【摘要】 本文利用Lagnrange方程建立了卫星太阳电池翼伸展运动的数学模型.这是一个包含摩擦阻尼、结构阻尼和空气阻尼参数的非线性微分方程组.在用气垫消除了重力影响但存在空气阻尼的地面环境中,对实尺太阳电池翼模型进行了伸展运动的模拟试验并用频闪摄影技术记录了运动的时间历程.再利用最小p乘优化方法识别出该系统的各个阻尼参数.通过对系统运动方程进行数值积分求得的太阳电池翼的伸展运动历程与实测值相当吻合.取空气阻尼等于零,得出了太阳电池翼在无空气阻尼的太空中的伸展运动规律.更多还原

【Abstract】 In this paper, the mathematical model of the spread motion of the solar arrays is established by using the Lagrange equations, which is a nonlinear differential equation set considered various damping parameters including dry friction, viscous and air resistance damping. A full scale model testing is carried out to simulate the spread motion of the solar arrays. The gravity effect is compen sated by an air cushion. However, the air resistance still exists in the testing. The time history of the motion is recorded by using stroboscopic photography technique. The least pth optimization approach is used to identify the various damping parameters. The calculated spread motion curves correspond with the experimental curves very well. It shows the parame(?)er estimation is successful. The spread motion of the solar arrays without air resistance in the space could be obtained by neglecting the air resistance.更多还原