КОНТАКТНАЯ ЗАДАЧА ДЛЯ СФЕРИЧЕСКОЙ ОБОЛОЧКИ, ОПИРАЮЩЕЙСЯ НА ДВЕ ПЛОСКИЕ ПОВЕРХНОСТИ
КОНТАКТНАЯ ЗАДАЧА ДЛЯ СФЕРИЧЕСКОЙ ОБОЛОЧКИ, ОПИРАЮЩЕЙСЯ НА ДВЕ ПЛОСКИЕ ПОВЕРХНОСТИ
DOI:
https://doi.org/10.22337/2587-9618-2024-20-3-24-34Ключевые слова:
сферическая композитная оболочка; контактная задача; теория многокомпонентного анизотропного сухого тренияАннотация
Предложен эффективный численно-аналитический метод исследования силового состояния внутри пятен контакта упругих композитных сферических оболочек, опирающихся на две наклоненные под углом к друг другу плоские поверхности. Метод основан на построении функции влияния для оболочки в осесимметричной постановке, с последующим ее разложением в ряд Фурье по полиномам Лежандра и Гегенбауэра. Получена разрешающая система уравнений для соответствующих коэффициентов. Разработанная методика позволит провести более корректное исследования динамики различных робототехнических систем, основными управляемыми элементами которых являются упругие сферические оболочки, осуществляющие сложные кинематические движения по различным поверхностям. К числу этих систем, в частности, относится «робот-бабочка», основной управляемый элемент которого, тонкая сферическая оболочка, катящаяся с одновременным верчением и проскальзыванием по двум параллельным пластинам, как по рельсам.
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