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Technical Brief

Dynamics and Modal Analysis of Gyroelastic Body With Variable Speed Control Moment Gyroscopes

[+] Author and Article Information
Quan Hu

School of Aerospace Engineering,
Beijing Institute of Technology,
Beijing 100091, China
e-mail: huquan2690@bit.edu.cn

Yinghong Jia

Associate Professor
School of Astronautics,
Beihang University,
Beijing 100191, China
e-mail: jia_yingh@163.com

Haiyan Hu

Professor
School of Aerospace Engineering,
Beijing Institute of Technology,
Beijing 100081, China
e-mail: haiyan_hu@bit.edu.cn

Shijie Xu

Professor
School of Astronautics,
Beihang University,
Beijing 100191, China
e-mail: starsjxu@163.com

Jingrui Zhang

Professor
School of Aerospace Engineering,
Beijing Institute of Technology,
Beijing 100081, China
e-mail: zhangjingrui@bit.edu.cn

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received October 19, 2012; final manuscript received April 13, 2016; published online May 12, 2016. Assoc. Editor: Jozsef Kovecses.

J. Comput. Nonlinear Dynam 11(4), 044506 (May 12, 2016) (6 pages) Paper No: CND-12-1179; doi: 10.1115/1.4033438 History: Received October 19, 2012; Revised April 13, 2016

Gyroelastic body refers to a flexible structure with a distribution of stored angular momentum (called gyricity). In previous studies, it was assumed that each volume element of the structure possesses an infinitesimal spinning rotor so that the distribution of the gyricity is continuous. However, the momentum devices must be discretely distributed in engineering applications; therefore, this paper studies the gyroelastic body formed by directly mounting a set of variable speed control moment gyroscopes (CMGs) on the flexible structure. The detailed dynamics of the CMGs is incorporated to capture the interactions between the CMGs and the structure. The gyroelastic modes and pseudorigid modes are discussed based on the linearized mathematical model. The examples of a gyroelastic beam and a gyroelastic parabolic structure demonstrate several involved concepts and properties.

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Figures

Grahic Jump Location
Fig. 1

A flexible body with the ith VS-CMG

Grahic Jump Location
Fig. 4

Pseudorigid modes of the unconstrained gyroelastic beam

Grahic Jump Location
Fig. 5

A constrained gyroelastic parabolic structure

Grahic Jump Location
Fig. 6

Gyroelastic modes of the parabolic structure: (a) hi = 10 Nms and (b) hi = 0 Nms

Grahic Jump Location
Fig. 2

An unconstrained gyroelastic beam

Grahic Jump Location
Fig. 3

Gyroelastic modes of the unconstrained beam (μ1,υ1) : (a) hi = 0 Nms and (b) hi = 10 Nms

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