同平面定轴杆的碰撞与Konig’s定理的推广

Flat collision with fixed axis rod and the expansion of Konig’s theorem

Konig’s定理常应用于质点系的动能问题,如果确定了不同方向的等效质量和恢复系数,那么Konig’s定理同样也可以用于描述刚体系统动能.本文从球杆碰撞着手,讨论了Konig’s定理推广的可行性,以及在有摩擦刚体系统问题上的应用前景.

Konig＇s theorem is often applied in the kinetic energy problem of mass point system. If the effective masses along different directions and the coefficient of restitution are given, Konig＇s the- orem can also be used to describe the kinetic energy of rigid body system. In this paper, by analyzing the collision between ball and rod, we explore the feasibility of the expansion of the theorem and the potential application of the theorem in rigid body system with friction.