空间太阳能电站重力姿态-轨道-结构耦合特性

doi:10.7527/S1000-6893.2017.221244

固体力学与飞行器总体设计

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空间太阳能电站重力姿态-轨道-结构耦合特性

刘玉亮^1,2, 邬树楠^1,2, 刘家夫³, 吴志刚^1,2

1. 大连理工大学航空航天学院, 大连 116024;
2. 大连理工大学工业装备结构分析国家重点实验室, 大连 116024;
3. 沈阳航空航天大学航空航天工程学部, 沈阳 110136

收稿日期:2017-03-15 修回日期:2017-12-07 出版日期:2017-12-15 发布日期:2017-05-31
通讯作者: 吴志刚 E-mail:wuzhg@dlut.edu.cn
基金资助:
国家自然科学基金（11432010，1150240）；中央高校基本科研业务费专项资金（DUT15LK31）

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

LIU Yuliang^1,2, WU Shu'nan^1,2, LIU Jiafu³, WU Zhigang^1,2

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)

摘要/Abstract

摘要： 基于结构小变形假设，将太阳帆塔式空间太阳能电站（SSPS）简化为两端自由的Euler-Bernoulli梁模型，并建立在重力作用下，假设只考虑轨道平面内电站的姿态和轨道运动与结构振动的耦合动力学方程。其受到的重力、重力梯度力矩和广义重力将以其结构尺寸与运行轨道半径的比值为变量进行泰勒展开，并保留至四阶项。通过对其动力学方程的分析发现，当假设只考虑轨道平面内的姿态运动和轨道平面内结构的横向振动时，结构振动对姿态和轨道运动的影响只存在于三阶及其以上的重力和重力梯度力矩中。此外，在重力激励下当电站的结构角频率小于某一特定值时，其结构振动将会出现屈曲不稳定的现象。保证电站结构振动稳定的条件也将在文中给出。为了分析重力激励对结构振动的影响，提出了"等效角频率"的概念。数值仿真表明，当电站结构角频率较低时，重力激励将对电站的振动产生很大影响。而且重力引起的姿态-轨道-结构的耦合作用也将对空间太阳能电站的轨道运动产生较大影响，轨道半径误差能达千米量级。

关键词: 空间太阳能电站, 姿态-轨道耦合, 结构振动, 重力梯度, 泰勒展开

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

中图分类号:

V412

刘玉亮, 邬树楠, 刘家夫, 吴志刚. 空间太阳能电站重力姿态-轨道-结构耦合特性[J]. 航空学报, 2017, 38(12): 221244-221244.

LIU Yuliang, WU Shu'nan, LIU Jiafu, WU Zhigang. Gravitational attitude-orbit-structure coupling of space solar power station[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017, 38(12): 221244-221244.

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空间太阳能电站重力姿态-轨道-结构耦合特性

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

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