论文标题
关于赛车剂的自行车能力建模：第一部分：个人追求的配方
On modelling bicycle power for velodromes: Part I: Formulation for individual pursuits
论文作者
论文摘要
对于移动的自行车，可以将功率建模为响应对自行车循环系统质量中心的推进。在赛车体上，精确的功率建模需要区分车轮的轨迹和质量中心的轨迹。我们制定并检查一个个人助长模型，该模型考虑到上述区别。在此过程中，我们提供了被调用的物理原理和数学推导的详细信息，重点是它们的局限性。我们假设一个赛车体由两个平行的笔直和两个半圆形弧组成。我们忽略了沿笔直的轨道倾斜度的影响，并假设沿曲线的轨道倾斜度是恒定的。对于任何一个段，我们考虑两个不同的黑线速度。对于后者，倾斜角度的表达是基于骑自行车者的非稳态框架得出的。在该模型量化的结论中，一个事实是，一种恒定的态度方法不能最大程度地减少所需的能力。
For a moving bicycle, the power can be modelled as a response to the propulsion of the centre of mass of the bicycle-cyclist system. On a velodrome, an accurate modelling of power requires a distinction between the trajectory of the wheels and the trajectory of the centre of mass. We formulate and examine an individual-pursuit model that takes into account the aforementioned distinction. In doing so, we provide details of the invoked physical principles and mathematical derivations, with an emphasis on their limitations. We assume that a velodrome consists of two parallel straights and two semicircular arcs. We neglect the effects of the track inclination along the straights and assume the track inclination along the curves to be constant. For either segment, we consider two distinct black-line speeds. For the latter, the lean-angle expression is derived based on a noninertial frame of the cyclist. Among conclusions quantified by this model is the fact that a constant-cadence approach to an individual pursuit does not minimize the required power.
