A model for three spheres in colinear impact
A model for three spheres in colinear impact
复制标题
共线碰撞中三个球体的模型
DOI：
10.1007/s004190000134
复制
发表时间：
2001
期刊：
影响因子：
--
通讯作者：
T. Atanacković
中科院分区：
文献类型：
--
作者：
D. Spasic;T. Atanacković
我们分析了一个弹性球的两个球体之间的粘附力作用的情况下，在休息接触的影响问题。利用Hertz理论的基本假设和约翰逊的弹性体间粘附模型，导出了该问题的微分方程组。这种方法确保了足够数量的方程，唯一地确定碰撞后的速度。通过数值积分，研究了描述粘附力影响的参数的意义。结果表明，碰撞后球体的分离和捕获行为模式是可预测的。经典的赫兹的情况下，三个球体的影响，得到了特殊值的引入参数。
We analyze the problem of an elastic sphere impacting on two spheres being in contact at rest for the case when adhesive forces act between the spheres. By use of the basic assumptions of Hertz's theory and Johnson's model of adhesion between elastic bodies, the differential equations of the problem are derived. This approach ensures a sufficient number of equations that uniquely determine the velocities after impact. By numerical integration, the significance of the parameters describing the influence of the adhesive forces is examined. It is shown that both separation and capture behavior patterns of the spheres after impact are predictable. The classical Hertz case for the three spheres in impact is obtained for special values of introduced parameters.