RT info:eu-repo/semantics/article T1 One-Dimensional Mathematical Model for Kayak Propulsion A1 Delgado Bueno, Diego A1 Ruiz, Camilo A2 Matematica Aplicada K1 Matemáticas K1 Kayak propulsion K1 Analytic model K1 Mathematical model K1 Fourier series K1 Periodic propulsion K1 Reduced dimensionality models K1 Applied physics K1 Differential equations AB [EN] 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 two parts, one of which is equivalent to the constant propulsion case and results in an asymptotic expression, while the second accounts for the periodic contributions. This approach allows us to solve several cases of interest: to propose a quadrature rule for the asymptotic part that allows fast estimations; to compare results with the literature; and finally to propose a general mathematical method for this problem which could help to understand some key strategies in the kayak race. PB MDPI LK https://hdl.handle.net/10612/18936 UL https://hdl.handle.net/10612/18936 NO Delgado, D., & Ruiz, C. (2021). One-dimensional mathematical model for kayak propulsion. Applied Sciences (Switzerland), 11(21). https://doi.org/10.3390/APP112110393 DS BULERIA. Repositorio Institucional de la Universidad de León RD 25-jun-2024