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Mathematical Model of Horse and Rider Interaction during Horse Jumping

机译：马跳跃期间马和骑手相互作用的数学模型

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摘要

To understand the horse-human interaction, their movement during trot are successfully modeled by spring-damper-mass (SDM) models. However, whether the SDM models are applicable to jump is not clear since jump is not an oscillatory. To examine the applicability of the SDM models, we evaluated the prediction ability of the two SDM models, an SDM with a forcing function (Model 1) and an SDM with an active spring-damper system (Model 2), using the trajectories of the centers of gravity of the horse and the rider during jump collected from videos, which include canter and jump. As a result, Both Models 1 and 2 succeeded to predict the observed trajectories for the canter data, however, only Model 2 succeeded during jump for the jump data. This implies that the rider changes its mechanical property during jump.
机译：要了解马人类互动，他们在跑步期间的运动是由弹簧阻尼器质量（SDM）模型成功建模的。但是，由于跳跃不是振荡，因此SDM模型是否适用于跳跃并不清楚。为了检查SDM模型的适用性，我们评估了两个SDM模型的预测能力，具有强制功能（型号1）的SDM和带有活动弹簧阻尼系统（型号2）的SDM，使用轨迹从视频收集的跳跃期间，马的重力和骑手，包括慢跑和跳跃。结果，两个模型1和2成功地预测了慢慢数据的观察到的轨迹，然而，在跳跃数据跳转期间只有模型2成功。这意味着骑手在跳转期间改变其机械性质。

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