Métodos númericos para resolución de estrategias de carrera basadas en pacing o ritmo

Bycicle is a human traction vehicle thus its optimal dynamic depends on cyclist factors such as physical performance and muscular capacity. For this reason, in clyclism several strategies has been developed in order to complete a track in the minimum posible time, considering different variables as...

Full description

Autores:
Angulo Calderón, Manuel David
Tipo de recurso:
Trabajo de grado de pregrado
Fecha de publicación:
2020
Institución:
Universidad de los Andes
Repositorio:
Séneca: repositorio Uniandes
Idioma:
spa
OAI Identifier:
oai:repositorio.uniandes.edu.co:1992/51604
Acceso en línea:
http://hdl.handle.net/1992/51604
Palabra clave:
Ciclismo
Python (Lenguaje de programación para computadores)
Fuerza y energía
Biomecánica
Matrices (Matemáticas)
Matemáticas en procesamiento electrónico de datos
Cálculo numérico
Ingeniería
Rights
openAccess
License
https://repositorio.uniandes.edu.co/static/pdf/aceptacion_uso_es.pdf
Description
Summary:Bycicle is a human traction vehicle thus its optimal dynamic depends on cyclist factors such as physical performance and muscular capacity. For this reason, in clyclism several strategies has been developed in order to complete a track in the minimum posible time, considering different variables as incidence of wind, elevation profile and physiological parameters of the athlete. Actually, strategies of drag coefficient reduction, bycicle change and optimal power distribution also known as Pacing, which is the subject matter of this research. Two optimal control methods are introduced to analyze the pacing strategy behavior on constant and variable elevation profiles dnd by this way, analyze power, velocity and anaerobic energy reserve delivery. Consequently, the first method based on Matlab uses an the steepest descent resolution while the second one is developed on Pyomo which is a programming language rooted on Python. It is found several advantajes and disadvantajes between this two methods of resolution. While Pyomo is powerful in definition of minimum time problem statements Matlab can reduced optimal time by 1.96% but has to spent so much more computational resources.