Численное решение одной системы интегральных уравнений Фредгольма третьего рода в задаче об опорном давлении вблизи очистной выработки

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МРНТИ 52.01.77 №3 (2019г.) Адилбек Н.А., Шаихова Г.С., Журов В.В., Шегебаева Г.Е. Рассмотрена задача о напряжениях и смещениях наклонно–слоистого массива вблизи горной выработки, целиком расположенной в одном из породных слоев, когда выработка испытывает влияние очистных работ в угольном пласте. Это влияние учитывается путем задания системы нормальных и сдвигающих усилий на границе нижней слоистой полуплоскости с отверстием. Цель исследования: определить напряженное состояние слоистой полуплоскости, ослабленной отверствием круговой формы при заданных на границе произвольных нагрузках. Задача решается методом наложения комплексных потенциалов Колосова – Мусхелишвили и интегральных преобразований Фурье. На основе метода интегральных преобразований Фурье в теории упругости, получена система интегральных относительно нормальных и касательных контактных усилий для случае двух разнародных слоистых полупоскостей. Получены системы интегральных уравнений при решении задачи об опорном давлении на наклонно залегающий заглубленный угольный пласт вблизи очистной выработки.. Ключевые слова: массив, штрек, напряжения, забой, модель, комплексный потенциал, угольный пласт, узлы интегрирования.

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Создатель : Лариса Николаевна Гребцова

Создан : 22 августа 2024