Kooi B W
Faculty of Biology, Free University of Amsterdam, The Netherlands.
J Sports Sci. 1998 Nov;16(8):721-31. doi: 10.1080/026404198366353.
A mathematical model of the flight of the arrow during its discharge from a bow was proposed by Pekalski (1990). His description of the model was incomplete. In this paper, I give a full description of the model. Furthermore, I propose some improvements that make his model more consistent with reality. One achievement is the modelling of contact of the arrow and grip; the pressure button is modelled as a unilateral elastic support. The acceleration force acting upon the arrow during the launch is predicted by an advanced mathematical model of bow dynamics. There is a satisfactory conformity of the simulation and experimental results. The new model predicts that the arrow leaves the pressure button before it leaves the string, as reported previously. The ability to model arrow dynamics can be used to improve the adjustment of the bow-arrow system for optimal performance.
佩卡尔斯基（1990年）提出了箭从弓上射出时飞行的数学模型。他对该模型的描述并不完整。在本文中，我给出了该模型的完整描述。此外，我还提出了一些改进措施，使他的模型更符合实际情况。一项成果是对箭与握把接触的建模；压力按钮被建模为单侧弹性支撑。发射过程中作用在箭上的加速力由先进的弓动力学数学模型预测。模拟结果与实验结果有令人满意的一致性。正如之前所报道的，新模型预测箭在离开弦之前先离开压力按钮。箭动力学建模能力可用于改进弓 - 箭系统的调整以实现最佳性能。
