Optimal trajectories of a point moving under the centrifugal inertial force
DOI:
https://doi.org/10.15587/1729-4061.2012.5612Keywords:
Centrifugal inertia force, functional, Euler equation, optimum formAbstract
Method of determining of point’s trajectory that minimizes motion time under the action of centrifugal force of inertia is stated (brachistochrone problem for centrifugal force). The results of the theory application for finding of the optimum form of ground-thrower blade are presentedReferences
- Семків О.М., Шатохін В.М. Розрахунок робочого органа ланцюгового грунтометального механізму // Міжвідомчий науково-технічний збірник “Прикладна геометрія та інженерна графіка”. Випуск 87.– К.: КНУБА, 2011.–С. 303-312.
- Попова А.М., Шатохін В.М. Дослідження руху частки ґрунту по лопатці: результати комп’ютерних експериментів // XІV Міжнародна науково-практична конференція. Сучасні проблеми геометричного моделювання: Тези доповідей.– Україна, Мелітополь.– 2012.– С. 18.
- Семків О.М., Попова А.М. Дослідження траєкторії руху частки ґрунту після її вильоту з робочої поверхні лопатки роторного ґрунтометальника // XІV Міжнародна науково-практична конференція. Сучасні проблеми геометричного моделювання: Тези доповідей.– Україна, Мелітополь.– 2012.–С. 20.
- Эльсгольц Л.В. Дифференциальные уравнения и вариационное исчисление.–М.: Наука, 1969.– 279 с.
- Геронимус Я.Л., Голинский Б.Л. Вариационные методы решения задач оптимизации: Учеб. пособие.– Харьков: Харьк. авиац. ин-т, 1987.– 114 с.
- Лойцянский Л.Г., Лурье А.И. Курс теоретической механики. В 2-х томах. т. II. Динамика. –М.: Наука, 1983.– 640 с.
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Copyright (c) 2014 Володимир Михайлович Шатохін, Наталія Володимирівна Шатохіна
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