Training Evaluation Model of Outdoor Cross-Country Sports Tourism Project Based on Lagrangian Differential Equation Calculation
- Autores: Zhengchang Li, Feng Wang
- Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 8, Nº. 1, 2023, págs. 3019-3030
- Idioma: inglés
- DOI: 10.2478/amns.2023.1.00016
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Resumen
This paper uses Lagrangian differential equations to study the effect of road roughness on the average speed of outdoortrail running. The purpose is to analyze the dynamic model of off-road sports. In this paper, the longitudinal and cross-sectional data of the road are collected and pre-processed, mainly on gravel pavement. Then this paper proposes anapproximate formula for the relationship between running speed and road surface roughness. Furthermore, this paper usesthe Lagrangian differential equation to solve the road non-uniformity and running speed. Finally, this paper presents anoff-road speed prediction method on random uneven road conditions. Finally, the simulation experiments demonstratethat the model based on the Lagrangian differential equation can comprehensively reflect various factors affecting theaverage outdoor off-road speed. The power spectral density of each sampling point of the model, load input, etc., are allmeaningful. This model meets the needs of simulation experiments.
