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1

Application of computational mechanics approaches for increasing of tribosystem operational parameters by using plasma hardening method

Kopylov Viacheslav, Kuzin Oleg, Kuzin Nickolai

Journal of Applied Mathematics and Computational Mechanics

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2021

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Vol. 20, nr 1

61--70

EN

On the basis of the mathematical model of the continual description of functionalgradient metal systems, taking into account their structure, a computational computer scheme has been developed that makes it possible to assess the stress-strain state of local volumes of parts taking into account their spatial inhomogeneity. With the use of modern software components of computational mechanics - FEniCS finite element analysis package and its implementation in Python, the optimal structural characteristics of wheelsets of railway locomotive tires after plasma treatment have been established. It is shown that, depending on the value of the load, hardening of products must be carried out to a depth of 4.5 mm; with a further increase in thickness, the parameters of operational strength do not change.

2

Finite Element Modelling of a Flow-Acoustic Coupling in Unbounded Domains

Łojek Paweł, Czajka Ireneusz, Gołaś Andrzej

Archives of Acoustics

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2020

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Vol. 45, No. 4

633--645

EN

One of the main issues of design process of HVAC systems and ventilation ducts in particular is correct modelling of coupling of the flow field and acoustic field of the air flowing in such systems. Such a coupling can be modelled in many ways, one of them is using linearised Euler equations (LEE). In this paper, the method of solving these equations using finite element method and open source tools is decribed. Equations were transformed into functional and solved using Python language and FEniCS software. The non-reflective boundary condition called buffer layer was also implemented into equations, which allowed modelling of unbounded domains. The issue, influence of flow on wave propagation, could be adressed using LEE equations, as they take non-uniform mean flow into account. The developed tool was verified and results of simulations were compared with analytical solutions, both in one- and two-dimensional cases. The obtained numerical results are very consistent with analytical ones. Furthermore, this paper describes the use of the developed tool for analysing a more complex model. Acoustic wave propagation for the backward-facing step in the presence of flow calculated using Navier-Stokes equations was studied.

3

Solution of the complex-valued Helmholtz equation using a dedicated finite element solver

Chaber B., Szmurło R., Starzyński J.

Przegląd Elektrotechniczny

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2017

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R. 93, nr 3

171--174

EN

This paper describes a numerical FEM model for solving the complex-valued, vector Helmholtz wave equation. The model describes phenomena of electromagnetic wave propagation for high frequencies. The presented model can be used in a larger system seeking an efficient design parameters of electromagnetic energy transfer for high power pulse generation device.

PL

W niniejszym artykule opisujemy zbudowany model numeryczny MES rozwiązujący zespolone, wektorowe równanie falowe Helmholtza. Pozwala on na modelowanie zjawisk propagacji fal elektromagnetycznych wysokich częstotliwości. Zaprezentowany model może zostać wykorzystany w systemie poszukującym optymalnego projektu urządzenia służącego do przesyłu energii w postaci fali elektromagnetycznej, do generacji silnych impulsów elektromagnetycznych.