizedstudyofthreeparametersysteminthetimedomainandfrequencydomain