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Integral transforms and their applications
Béreš, Lukáš ; Štarha, Pavel (oponent) ; Franců, Jan (vedoucí práce)
This bachelor's thesis deals with integral transforms and their applications. Its aim is to get together basic properties of Laplace and Fourier transforms and then illustrate their application in solving partial dierential equations, by calculating specic tasks with numerical experiments in MATLAB software.
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Analýza dynamických účinků působících na výhybkové konstrukce
Vukušičová, Daniela ; Vukušič, Ivan (oponent) ; Smutný, Jaroslav (vedoucí práce)
Práce je zaměřena na měření a analýzu dynamických účinků ve výhybkách. V rámci práce byly vytipovány dvě výhybky v různém stádiu opotřebení, pozornost byla zaměřena především na oblast srdcovky výhybky, kde dochází k největším dynamickým účinkům. Cílem práce je srovnání výhybek z hlediska dynamického chování a stanovení vlivu opotřebení na dynamické účinky. Součástí práce je sestavení metodiky měření a návrh vhodného matematického aparátu pro vyhodnocení dynamických dějů ve výhybkách.
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A note on tension spline
Segeth, Karel
Spline theory is mainly grounded on two approaches: the algebraic one (where splines are understood as piecewise smooth functions) and the variational one (where splines are obtained via minimization of quadratic functionals with constraints). We show that the general variational approach called smooth interpolation introduced by Talmi and Gilat covers not only the cubic spline but also the well known tension spline (called also spline in tension or spline with tension). We present the results of a 1D numerical example that show the advantages and drawbacks of the tension spline.
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Analysis of thermal plasma radiation by Fourier transform, wavelet analysis and phase portraits
Gruber, Jan ; Šonský, Jiří ; Hlína, Jan
Combination of various methods for signal analysis, including Fourier transform, wavelet analysis and time-embeddings provide alternate views on thermal plasma dynamics. We have recorded and analyzed radiation of cutting plasma torch during the whole cathode life-cycle (from the new unworn cathode to the cathode failure). Changes in dynamics during cathode lifecycle lead to regular oscillations expressed in signal spectra, in sudden discontinuities caused by released molten particles detected by wavelet analysis and overall dynamics change expressed in reconstructed phase portraits by time-embeddings. We present all these various views on changing dynamics to illustrate complexity of this dynamics.
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Numerical modeling of dispersion phenomena in thick plate
Hora, Petr ; Michálek, J.
Paper report on a technique for analysis of propagating multimode signals. The method involves a 2-D Fourier transformation of the time history of waves recieved at a series of equally spaced positions along the propagation path. Output of the transform being presented using an isometric projection which gives a 3-D view of the wave number dispersion curves. The time history of waves was obtained by the FE code, MARC.
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