椭圆形颗粒摩擦碰撞模型对比及实验验证
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国家自然科学基金资助项目(12272197,12202224),山东省自然基金资助项目(ZR2022MA066)


Comparative Study and Experimental Validation of Friction-Collision Models for Elliptical Particles
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    摘要:

    多体系统与颗粒介质的摩擦碰撞问题是未来星表探测面临的难点问题,研究非球形颗粒的碰撞行为及状态演化规律具有切实的应用前景,选取合理的接触力模型是提高预测结果准确性的关键.为此,以椭圆形非球形颗粒为研究对象,分别采用迟滞阻尼模型和黏性阻尼模型建立椭圆颗粒与斜面碰撞的动力学模型,通过数值仿真研究了椭圆颗粒在不同接触力模型下的动力学行为.随后,采用亚克力板制备实验样机,对比了不同接触力模型计算结果与实验结果的差异.研究结果表明:不同的接触力模型与实验结果呈现较大差异.由于亚克力板碰撞恢复系数较低,采用Lankarani-Nikravesh模型等高恢复系数模型时,阻尼效应弱、能量耗散少,导致实际恢复系数与预设恢复系数差异明显.如果阻尼项分母中包含恢复系数,则在较宽范围内取值时都能与预设恢复系数相吻合.采用黏性阻尼模型所得结果均与实验结果较为吻合,但容易计算出负接触力.

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    Friction and collision problems in multibody systems and granular media pose significant challenges in future planetary surface exploration. Investigating the collision behavior and state evolution of non-spherical particles holds promising practical applications. Selecting an appropriate contact force model is crucial for improving the accuracy of predictive outcomes. To this end, elliptical non-spherical particles were chosen as the research object. The hysteretic damping model and the viscous damping model were respectively employed to establish dynamic models for the collision of elliptical particles with an inclined plane. Numerical simulations were conducted to investigate the dynamic behavior of elliptical particles under different contact force models. Subsequently, an experimental prototype was fabricated using acrylic sheets to compare the differences between the simulation results of various contact force models and the experimental findings. The results reveal significant discrepancies between the different contact force models and the experimental outcomes. Due to the relatively low coefficient of restitution of the acrylic sheets, the use of high coefficient of restitution models, such as the Lankarani-Nikravesh model, leads to weak damping effects and minimal energy dissipation, resulting in a significant discrepancy between the actual coefficient of restitution and the preset coefficient of restitution. If the denominator of the damping term includes the coefficient of restitution, the calculated values can match the preset coefficient of restitution over a wider range. The results obtained using the viscous damping model are generally consistent with the experimental results but are prone to producing negative contact forces.

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程勇波,张欣刚,张树翠,姚文莉.椭圆形颗粒摩擦碰撞模型对比及实验验证[J].动力学与控制学报,2025,23(6):86~94; Cheng Yongbo, Zhang Xingang, Zhang Shucui, Yao Wenli. Comparative Study and Experimental Validation of Friction-Collision Models for Elliptical Particles[J]. Journal of Dynamics and Control,2025,23(6):86-94.

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  • 收稿日期:2024-11-14
  • 最后修改日期:2024-12-26
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  • 在线发布日期: 2025-07-04
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