Pontryagin's maximum principle and optimization of the flight phase in ski jumping

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15510%2F09%3A00011082" target="_blank" >RIV/61989592:15510/09:00011082 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Pontryagin's maximum principle and optimization of the flight phase in ski jumping

Popis výsledku v původním jazyce

There are several factors (the initial ski jumper's body position and its changes at the transition to the flight phase, the magnitude and the direction of the velocity vector of the jumper center of mass, the magnitude of the aerodynamic drag and lift forces etc.), which determine the trajectory of the jumper-ski system along with the total distance of jump. The objective of this paper is to bring out a method based on Pontryagin's maximum principle, which allows us to obtain a solution of the optimization problem for flight style control with three constrained control variables - angle of attack (), body-ski angle (), ski-opening angle (V). The flight distance was used as the optimality criterion. The borrowed regression function was taken as the source of information about the dependence of the drag (D) and lift (L) area on control variables with tabulated regression coefficients. The trajectories of the reference and optimized jumps were compared with the K = 125 m jumping hill pro

Název v anglickém jazyce

Pontryagin's maximum principle and optimization of the flight phase in ski jumping

Popis výsledku anglicky

There are several factors (the initial ski jumper's body position and its changes at the transition to the flight phase, the magnitude and the direction of the velocity vector of the jumper center of mass, the magnitude of the aerodynamic drag and lift forces etc.), which determine the trajectory of the jumper-ski system along with the total distance of jump. The objective of this paper is to bring out a method based on Pontryagin's maximum principle, which allows us to obtain a solution of the optimization problem for flight style control with three constrained control variables - angle of attack (), body-ski angle (), ski-opening angle (V). The flight distance was used as the optimality criterion. The borrowed regression function was taken as the source of information about the dependence of the drag (D) and lift (L) area on control variables with tabulated regression coefficients. The trajectories of the reference and optimized jumps were compared with the K = 125 m jumping hill pro

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

AK - Sport a aktivity volného času

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2009

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Acta Universitatis Palackianae Olomucensis. Gymnica

ISSN

1212-1185

e-ISSN

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Svazek periodika

39

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

8

Strana od-do

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Kód UT WoS článku

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EID výsledku v databázi Scopus

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