АНАЛИТИЧЕСКИЙ МЕТОД РЕШЕНИЯ ТРЕХМЕРНОЙ НЕОСЕСИММЕТРИЧНОЙ СМЕШАННОЙ ГРАНИЧНОЙ ЗАДАЧИ И ЕГО ПРИЛОЖЕНИЕ К РАСЧЕТУ ПРЯМОУГОЛЬНОЙ ПЛИТЫ НА УПРУГОМ ПОЛУПРОСТРАНСТВЕ An analytical method for solving 3D non-axisymmetry mixed boundary problem and its application in analysis of rectangle plate resting on an elastic half space

Li An Wang, Jianchang Zhao

Аннотация


Решается задача о плите на однородном упругом полупространстве под действием распределенной нагрузки с использованием теоремы ортогональности Гильберта и метода Шмидта. Предлагается метод решения трехмерной неосесимметричной смешанной краевой задачи. В качестве основной неизвестной величины берется контактное напряжение между плитой и фундаментом; затем для решения двойного интегрального уравнения используются преобразование Фурье и метод Шмидта. В результате получены поля смещений и напряжений всей системы. Результаты ис-
следования сопоставлены с существующими решениями. Представлено несколько численных примеров, демонстрирующих применимость на практике.

Полный текст статьи публикуется в английской версии
журнала «Soil Mechanics and Foundation Engineering” vol.59, No.2


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