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Моделирование нестационарного распределения тепла в цепочке со случайными массами

выпускная квалификационная работа бакалавра

Моделирование нестационарного распределения тепла в цепочке со случайными массами

Abstract

В данной работе рассмотрен подход к моделированию нелинейной бесконечной одномерной цепочки. Включение в модель случайных масс позволяет точнее описывать реальные материалы. Как показали компьютерные эксперименты, выравнивание температуры в цепочке с различными массами происходит быстрее. Варьирование нелинейности влияет на распределение температуры аналогично, как для классической цепочки.

In this paper, we consider an approach to modeling a nonlinear infinite one-dimensional chain. The inclusion of random masses in the model makes it possible to describe real materials more accurately. As shown by computer experiments, the temperature equalization in the chain with different masses is faster. Varying the nonlinearity affects the temperature distribution in the same way as for the classical chain.

Keywords

temperature distribution, one-dimensional chain, распределение температуры, nonlinear chain, нелинейная цепочка, random masses, случайные массы, одномерная цепочка

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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Average
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