A symplectic Runge-Kutta method for the analysis of the tethered satellite system

Nuan Fang Xu; Zi Chen Deng; Yan Wang; Kai Zhang

doi:10.1108/MMMS-11-2016-0060

A symplectic Runge-Kutta method for the analysis of the tethered satellite system

Nuan Fang Xu, Zi Chen Deng, Yan Wang, Kai Zhang

Northwestern Polytechnical University Xian

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Purpose - The purpose of this paper is to study the dynamic vibrations of the tethered satellite system (TSS). Design/methodology/approach - The energy principle and the variational approach are used to establish the dynamic equations of the TSS. By introducing new generalized coordinates, the equations are transformed into the Hamiltonian system. Then, the symplectic Runge-Kutta (SRK) method is used to solve the canonical equations. Findings - The influence of the tether length on the dynamic behavior of the TSS is very important. Originality/value - The dynamic responses of the TSS are obtained by using the SRK method.

Original language	English
Pages (from-to)	26-35
Number of pages	10
Journal	Multidiscipline Modeling in Materials and Structures
Volume	13
Issue number	1
DOIs	https://doi.org/10.1108/MMMS-11-2016-0060
State	Published - 2017

Keywords

Canonical equation
Hamiltonian system
Symplectic runge-kutta method
Tethered satellite

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10.1108/MMMS-11-2016-0060

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abstract = "Purpose - The purpose of this paper is to study the dynamic vibrations of the tethered satellite system (TSS). Design/methodology/approach - The energy principle and the variational approach are used to establish the dynamic equations of the TSS. By introducing new generalized coordinates, the equations are transformed into the Hamiltonian system. Then, the symplectic Runge-Kutta (SRK) method is used to solve the canonical equations. Findings - The influence of the tether length on the dynamic behavior of the TSS is very important. Originality/value - The dynamic responses of the TSS are obtained by using the SRK method.",

keywords = "Canonical equation, Hamiltonian system, Symplectic runge-kutta method, Tethered satellite",

author = "Xu, {Nuan Fang} and Deng, {Zi Chen} and Yan Wang and Kai Zhang",

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T1 - A symplectic Runge-Kutta method for the analysis of the tethered satellite system

AU - Xu, Nuan Fang

AU - Deng, Zi Chen

AU - Wang, Yan

AU - Zhang, Kai

N1 - Publisher Copyright: © Emerald Publishing Limited.

PY - 2017

Y1 - 2017

N2 - Purpose - The purpose of this paper is to study the dynamic vibrations of the tethered satellite system (TSS). Design/methodology/approach - The energy principle and the variational approach are used to establish the dynamic equations of the TSS. By introducing new generalized coordinates, the equations are transformed into the Hamiltonian system. Then, the symplectic Runge-Kutta (SRK) method is used to solve the canonical equations. Findings - The influence of the tether length on the dynamic behavior of the TSS is very important. Originality/value - The dynamic responses of the TSS are obtained by using the SRK method.

AB - Purpose - The purpose of this paper is to study the dynamic vibrations of the tethered satellite system (TSS). Design/methodology/approach - The energy principle and the variational approach are used to establish the dynamic equations of the TSS. By introducing new generalized coordinates, the equations are transformed into the Hamiltonian system. Then, the symplectic Runge-Kutta (SRK) method is used to solve the canonical equations. Findings - The influence of the tether length on the dynamic behavior of the TSS is very important. Originality/value - The dynamic responses of the TSS are obtained by using the SRK method.

KW - Canonical equation

KW - Hamiltonian system

KW - Symplectic runge-kutta method

KW - Tethered satellite

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M3 - 文章

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SN - 1573-6105

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JO - Multidiscipline Modeling in Materials and Structures

JF - Multidiscipline Modeling in Materials and Structures

IS - 1

ER -

A symplectic Runge-Kutta method for the analysis of the tethered satellite system

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Keywords

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