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

doi:10.1007/s10483-018-2293-6

Applied Mathematics and Mechanics (English Edition) ›› 2018, Vol. 39 ›› Issue (2): 261-274.doi: https://doi.org/10.1007/s10483-018-2293-6

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

Tingting YIN¹, Zichen DENG^1,2, Weipeng HU^1,2, Xindong WANG¹

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

收稿日期:2017-05-15 修回日期:2017-08-01 出版日期:2018-02-01 发布日期:2018-02-01
通讯作者: Zichen DENG E-mail:dweifan@nwpu.edu.cn
基金资助:
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)

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

Tingting YIN¹, Zichen DENG^1,2, Weipeng HU^1,2, Xindong WANG¹

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:2017-05-15 Revised:2017-08-01 Online:2018-02-01 Published:2018-02-01
Contact: Zichen DENG E-mail:dweifan@nwpu.edu.cn
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)

摘要/Abstract

摘要： 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.

关键词: fibre bundle, controllability, observability, minimality, structure preserving, solar power satellite, separate and transform, symplectic Runge-Kutta method, Rayleigh damping

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

中图分类号:

74H40
70G45

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 (English Edition), 2018, 39(2): 261-274.

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

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

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