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玻璃弹珠中的趣味动力学

MULTI-RIGID-BODY DYNAMICS SIMULATION WITH CONTACT AND FRICTION

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【作者】 汤波李俊峰

【Author】 TANG Bo LI Junfeng (Department of Astronautics & Aeronautics, Tsinghua University, Beijing 100084, China)

【机构】 清华大学航天航空系清华大学航天航空系 北京 100084北京 100084

【摘要】 用手去推倾斜的V形槽中排成一列的刚体小球,实验表明,小球的运动具有不稳定性,即初始球 效为奇数时,第2个小球(从下向上数)会首先从V形槽中被挤出;而球数为偶数时,第3个小球会首先被挤 出.对于这种有趣的现象,考虑接触间存在库仑摩擦,进行了数值模拟,得到了与实验完全一致的结果,并得 到了小球转动的一些规律.最后根据实验以及数值模拟结果总结了小球被挤出难易程度与模型参数之间的一些 关系.

【Abstract】 Towards a list of rigid balls in inclined V-trough, experiments indicate that the motion shows some instability, namely, the second ball will be extruded from the V-trough when the initial number of balls is odd, while the third will be extruded when the initial number is even. Considering the column friction between contacts, numerical simulations were made for this interesting phenomenon. The results are consistent with experiments very well, thus leading to a few rules in rotation of balls. In the end, the relation between parameters and the degree at which a ball is subjected to extrusion are summarized according to experiments and numerical simulations.

【关键词】 刚体动力学小球接触摩擦
【Key words】 rigid bodydynamicsballcontactfriction
  • 【文献出处】 力学与实践 ,Mechanics and Engineering , 编辑部邮箱 ,2005年02期
  • 【分类号】O313
  • 【下载频次】169
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