基于数据驱动参数优化的非线性晃动等效模型研究

RESEARCH ON NON-LINEAR SLOSH MODEL BASED ON DATA-DRIVEN PARAMETER OPTIMIZATION METHOD

  • 摘要: 前期研究表明三自由度刚体摆复合模型在航天器储箱内液体非线性晃动动力学等效建模领域具有重要的潜在应用价值;该模型虽然能够精确描述常规重力环境下的液体非线性晃动行为(包括大幅面内/面外横向晃动、旋转晃动、液体涡旋),但对于低重力环境下模型的力学等效性,尚需进一步验证。因此,提出了一种基于数据驱动参数优化的刚体摆复合模型等效参数辨识方法,该方法利用计算流体动力学仿真FLOW-3D软件的数据,通过粒子群优化算法(PSO)对关键参数进行辨识。该参数辨识方法能够快速、准确地确定晃动模型的等效参数,校验结果具有较高的可靠性。研究结果表明:在低重力环境中,即便是小幅的平面晃动,液体的阻尼耗散效应亦不容忽视;在大幅平面晃动工况下,无论是简谐激励还是阶跃激励,三自由度刚体摆复合模型均能很好地反应晃动力的变化趋势。同时,利用参数辨识方法,对应地修正了已有刚体摆复合模型的等效参数。此外,通过系统性仿真,总结了不同重力条件下刚体摆复合模型等效摆长和等效质量分数关于充液比的数学经验关系,为后续研究液体大幅非平面晃动问题提供了理论基础。

     

    Abstract: The previous research has indicated that the 3DOF-rigid-pendulum composite model holds a significant potential for the application in the field of equivalent modelling of non-linear liquid sloshing dynamics within spacecraft tanks. While this model can accurately describe the non-linear sloshing behavior of liquids under conventional gravitational conditions (Including large-amplitude in-plane/out-of-plane lateral sloshing, rotational sloshing, and liquid vortex), the mechanical equivalence of the model under low-gravity conditions requires a further validation. Consequently, a method for identifying equivalent parameters of the rigid pendulum composite model based on data-driven parameter optimization has been proposed. This method utilizes data from the computational fluid dynamics simulation software FLOW-3D to identify key parameters via a particle swarm optimization (PSO) algorithm. This parameter identification method enables the rapid and accurate determination of the sloshing model's equivalent parameters, yielding highly reliable validation results. Research findings indicate that the damping dissipation effect of the liquid cannot be neglected in low gravity environments even for small-amplitude planar sloshing, and that the 3DOF-rigid-pendulum composite model can respond well to the change trend of the sloshing force in large-amplitude planar sloshing conditions, whether it is a harmonic excitation or a step excitation. At the same time, the equivalent parameters of the existing rigid-pendulum composite model are corrected by using the parameter identification method. In addition, through systematic simulation, this research summarizes the mathematical empirical relationships between the equivalent pendulum length and equivalent mass parameters of the rigid-pendulum composite model and the liquid filling ratio under different gravity conditions, which provides a theoretical basis for the subsequent study of the large-amplitude non-planar sloshing problem of liquids.

     

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