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

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 cont...

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Bibliographic Details
Published in:Applied mathematics and mechanics 2018-02, Vol.39 (2), p.261-274
Main Authors: Yin, Tingting, Deng, Zichen, Hu, Weipeng, Wang, Xindong
Format: Article
Language:English
Subjects:
Applications of Mathematics
Classical Mechanics
Computer simulation
Damping
Dynamic models
Economic models
Equivalence
Euler-Lagrange equation
Fluid- and Aerodynamics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Numerical stability
Partial Differential Equations
Runge-Kutta method
Solar energy
Solar generators
Stiffness matrix
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Summary: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.
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-018-2293-6