含弱阻尼空间结构的耦合动力学保结构分析
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国家自然科学基金资助项目(11872303,11672241,11972284),西北工业大学博士论文创新基金资助项目(CX201810)


Coupling dynamic structurepersevering analysis of spatial structure with weak damping
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    摘要:

    大型空间结构的平面运动、姿态变化和结构振动影响着其在轨运行的工作精度、效率和寿命.针对太阳帆塔空间太阳能电站,根据其设计方案的结构特征,简化得到轨道平面内的梁弹簧梁模型.考虑系统中存在的弱阻尼作用,建立了耦合系统的动力学控制方程,采用辛RungeKutta和广义多辛结合的复合保结构方法,对系统的耦合动力学行为和阻尼作用进行了分析.研究发现,弱阻尼作用对空间结构轨道变化存在微小影响,其值与轨道半径的比值在10-8量级.姿态角的变化会导致系统非刚性构件的形变变化.研究工作拓展了保结构方法在复杂空间结构动力学问题中的应用,为复杂系统结构的设计和主动控制提供了理论参考.

    Abstract:

    The accuracy,efficiency and life of large spatial structures in orbit are affected by the plane motion,attitude and vibration. According to the structural characteristics,the sail tower space solar power station(SSPS)was simplified into a beamspringbeam model. Weak structural damping was taken into account,and dynamic equations of the model in the orbital plane were established. The coupling dynamic behaviors and damping effects of the system were analyzed by a complex structurepersevering method combining the symplectic RungeKutta method and the generalized multisymplectic method. It was found that weak damping has a slight influence on the variation of orbit radius of the spatial structure,and the ratio of the variation to the orbit radius is the order of 10-8,and the change of the attitude angle induces the deformation of nonrigid components of the system. This study extends the structurepersevering method into the dynamic analysis of complicated spatial structures,which provides theoretical references for the design and control of these systems.

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宋明哲,邓子辰,赵云平,余大宏,胡伟鹏.含弱阻尼空间结构的耦合动力学保结构分析[J].动力学与控制学报,2019,17(5):419~424; Song Mingzhe, Deng Zichen, Zhao Yunping, Yu Dahong, Hu Weipeng. Coupling dynamic structurepersevering analysis of spatial structure with weak damping[J]. Journal of Dynamics and Control,2019,17(5):419-424.

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  • 收稿日期:2019-09-02
  • 最后修改日期:2019-09-12
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  • 在线发布日期: 2019-11-04
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