Modelling of mechanical systems basing on interconnected differential and partial differential equations
DOI:
https://doi.org/10.14529/mmp170102Ключевые слова:
краевая задача, гибридная система дифференциальных уравнений, собственные значения.Аннотация
В данной статье рассматривается краевая задача для гибридной системы дифференциальных уравнений, представляющей собой обобщенную математическую модель систем взаимосвязанных твердых тел, прикрепленных упруго демпфирующими связями к стержню. Под гибридными системами дифференциальных уравнений понимается система дифференциальных уравнений, состоящая из обыкновенных дифференциальных уравнений и уравнений в частных производных. В качестве теоретических основ исследования краевой задачи для гибридной системы дифференциальных уравнений предлагается метод нахождения собственных значений краевой задачи. Сравнительный анализ численных расчетов, проведенных предложенным методом с расчетами проведенными другими способами, известными из литературы, показал достоверность и универсальность предлагаемого подхода.Библиографические ссылки
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