Drgania Swobodne Niejednorodnej Błony Pierścieniowej
An annular membrane go < g < gn is assumed to be composed of n homogeneous parts gk-1 < g < gn, 1 < k < n with surface densities ox, 1 < k < n. The problem is to determine the natural vibration if the initial state is determined by given functions f (g), g (g) and the membran...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research
1962-12-01
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| Series: | Engineering Transactions |
| Online Access: | https://et.ippt.pan.pl/index.php/et/article/view/2869 |
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| _version_ | 1839633169696948224 |
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| author | V. Vodička |
| author_facet | V. Vodička |
| author_sort | V. Vodička |
| collection | DOAJ |
| description | An annular membrane go < g < gn is assumed to be composed of n homogeneous parts gk-1 < g < gn, 1 < k < n with surface densities ox, 1 < k < n. The problem is to determine the natural vibration if the initial state is determined by given functions f (g), g (g) and the membrane is subject to a uniform tension S.
The solution is obtained by means of the classical method of characteristic functions, which gives an interesting view of these problems and has formal advantages. The general results are applied to the special case of a homogeneous membrane.
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| format | Article |
| id | doaj-art-5eaecf83c5d746d3bc2e6af66fcaeb4c |
| institution | Matheson Library |
| issn | 0867-888X 2450-8071 |
| language | English |
| publishDate | 1962-12-01 |
| publisher | Institute of Fundamental Technological Research |
| record_format | Article |
| series | Engineering Transactions |
| spelling | doaj-art-5eaecf83c5d746d3bc2e6af66fcaeb4c2025-07-11T05:03:00ZengInstitute of Fundamental Technological ResearchEngineering Transactions0867-888X2450-80711962-12-01104Drgania Swobodne Niejednorodnej Błony PierścieniowejV. VodičkaAn annular membrane go < g < gn is assumed to be composed of n homogeneous parts gk-1 < g < gn, 1 < k < n with surface densities ox, 1 < k < n. The problem is to determine the natural vibration if the initial state is determined by given functions f (g), g (g) and the membrane is subject to a uniform tension S. The solution is obtained by means of the classical method of characteristic functions, which gives an interesting view of these problems and has formal advantages. The general results are applied to the special case of a homogeneous membrane. https://et.ippt.pan.pl/index.php/et/article/view/2869 |
| spellingShingle | V. Vodička Drgania Swobodne Niejednorodnej Błony Pierścieniowej Engineering Transactions |
| title | Drgania Swobodne Niejednorodnej Błony Pierścieniowej |
| title_full | Drgania Swobodne Niejednorodnej Błony Pierścieniowej |
| title_fullStr | Drgania Swobodne Niejednorodnej Błony Pierścieniowej |
| title_full_unstemmed | Drgania Swobodne Niejednorodnej Błony Pierścieniowej |
| title_short | Drgania Swobodne Niejednorodnej Błony Pierścieniowej |
| title_sort | drgania swobodne niejednorodnej blony pierscieniowej |
| url | https://et.ippt.pan.pl/index.php/et/article/view/2869 |
| work_keys_str_mv | AT vvodicka drganiaswobodneniejednorodnejbłonypierscieniowej |