热−间隙耦合作用下航天器悬臂梁振动建模与参数优化

Vibration modeling and parameter optimization of spacecraft cantilever beams under thermo-gap coupling effects

  • 摘要: 为有效控制航天器在轨运行中的微振动,提升其结构稳定性与使用寿命,文章针对连接带间隙悬臂梁结构,采用力积分法将太阳热流与接触反力引入系统方程,建立了考虑端部阻挡作用的热致振动模型;并结合有限元拟合振型进行数值求解。结果表明:该模型可有效预测热流激励与间隙碰撞引发的非线性动力学响应;当阻挡刚度小于100 N/m时,增大刚度能显著抑制振动峰值,超过该值后效果趋于饱和。敏感度分析表明,影响系统响应的主要因素按贡献率由大到小依次为太阳热流入射角、阻尼比、间隙以及阻挡刚度。该研究揭示了各关键参数与系统响应间的关系,可为热致非线性振动特性建模、结构振动控制与参数优化设计提供理论依据与仿真支撑。

     

    Abstract: To mitigate micro-vibrations during on-orbit spacecraft operation and enhance structural stability and service life, this study investigates a cantilever beam structure with an end-stop clearance. The force integration method was employed to incorporate both solar heat flux and contact reaction forces into the system equations, establishing a thermally induced vibration model that accounts for the end-stop effects. The model was solved numerically using finite element-fitted mode shapes. Results demonstrate that the proposed model effectively predicts the nonlinear dynamic responses induced by both thermal excitation and clearance collisions. When the stop stiffness is below 100 N/m, increasing the stiffness significantly suppresses the vibration peaks, with the effect saturating beyond this threshold. Sensitivity analysis reveals that the primary influencing factors, in descending order of significance, are: the solar heat flux incidence angle, the damping ratio, the clearance size, and the stop stiffness. This study elucidates the relationships between key parameters and the system response, providing theoretical and numerical support for the modeling of thermally induced nonlinear vibrations, structural vibration control, and parameter optimization design.

     

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