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Баланс потока энергии в Ð´Ð¸ÑÐºÑ€ÐµÑ‚Ð½Ñ‹Ñ Ð¸ ÐºÐ¾Ð½Ñ‚Ð¸Ð½ÑƒÐ°Ð»ÑŒÐ½Ñ‹Ñ ÑÑ€ÐµÐ´Ð°Ñ

выпускная квалификационная работа бакалавра

Баланс потока энергии в Ð´Ð¸ÑÐºÑ€ÐµÑ‚Ð½Ñ‹Ñ Ð¸ ÐºÐ¾Ð½Ñ‚Ð¸Ð½ÑƒÐ°Ð»ÑŒÐ½Ñ‹Ñ ÑÑ€ÐµÐ´Ð°Ñ

Abstract

В данной работе исследуется влияние смещения точек среды на распространение энергии в ней. В рамках этого исследования были рассмотрены следующие одномерные модели сред: 1) Континуальная модель. 2) Дискретная модель с линейной силой взаимодействия частиц. 3) Дискретная модель с нелинейной силой взаимодействия частиц. В результате были получены соотношения, описывающие движения энергетических центров возмущений в этих средах. Показано, что если перемещения частиц среды значительны, то необходимо учитывать перенос энергии, вызванный механическим смещением частиц среды. Введены понятия импульсного момента и импульсного центра возмущения, с помощью которых на основании численного моделирования предложен способ приблизительного определения скорости энергетического центра возмущения в случае ударного нагружения. Показано, что такой способ может быть использован как для сред с линейной силой взаимодействия частиц, так и для сред с нелинейной силой взаимодействия частиц.

In this work we investigate the effect of displacement of points in the medium on the propagation of energy in it. As part of this study, the following one-dimensional models of media were considered: 1) Continuous elastic model. 2) Discrete model with linear force of interaction of particles. 3) Discrete model with nonlinear force of interaction of particles. As a result, the relations describing movements of energy centers of disturbances in these media have been obtained. It is shown that if displacements of particles of the medium are significant, it is necessary to take into account the energy transfer caused by mechanical displacement of particles of the medium. The concepts of impulse moment and impulse center of perturbation are introduced, with the help of which, based on numerical modeling, the method of approximate determination of the energy center of perturbation, in the case of shock loading is proposed. It is shown that this method can be used both for media with linear particle interaction force and for media with nonlinear particle interaction force.

Keywords

баланс потока энергии, energy center, распространение энергии, энергетический центр, динамика массы и энергии, numerical simulation, energy propagation, mass and energy dynamics, численное моделирование, energy flow balance

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selected citations
These citations are derived from selected sources.
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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