论文标题
横向限制对粒子阻尼器明显质量的影响
Effect of lateral confinement on the apparent mass of particle dampers
论文作者
论文摘要
通过DEM模拟，我们研究了附在垂直驱动的单个自由度机械系统上的粒子阻尼器（PD）的明显质量$ M $和损失因子$η$。尽管许多研究集中在$η$上，但较少的工作专门用于$ m $。最近已证明[M。 masmoudi \ textit {et al}。粒状物质18（2016）71。使用3D颗粒包装的实验表明$ k = -2 $。但是，基于非弹性弹跳球模型（IBBM），用一列颗粒的1D列和理论预测的模拟表明$ k = -1 $。这些发现留下了开放的问题，M是否可能取决于包装的维度或墙壁和谷物之间的横向相互作用。反过来，$η$被证明遵循通用曲线，$η\proptoγ^{ - 1} $，无论晶粒运动的维度和约束如何。在这项工作中，我们考虑了颗粒运动（1D，Quasi-1d，quasi-2d和3d）的不同限制条件下的PD。我们发现PD（$ M $和$η$）的动态响应对横向限制或维度不敏感。 However, we have observed two distinct regimes: (i) In the inertial regime, $η$ decays according to the IBBM for all dimensions, $η\proptoγ^{-1}$, while $m$ falls with an apparent power law behaviour that matches Masmoudi's experiments, $m\proptoγ^{-2}$, for all dimensions but only in the range of moderate acceleration, before becoming对于非常高的加速度而言为负。 （ii）在准静态制度中，$ m $和$η$都显示出复杂的行为作为激发振幅的功能，但倾向于IBBM预测，$ M \proptoγ^{ - 1} $和$η\proptoγ^{ - 1} $。
We study, via DEM simulations, the apparent mass $m$ and loss factor $η$ of particle dampers (PD) attached to a vertically driven, single degree of freedom mechanical system. Although many studies focus on $η$, less work has been devoted to $m$. It has been recently demonstrated [M. Masmoudi \textit{et al}. Granular Matter 18 (2016) 71.] that $m$ non-linearly depends on the driving acceleration $γ$ according to a power law, $m\proptoγ^k$. Experiments using 3D packings of particles suggest $k=-2$. However, simulations with 1D columns of particles on a vibrating plate and theoretical predictions based on the inelastic bouncing ball model (IBBM) suggest that $k=-1$. These findings left open questions whether m may depend on the dimensionality of the packing or on lateral interactions between walls and grains. In turn, $η$ was shown to follow a universal curve, $η\proptoγ^{-1}$, whatever the dimensionality and the constraints in the motion of the grains. In this work, we consider PD under different confinement conditions in the motion of the particles (1D, quasi-1D, quasi-2D and 3D). We find that the dynamical response of the PD ($m$ and $η$) is not sensitive to the lateral confinement or dimensionality. However, we have observed two distinct regimes: (i) In the inertial regime, $η$ decays according to the IBBM for all dimensions, $η\proptoγ^{-1}$, while $m$ falls with an apparent power law behaviour that matches Masmoudi's experiments, $m\proptoγ^{-2}$, for all dimensions but only in the range of moderate acceleration, before becoming negative for very high accelerations. (ii) In the quasi-static regime, both $m$ and $η$ display a complex behavior as functions of the excitation amplitude, but tend to the IBBM prediction, $m\proptoγ^{-1}$ and $η\proptoγ^{-1}$.
