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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2017, Vol. 38 ›› Issue (12): 221244-221244.doi: 10.7527/S1000-6893.2017.221244

• Solid Mechanics and Vehicle Conceptual Design • Previous Articles     Next Articles

Gravitational attitude-orbit-structure coupling of space solar power station

LIU Yuliang1,2, WU Shu'nan1,2, LIU Jiafu3, WU Zhigang1,2   

  1. 1. School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116024, China;
    2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China;
    3. Department of Aerospace Engineering, Shenyang Aerospace University, Shenyang 110136, China
  • Received:2017-03-15 Revised:2017-12-07 Online:2017-12-15 Published:2017-05-31
  • Supported by:
    National Natural Science Foundation of China (11432010, 11502040); the Fundamental Research Funds for the Central Universities (DUT15LK31)

Abstract: Based on the assumption of small deformation of the structure, the sun tower Space Solar Power Station (SSPS) is simplified to a Euler-Bernoulli beam with both ends being free, and the coupled dynamical equations for the orbital and attitude motions and structure vibration of the station under the excitation of gravitational force are proposed, which consider only the attitude motion and the structure vibration on the orbital plane. The gravitational force, torque and generalized force are expanded in a Taylor series in the small ratio (spacecraft size/orbital radius) which permits terms up to fourth order to be retained.An analysis of the structural vibration equations finds that the influence of structural vibration on the orbital and attitude motion exists only in no less than three-order gravitational forces and torques if only attitude motion and transverse vibration of the structure on the orbital plane are considered. In addition, a buckling instability of the structure can occur under the excitation of gravitational force if the angular frequency of the space solar power station is below a certain threshold. The condition to guarantee the stabilization of the structure vibration is also derived. A concept of "equivalent angular frequency" is defined for analyzing the influence of the excitation of gravitational force on structural vibration. Numerical simulations show that the influence of the excitation of gravitational force on the structural vibration is great if the angular frequency is low. The coupling effect among the orbital and attitude motion and structural vibration on orbital motion is also great, and the error of the orbital radius can reach the order of one kilometer.

Key words: space solar power station, attitude-orbit coupling, structural vibration, gravity gradient, Taylor expansion

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