Mathematical and numerical models of thermoelastic plates of complex configuration

  • № 4 (10) 2019

Страницы: 

133

 – 

138

Язык: английский

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Аннотация

В статье обсуждаются математические и численные модели термоупругих пластин сложной конфигурации. Определены основные уравнения двумерной термоупругости в квазистатическом утверждении, стационарной теплопроводности пластины; определена математическая модель термоупругих пластин. Вычислительный алгоритм для расчета магнитоупругих пластин сложной конфигурации разработан с использованием комбинации В.Л. Метод R-функции Рвачева и метод Бубнова-Галеркина. Описан вычислительный алгоритм расчета термоупругих пластин сложной конфигурации. Проведены вычислительные эксперименты для расчета термоупругих пластин сложной конфигурации. Результаты вычислительных экспериментов приведены в виде таблиц.

Mathematical and numerical models of thermoelastic plates of complex configuration are discussed in the paper. The basic equations are determined of two-dimensional thermoelasticity in a quasistatic statement, stationary thermal conductivity of a plate; a mathematical model of thermoelastic plates is determined. A computational algorithm for calculating magnetoelastic plates of complex configuration is developed using a combination of V.L. Rvachev Rfunction method and Bubnov-Galerkin method. A computational algorithm for calculating thermoelastic plates of complex configuration is described. Computational experiments were carried out to calculate thermoelastic plates of complex configuration. The results of computational experiments are given in the form of tables.

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