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Journal cover: Aircraft Engineering and Aerospace Technology

Aircraft Engineering and Aerospace Technology

ISSN: 0002-2667

Online from: 1929

Subject Area: Mechanical & Materials Engineering

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Dynamics of vibration isolation system obeying fractional differentiation


Document Information:
Title:Dynamics of vibration isolation system obeying fractional differentiation
Author(s):Song Li, (School of Astronautics, Harbin Institute of Technology, Harbin, People's Republic of China), Bo Fang, (School of Astronautics, Harbin Institute of Technology, Harbin, People's Republic of China), Tianzhi Yang, (School of Astronautics, Harbin Institute of Technology, Harbin, People's Republic of China), Yewei Zhang, (School of Astronautics, Harbin Institute of Technology, Harbin, People's Republic of China), Lijun Tan, (School of Astronautics, Harbin Institute of Technology, Harbin, People's Republic of China), Wenhu Huang, (School of Astronautics, Harbin Institute of Technology, Harbin, People's Republic of China)
Citation:Song Li, Bo Fang, Tianzhi Yang, Yewei Zhang, Lijun Tan, Wenhu Huang, (2012) "Dynamics of vibration isolation system obeying fractional differentiation", Aircraft Engineering and Aerospace Technology, Vol. 84 Iss: 2, pp.103 - 108
Keywords:Damping, Fractional derivative, Spacecraft, Stress-strain constitutive relationship, Vibration, Vibration isolation, Viscoelastic materials, Whole-spacecraft vibration isolator
Article type:Research paper
DOI:10.1108/00022661211207910 (Permanent URL)
Publisher:Emerald Group Publishing Limited
Abstract:

Purpose – The purpose of this paper is to analyze a new, whole-spacecraft isolator and its performance of vibration isolation, which has been designed to ensure spacecraft safety at the launching stage.

Design/methodology/approach – The design is based on the analysis of fractional derivative stress-strain constitutive relationship of viscoelastic materials. First, the authors study the constitutive relationships for viscoelastic solid of the damping materials, then the authors introduce the results obtained to the equations of motion for the damped isolator.

Findings – By performing a series of transformation, the authors obtain the analytical solution of the equations. It is shown that the results compare favourably to the numerical simulations and experiments. In addition, a saturation phenomenon for the first order damping ratio is also discussed.

Practical implications – It is found that the constitutive relationships written in terms of the fractional calculus can be applied in the system function of the whole-spacecraft vibration isolator. Such relationships, developed previously from a model analysis base, have been shown to be useful tools for engineering analyses.

Originality/value – Some suggestions are given to improve the design of viscoelastic whole-spacecraft isolators. The establishment of a theoretical basis for the new fractional differential dynamical system enhances their value, as they may now be used with increased reliability of satellite.



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