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推导了带伸展柔性附件航天器的时变系数动力学方程。对比了用刚性模型和柔性模型处理这类问题的区别，柔性模型的姿态角速度围绕刚性模型姿态角速度曲线振荡，因此用刚性模型可以近似地预测角速度的运动趋势。分析了附件自由振动和受简谐激励、脉冲激励时对航天器姿态的影响。指出了一些独特的动力学行为：齐次解的非瞬态特性、脉冲响应的渐强振动、简谐激励的非稳态特性、瞬时共振的延续和加强。这些特性的存在会导致航天器姿态的剧烈运动和附件的破坏
The time-varying dynamic equations of the spacecraft with extensible flexible attachment are deduced. The difference between the rigid model and the flexible model is compared. The attitude angular velocity of the flexible model oscillates around the angular velocity curve of the rigid model. Therefore, the rigid model can approximate the trend of the angular velocity. The influence of attachment vibration and spacecraft attitude under pulsed excitation is analyzed. Some unique kinetic behaviors are pointed out: the non-transient characteristics of homogeneous solution, the progressive vibration of impulse response, the unsteady characteristics of harmonic excitation, the continuation and strengthening of instantaneous resonance. The presence of these features can lead to strenuous movements of the spacecraft’s attitude and the destruction of attachments