Scientific notes of P. F. Lesgaft University Scientific notes of P. F. Lesgaft University Ученые записки университета имени П.Ф. Лесгафта 1994-4683 2308-1961 96482 10.5930/1994-4683-2025-163-171 Теория и методика спорта Theory and methodology of sports Теория и методика спорта Mathematical modeling of the aerodynamic characteristics of athletes during the acceleration phase while performing a ski jump Математическое моделирование аэродинамических характеристик спортсменов в фазе разгона при выполнении прыжка на лыжах с трамплина https://orcid.org/0000-0002-1411-5453 Шестаков Михаил Петрович Shestakov Mihail Petrovich

доктор педагогических наук;

doctor of pedagogical sciences;

 Щеляев Александр Евгеньевич Schelyaev Aleksandr Evgen'evich Фишер Юлия Владимировна Fisher Yuliya Vladimirovna Всероссийский научно-исследовательский Институт Физической Культуры И Спорта Moscow RU Federal Scientific Center of Physical Culture and Sports Moscow RU ООО «ТЕСИС» Москва Россия TESIS Ltd Moscow Russian Federation ООО «ТЕСИС» Москва Россия TESIS Ltd Moscow Russian Federation 21 03 2025 21 03 2025 3 163 171 13 01 2025 10 02 2025 https://uchzapiski.lesgaft.spb.ru/en/nauka/article/96482/view

Цель исследования – на основе разработки математических моделей изучить взаимодействие спортсмена и воздушной среды и определить аэродинамические характеристики прыгуна на лыжах на стадии разгона. Методы и организация исследования. В исследовании приняли участие прыгуны с трамплина высокой квалификации. В ходе исследования применяли инструментальные методики 3-d анализа Qualisys, тензоплатформы AMTI, сканер тела TC2 3D Body Scanner NX-16, лазерный сканер FARO «Focus-3D», а также пакеты для моделирования FlowVision и SIMULIA Abaqus. Результаты исследования и выводы. В ходе работы созданы численные модели спортсменов в динамике выполнения прыжка с трамплина на стадии разгона для определения аэродинамических характеристик. На основании полученных в исследовании результатов расчета движения воздушного потока и сил трения на модель системы «спортсмен-лыжи» видно, что основной вклад в силу лобового сопротивления для трех вариантов рассмотренных разгонных поз вносит сила давления, создаваемая корпусом лыжника, далее следует сила трения. Силы давления и трения, создаваемые лыжами на этапе разгона, незначительны. Установлено, что для снижения силы сопротивления необходимо в большей степени уделить внимание снижению давления на спортсмена, чем снижать силу трения воздушного потока.

The purpose of the study – to study the interaction between the athlete and the air environment based on the development of mathematical models and to determine the aerodynamic characteristics of the ski jumper during the acceleration phase. Research methods and organization. The study involved highly qualified ski jumpers. Instrumental methods of 3-D analysis using Qualisys, AMTI tensoplatforms, TC2 3D Body Scanner NX-16, FARO "Focus-3D" laser scanner, as well as modeling packages FlowVision and SIMULIA Abaqus were employed during the research. Research results and conclusions. During the work, numerical models of athletes were created to analyze the dynamics of ski jumping during the acceleration phase in order to determine aerodynamic characteristics. Based on the results obtained from the study of airflow movement and friction forces on the "athlete-skis" system model, it is evident that the primary contribution to drag force for the three considered acceleration positions is made by the pressure force generated by the skier's body, followed by the friction force. The pressure and friction forces generated by the skis during the acceleration phase are negligible. It has been established that to reduce drag force, greater attention should be paid to reducing pressure on the athlete rather than reducing the friction force of the airflow.

 аэродинамика прыжки на лыжах с трамплина моделирование FlowVision aerodynamics ski jumping modeling FlowVision

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