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Over-stiff and over-damped problem of multi-sphere approach for ellipse-wall collision using discrete element method
Powder Technology ( IF 5.2 ) Pub Date : 2021-09-13 , DOI: 10.1016/j.powtec.2021.09.008
Jun Kang Chow 1 , Pei Tai 2 , Jinhui Li 2 , Zhaofeng Li 2 , Wenzeng Wang 2
Affiliation  

Ellipse in Discrete Element Method simulation can be modelled by a cluster of sub-spheres under the multi-sphere approach or one elliptical entity under the single-particle approach. However, due to multiple sub-contacts, the cluster response is over-stiff and over-damped, compared with the particle response (i.e., ground truth). The equalized method was proposed to solve the problem, where the stiffness and damping coefficient for each sub-contact is equally reduced from the ground truths by a factor of the sub-contact number. Alternatively, the best-fit method was proposed to determine the sub-contact stiffness and damping coefficient using the series of sub-contact overlapping with different orders. In scenarios of ellipse-wall/inter-ellipse collision, the equalized method tuned the cluster responses to closely match to the ground truths, with various errors commonly <1%. With the fourth-order series used, performance of the best-fit method was comparable to that of the equalized method, especially in the rebound velocity.



中文翻译:

基于离散元法的椭圆壁碰撞多球方法的过刚度和过阻尼问题

离散元法模拟中的椭圆可以通过多球方法下的一组子球或单粒子方法下的一个椭圆实体来建模。然而,由于多个子接触,与粒子响应(即地面实况)相比,集群响应过于僵硬和过阻尼。提出了均衡方法来解决这个问题,其中每个子接触的刚度和阻尼系数从地面实况中均等地减少了一个子接触数。或者,提出了最佳拟合方法来使用一系列具有不同阶次的子接触重叠来确定子接触刚度和阻尼系数。在椭圆壁/椭圆间碰撞的情况下,均衡方法调整​​集群响应以与基本事实紧密匹配,各种误差通常<1%。使用四阶序列时,最佳拟合方法的性能与均衡方法的性能相当,尤其是在回弹速度方面。

更新日期:2021-09-19
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