论文标题
建模充满气球的弹跳
Modeling the bounce of a gas-filled ball
论文作者
论文摘要
恢复原状系数$ε$是弹跳时保留的能量的特征，并且可以在``家里''实验中轻松测量。对于诸如篮球之类的薄壁气填充球，我们构建了一个简单的两个参数模型，以描述$ε$如何随球内压力而变化。与数据的比较显示出良好的一致性。有了其他假设，该模型还可以预测$ε$随温度变化的变化。与网球数据的比较显示出令人惊讶的良好一致性。
The coefficient of restitution $ε$ characterizes the energy retained when a ball bounces, and can easily be measured in an ``at home'' experiment. For thin-walled gas-filled balls such as basketballs, we construct a simple two parameter model to describe how $ε$ changes as a function of the ball's internal pressure. A comparison with data shows good agreement. With additional assumptions, the model also predicts how $ε$ changes as a function of temperature. A comparison with tennis ball data shows surprisingly good agreement.
