6 citations · 26 across the 21 of their papers we have counts for
25 papers
On the brachistochrone problem for cycling ascents
Len Bos, Michael A. Slawinski, Raphaël A. Slawinski +1
VAM ({\it velocità ascensionale media}) is a measurement that quantifies a cyclist's climbing ability. We show that to minimize the time to attain a given height gain\, -- \,which…
On minimizing cyclists' ascent times: Part II
Len Bos, Michael A. Slawinski, Raphaël A. Slawinski +1
We formulate an optimization of a bicycle ascent time under the constraints of the average, maximum, and minimum powers. In contrast to the first part of this study, we do not rest…
On minimizing cyclists' ascent times
Len Bos, Michael A. Slawinski, Raphaël A. Slawinski +1
We prove that, given an average power, the ascent time is minimized if a cyclist maintains a constant ground speed regardless of the slope. Herein, minimizing the time is equivalen…
On technical considerations of UCI-regulated velodrome track design
Theodore Stanoev
A novel approach to velodrome design for UCI-regulated tracks is presented. The mathematical model uses differential geometry to form a three-dimensional ruled surface. The surface…
Modelling of a cyclist's power for time trials on a velodrome
Len Bos, Michael A. Slawinski, Raphaël A. Slawinski +1
We formulate a phenomenological model to study the power applied by a cyclist on a velodrome\, -- \,for individual timetrials\, -- \,taking into account the straights, circular arc…
Modelling of cyclist's power to overcome dissipative forces on a velodrome
Len Bos, Michael A. Slawinski, Raphaël Slawinski +1
We model the instantaneous power applied by a cyclist on a velodrome -- for individual pursuits and other individual time trials -- taking into account its straights, circular arcs…