Critical Assessment Of The Issues In The Application Of Hilbert Transform To Compute The Logarithmic Decrement
The parametric OMI (Optimization in Multiple Intervals), the Yoshida-Magalas (YM) and a novel Hilbert-twin (H-twin) methods are advocated for computing the logarithmic decrement in the field of internal friction and mechanical spectroscopy of solids. It is shown that dispersion in experimental point...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2015-06-01
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| Series: | Archives of Metallurgy and Materials |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/amm.2015.60.issue-2/amm-2015-0267/amm-2015-0267.xml?format=INT |
| _version_ | 1818777435092549632 |
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| author | Majewski M. Magalas L.B. |
| author_facet | Majewski M. Magalas L.B. |
| author_sort | Majewski M. |
| collection | DOAJ |
| description | The parametric OMI (Optimization in Multiple Intervals), the Yoshida-Magalas (YM) and a novel Hilbert-twin (H-twin) methods are advocated for computing the logarithmic decrement in the field of internal friction and mechanical spectroscopy of solids. It is shown that dispersion in experimental points results mainly from the selection of the computing methods, the number of oscillations, and noise. It is demonstrated that conventional Hilbert transform method suffers from high dispersion in internal friction values. It is unequivocally demonstrated that the Hilbert-twin method, which yields a ‘true envelope’ for exponentially damped harmonic oscillations is superior to conventional Hilbert transform method. The ‘true envelope’ of free decaying strain signals calculated from the Hilbert-twin method yields excellent estimation of the logarithmic decrement in metals, alloys, and solids. |
| first_indexed | 2024-12-18T11:28:47Z |
| format | Article |
| id | doaj.art-eea036361cae4b5e81eb425675a875f3 |
| institution | Directory Open Access Journal |
| issn | 2300-1909 |
| language | English |
| last_indexed | 2024-12-18T11:28:47Z |
| publishDate | 2015-06-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Metallurgy and Materials |
| spelling | doaj.art-eea036361cae4b5e81eb425675a875f32022-12-21T21:09:39ZengPolish Academy of SciencesArchives of Metallurgy and Materials2300-19092015-06-016021105110810.1515/amm-2015-0267amm-2015-0267Critical Assessment Of The Issues In The Application Of Hilbert Transform To Compute The Logarithmic DecrementMajewski M.0Magalas L.B.1 AGH UNIVERSITY OF SCIENCE AND TECHNOLOGY, FACULTY OF METALS ENGINEERING AND INDUSTRIAL COMPUTER SCIENCE, AL. A. MICKIEWICZA 30, 30-059 KRAKÓW, POLAND AGH UNIVERSITY OF SCIENCE AND TECHNOLOGY, FACULTY OF METALS ENGINEERING AND INDUSTRIAL COMPUTER SCIENCE, AL. A. MICKIEWICZA 30, 30-059 KRAKÓW, POLANDThe parametric OMI (Optimization in Multiple Intervals), the Yoshida-Magalas (YM) and a novel Hilbert-twin (H-twin) methods are advocated for computing the logarithmic decrement in the field of internal friction and mechanical spectroscopy of solids. It is shown that dispersion in experimental points results mainly from the selection of the computing methods, the number of oscillations, and noise. It is demonstrated that conventional Hilbert transform method suffers from high dispersion in internal friction values. It is unequivocally demonstrated that the Hilbert-twin method, which yields a ‘true envelope’ for exponentially damped harmonic oscillations is superior to conventional Hilbert transform method. The ‘true envelope’ of free decaying strain signals calculated from the Hilbert-twin method yields excellent estimation of the logarithmic decrement in metals, alloys, and solids.http://www.degruyter.com/view/j/amm.2015.60.issue-2/amm-2015-0267/amm-2015-0267.xml?format=INTLogarithmic decrementinternal frictionmechanical spectroscopyHilbert transformenvelopeinterpolated discrete Fourier transform DFT |
| spellingShingle | Majewski M. Magalas L.B. Critical Assessment Of The Issues In The Application Of Hilbert Transform To Compute The Logarithmic Decrement Archives of Metallurgy and Materials Logarithmic decrement internal friction mechanical spectroscopy Hilbert transform envelope interpolated discrete Fourier transform DFT |
| title | Critical Assessment Of The Issues In The Application Of Hilbert Transform To Compute The Logarithmic Decrement |
| title_full | Critical Assessment Of The Issues In The Application Of Hilbert Transform To Compute The Logarithmic Decrement |
| title_fullStr | Critical Assessment Of The Issues In The Application Of Hilbert Transform To Compute The Logarithmic Decrement |
| title_full_unstemmed | Critical Assessment Of The Issues In The Application Of Hilbert Transform To Compute The Logarithmic Decrement |
| title_short | Critical Assessment Of The Issues In The Application Of Hilbert Transform To Compute The Logarithmic Decrement |
| title_sort | critical assessment of the issues in the application of hilbert transform to compute the logarithmic decrement |
| topic | Logarithmic decrement internal friction mechanical spectroscopy Hilbert transform envelope interpolated discrete Fourier transform DFT |
| url | http://www.degruyter.com/view/j/amm.2015.60.issue-2/amm-2015-0267/amm-2015-0267.xml?format=INT |
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