热辐射及重力梯度对大型空间柔性梁结构振动影响分析
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国家自然科学基金(12172282,12102346),机械结构力学及控制国家重点实验室开放课题资助(MCMSE0221K01),中央高校基基本科研业务费专项资金资助


Analysis of the Influence of Thermal Radiation and Gravity Gradient on the Vibration of Spatial Flexible Beam
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    摘要:

    鉴于大型航天器在轨服役期间会受到万有引力梯度、热辐射等复杂载荷作用,致使结构诱发热-结构耦合振动现象.因此,本文将研究万有引力梯度和热辐射载荷作用下大型空间柔性梁的动力学行为.首先,基于绝对节点坐标方法和热-结构耦合理论,建立柔性梁的数学模型;其次,通过Legendre变换,推导出Hamilton 体系下柔性梁结构的对偶方程;然后通过数值仿真,研究了无地球阴影时柔性梁的热致振动,发现柔性梁结构的位移响应包括万有引力梯度引起的振动和热致振动,其运动较为稳定;进一步的,数值结果表明地球阴影对柔性梁的热致振动幅值以及稳定性有着非常显著的影响.同时,针对地球静止轨道上的柔性梁,发现热致振动影响大于万有引力梯度,并比较了柱形阴影和锥形阴影的影响.

    Abstract:

    As the large-scale spacecraft is subjected to complex loads on orbit, such as gravity gradient and thermal radiation, the thermal-dynamic coupling vibration has been induced. Therefore, the influences of gravity gradient and thermal radiation on the dynamical characteristics of the large-scale flexible beam are investigated. Firstly, based on the method of the absolute nodal coordinate and the theory of thermal-dynamic coupling, the analytical model of the lager-scale flexible beam is established; secondly, through Legendre transformation, the dual equations of this structure in Hamilton system are derived; Then through the numerical examples, it is found that the thermal flutter response may take place but its vibration amplitude is small; Furthermore, the numerical results show that the earth’s shadow has a very significant effect on the thermally induced vibration amplitude and stability of the flexible beam. Meanwhile, for a flexible beam in GEO ,it is found that the thermally induced vibration effect is greater than the gravitational gradient, and the effects of cylinder shadows and taper shadows are compared.

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龚浩然,曹善成,王博,吴志刚.热辐射及重力梯度对大型空间柔性梁结构振动影响分析[J].动力学与控制学报,2023,21(11):1~9; Gong Haoran, Cao Shancheng, Wang Bo, Wu Zhigang. Analysis of the Influence of Thermal Radiation and Gravity Gradient on the Vibration of Spatial Flexible Beam[J]. Journal of Dynamics and Control,2023,21(11):1-9.

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  • 收稿日期:2022-09-02
  • 最后修改日期:2022-10-17
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  • 在线发布日期: 2024-01-16
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