Statistical Characteristics of the Damped Vibrations of a String Excited by Stochastic Forces
Our theoretical study aims at finding some statistic parameters characterizing the damped vibrations of a string excited by stochastic impulses. We derive the dependence of these parameters on the parameters of the string as well as on the stochastic distributions of the impulse...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research Polish Academy of Sciences
2014-09-01
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| Series: | Archives of Acoustics |
| Subjects: | |
| Online Access: | https://acoustics.ippt.pan.pl/index.php/aa/article/view/599 |
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| author | Marian JABŁOŃSKI Agnieszka OZGA |
| author_facet | Marian JABŁOŃSKI Agnieszka OZGA |
| author_sort | Marian JABŁOŃSKI |
| collection | DOAJ |
| description | Our theoretical study aims at finding some statistic
parameters characterizing the damped vibrations of a string excited by
stochastic impulses. We derive the dependence of these parameters on the
parameters of the string as well as on the stochastic distributions of the
impulse magnitude, and on the place of the action. We also carry out a numerical
simulation verifying the derived mathematical model and interpret the
differences between the results obtained in simulation and the mathematical
calculations. This study is the fourth stage of a research aimed at designing a
probe that facilitates the process of measuring of the parameters, determining
the quality of a technological process. |
| format | Article |
| id | doaj-art-476b74f5de2d46f4b4c12778d93f5ca8 |
| institution | Kabale University |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2014-09-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-476b74f5de2d46f4b4c12778d93f5ca82025-08-20T03:50:45ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2014-09-01344Statistical Characteristics of the Damped Vibrations of a String Excited by Stochastic ForcesMarian JABŁOŃSKI0Agnieszka OZGA1niversity, Faculty of Mathematics and Computer ScienceAGH University of Science and Technology, Department of Mechanics and Vibroacoustics Our theoretical study aims at finding some statistic parameters characterizing the damped vibrations of a string excited by stochastic impulses. We derive the dependence of these parameters on the parameters of the string as well as on the stochastic distributions of the impulse magnitude, and on the place of the action. We also carry out a numerical simulation verifying the derived mathematical model and interpret the differences between the results obtained in simulation and the mathematical calculations. This study is the fourth stage of a research aimed at designing a probe that facilitates the process of measuring of the parameters, determining the quality of a technological process. https://acoustics.ippt.pan.pl/index.php/aa/article/view/599stringstochastic impulsesstatistic parameters characterizing the vibrations |
| spellingShingle | Marian JABŁOŃSKI Agnieszka OZGA Statistical Characteristics of the Damped Vibrations of a String Excited by Stochastic Forces Archives of Acoustics string stochastic impulses statistic parameters characterizing the vibrations |
| title | Statistical Characteristics of the Damped Vibrations of a String Excited by
Stochastic Forces |
| title_full | Statistical Characteristics of the Damped Vibrations of a String Excited by
Stochastic Forces |
| title_fullStr | Statistical Characteristics of the Damped Vibrations of a String Excited by
Stochastic Forces |
| title_full_unstemmed | Statistical Characteristics of the Damped Vibrations of a String Excited by
Stochastic Forces |
| title_short | Statistical Characteristics of the Damped Vibrations of a String Excited by
Stochastic Forces |
| title_sort | statistical characteristics of the damped vibrations of a string excited by stochastic forces |
| topic | string stochastic impulses statistic parameters characterizing the vibrations |
| url | https://acoustics.ippt.pan.pl/index.php/aa/article/view/599 |
| work_keys_str_mv | AT marianjabłonski statisticalcharacteristicsofthedampedvibrationsofastringexcitedbystochasticforces AT agnieszkaozga statisticalcharacteristicsofthedampedvibrationsofastringexcitedbystochasticforces |