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Shock and Vibration
Volume 2017 (2017), Article ID 9153178, 21 pages
https://doi.org/10.1155/2017/9153178
Research Article

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

School of Astronautics, Harbin Institute of Technology, Harbin 150001, China

Correspondence should be addressed to Yang Zhao

Received 12 April 2017; Revised 26 July 2017; Accepted 16 August 2017; Published 1 October 2017

Academic Editor: Naveed Ahmad

Copyright © 2017 Xiao-Lei Jiao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.