论文标题

关于给定功率的最大VAM:斜率,节奏,力和齿轮比例考虑

On maximizing VAM for a given power: Slope, cadence, force and gear-ratio considerations

论文作者

Bos, Len, Slawinski, Michael A., Stanoev, Theodore

论文摘要

VelocitàAscensionaleMedia(VAM)是量化骑自行车者的攀登能力的测量。它取决于自行车骑行者系统的地面速度和倾斜的斜率。为了最大程度地提高上升速度,对腕杆菌问题的解决方案确定斜线的最佳曲线是一条直线,它是具有恒定斜率的山丘。骑自行车的人可获得最大可获得的VAM值,随着斜坡的斜率而单调增加,但受最大可持续功率的限制。这些属性 - 源自标准数学模型来解释推动自行车所需的力量的理论 - 构成数学 - 物理学背景,可以在该背景下在该背景下在该背景下在最大的可持续功率的背景下对VAM最大化的各种策略进行检查,因为齿轮比和齿轮的比率都可以作为最大的可持续功率。最近建立的记录为这些分析结果提供了基于理论考虑的经验支持。

The velocità ascensionale media (VAM) is measurement that quantifies a cyclist's climbing ability. It depends on both the ground speed of a bicycle-cyclist system and the slope of an incline. To maximize the ascent speed, the solution to the brachistochrone problem determines that the optimal curve for the incline is a straight line, which is a hill with a constant slope. The maximum obtainable VAM value by a cyclist increases monotonically with the slope of the incline, but is limited by the maximum sustainable power. These properties -- which are theorems stemming from a standard mathematical model to account for the power required to propel a bicycle -- constitute a mathematical-physics background upon which various strategies for the VAM maximization can be examined in the context of the maximum sustainable power as a function of both the gear ratio and cadence. Recently established records provide an empirical support for these analytical results, which are based on theoretical considerations.

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