2021
DOI: 10.3390/app112110393
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One-Dimensional Mathematical Model for Kayak Propulsion

Abstract: The displacement of a sprint kayak can be described by a one-dimensional mathematical model, which, in its simplest case, is analogous to the free-fall problem with quadratic drag and constant propulsion. To describe realistic cases, it is necessary to introduce a propulsion capable of reproducing the characteristics of the kayak stroke, including periodicity, average force and effects of stroke frequency, among others. Addressing the problem in terms of a Fourier series allows us to separate the equation into… Show more

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Cited by 4 publications
(2 citation statements)
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“…The force on the paddle was evaluated for kayaking [11][12][13][14] and canoeing [15] but was not linked to the kinematics directly. On the contrary, Delgado [16] proposed a model for the evolution of the velocity of a kayak without experimental measurements of the force and the velocity.…”
Section: Introductionmentioning
confidence: 99%
“…The force on the paddle was evaluated for kayaking [11][12][13][14] and canoeing [15] but was not linked to the kinematics directly. On the contrary, Delgado [16] proposed a model for the evolution of the velocity of a kayak without experimental measurements of the force and the velocity.…”
Section: Introductionmentioning
confidence: 99%
“…Even if GPS and IMU systems are small and easy devices, they must be worn by the athlete or subject to obtain measurements. In this context, these modern devices have been employed to produce mathematical models able to describe the characteristics of kayak stroke in terms of periodicity and average strength, and the effects of these on stroke frequency [5]. Similarly, in [6], traditional measurement procedures were exploited to define statistical prediction methods such as linear recommendation scores, logistic regression, discriminant analysis, and a neural network for identifying talents in tennis.…”
mentioning
confidence: 99%