物体由重力驱动在颗粒介质中的运动过程,从动力学上可以用等效重力、颗粒床的黏性阻力及静压阻力来描述,通过求解此动力学模型,找到了一个能够控制颗粒系统处于不同阻尼状态的参量τ,τ的表达式直接反映了黏性阻力项和静压阻力项的竞争。这种竞争使得颗粒介质能够处于不同阻尼状态,表现出不同的表观阻力行为,根据理论分析结果设计实验,实现了对颗粒介质体系阻尼状态的调节,验证了理论模型给出的运动物体在颗粒介质中受到的阻力形式。
To describe different behaviors of a projectile into a granular media, a model with beth viscous drag and hydrostatic drag has been suggested. Analyses show that the parameter τ plays a key role in determining the forms of the solutions to this model. When τ〈 2, the hydrostatic drag force is dominant, and when τ≥2, the viscous drag is dominant. In these two cases, the projectile moves in the granular media with reverse deceleration variances. Experiments have been performed to verify this argument, and the obtained u(t) curves confirm this prediction.