Dynamic modeling and simulation of deploying process for space solar power satellite receiver

Tingting YIN, Zichen DENG, Weipeng HU, Xindong WANG

doi:10.1007/s10483-018-2293-6

Applied Mathematics and Mechanics >

2018 , Vol. 39 >Issue 2: 261 - 274

DOI: https://doi.org/10.1007/s10483-018-2293-6

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Dynamic modeling and simulation of deploying process for space solar power satellite receiver

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1. Department of Engineering Mechanics, Northwestern Polytechnical University, Xi'an 710072, China;
2. State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, Liaoning Province, China

Received date: 2017-05-15

Revised date: 2017-08-01

Online published: 2018-02-01

Supported by

Project supported by the National Natural Science Foundation of China (Nos. 11432010, 11672241, and 11502202) and the Open Foundation of the State Key Laboratory of Structural Analysis of Industrial Equipment of China (No. GZ1605)

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Abstract

To reveal some dynamic properties of the deploying process for the solar power satellite via an arbitrarily large phased array (SPS-ALPHA) solar receiver, the symplectic Runge-Kutta method is used to simulate the simplified model with the consideration of the Rayleigh damping effect. The system containing the Rayleigh damping can be separated and transformed into the equivalent nondamping system formally to insure the application condition of the symplectic Runge-Kutta method First, the Lagrange equation with the Rayleigh damping governing the motion of the system is derived via the variational principle. Then, with some reasonable assumptions on the relations among the damping, mass, and stiffness matrices, the Rayleigh damping system is equivalently converted into the nondamping system formally, so that the symplectic Runge-Kutta method can be used to simulate the deploying process for the solar receiver. Finally, some numerical results of the symplectic Runge-Kutta method for the dynamic properties of the solar receiver are reported. The numerical results show that the proposed simplified model is valid for the deploying process for the SPS-ALPHA solar receiver, and the symplectic Runge-Kutta method can preserve the displacement constraints of the system well with excellent long-time numerical stability.

Key words： fibre bundle; controllability; observability; minimality; separate and transform; Rayleigh damping; symplectic Runge-Kutta method; structure preserving; solar power satellite

Cite this article

Tingting YIN, Zichen DENG, Weipeng HU, Xindong WANG . Dynamic modeling and simulation of deploying process for space solar power satellite receiver[J]. Applied Mathematics and Mechanics, 2018 , 39(2) : 261 -274 . DOI: 10.1007/s10483-018-2293-6

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