Hilbert-Twin – A Novel Hilbert Transform-Based Method To Compute The Elastic Modulus In High-Resolution Mechanical Spectroscopy HRMS

• Autorzy: Majewski M. , Magalas L. B.

Identyfikatory

DOI

10.1515/amm-2015-0266

Warianty tytułu

PL

Hilbert-Twin – nowa metoda obliczeń modułu sprężystości w wysokorozdzielczej spektroskopii mechanicznej HRMS

• Języki publikacji: EN

Abstrakty

EN

A novel Hilbert-twin (H-twin) method is introduced as an alternative method for the computation of the resonant frequency for exponentially damped free decays embedded in noise. We also present the comparison among the following methods used to compute the dynamic elastic modulus in solids: the parametric OMI (Optimization in Multiple Intervals), the Yoshida-Magalas (YM) interpolated discrete Fourier transform, the Hilbert-twin (H-twin), and discrete Fourier transform (DFT) methods. It is concluded that the OMI and YM methods are the best methods to compute the elastic modulus from discrete exponentially damped free-elastic decays embedded in unavoidable noise.

PL

W pracy przedstawiono nową metodę Hilbert-twin, którą opracowano do obliczeń częstotliwości rezonansowej wykładniczo tłumionych harmonicznych sygnałów odkształceń sprężystych próbki zawierających szum. Jest to pierwsza praca, która uwzględnia obecność i wpływ szumu na wyniki obliczeń modułu sprężystości metali i stopów metali. Porównano i przeanalizowano wyniki obliczeń dynamicznego modułu sprężystości uzyskanego z kilku metod: metody parametrycznej OMI (Optimization in Multiple Intervals), metody Yoshida-Magalas (YM) opartej na interpolowanej dyskretnej transformacie Fouriera, metody Hilbert-twin (H-twin) oraz dyskretnej transformaty Fouriera (DFT). Z przeprowadzonych badań wynika, że metody OMI i YM są najlepszymi metodami estymacji modułu sprężystości z dyskretnych sygnałów odkształceń sprężystych materiałów (wykładniczo tłumionych drgań swobodnych) zawierających szum.

Słowa kluczowe

EN

elastic modulus; mechanical spectroscopy; Hilbert transform; instantaneous frequency; interpolated discrete Fourier transform; Fourier transform

PL

moduł sprężystości; spektroskopia mechaniczna; transformacja Hilberta; częstotliwość chwilowa; interpolowana dyskretna transformata Fouriera; transformata Fouriera

• Wydawca: Institute of Metallurgy and Materials Science of Polish Academy of Sciences ; Committee of Materials Engineering and Metallurgy of Polish Academy of Sciences
• Czasopismo: Archives of Metallurgy and Materials
• Rocznik: 2015
• Tom: Vol. 60, iss. 2A
• Strony: 1099--1103
• Opis fizyczny: Bibliogr. 22 poz., rys., wykr.

Twórcy

autor

Majewski M.

• AGH University of Science and Technology, Faculty of Metals Engineering and Industrial Computer Science, al. A. Mickiewicza 30, 30-059 Kraków, Poland

autor

Magalas L. B.

• AGH University of Science and Technology, Faculty of Metals Engineering and Industrial Computer Science, al. A. Mickiewicza 30, 30-059 Kraków, Poland

Bibliografia

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Uwagi

EN

This work was supported by the National Science Centre (NCN) in Poland under grant No. N N507 249040