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

作　　者：刘玉亮[1,2] 邬树楠[1,2] 刘家夫[3] 吴志刚[1,2] 

机构地区：[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

出　　处：《航空学报》2017年第12期154-165,共12页Acta Aeronautica et Astronautica Sinica

基　　金：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)~~

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。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.

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 

分 类 号：V412[航空宇航科学与技术—航空宇航推进理论与工程]