Ugięcia Płyt Ortotropowych o Zmiennych Sztywnościach i Pewnych Nieciągłych Warunkach Brzegowych
The paper contains the formally exact solution of the differential equation of bending of a plate which rests on an elastic foundation, in the case when the rigidities and the foundation coefficient are polynomials of the single variable y; the edges x = 0 and x = a of the plate are simply supported...
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| Format: | Article |
| Language: | English |
| Published: |
Institute of Fundamental Technological Research
1971-12-01
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| Series: | Engineering Transactions |
| Online Access: | https://et.ippt.pan.pl/index.php/et/article/view/2552 |
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| _version_ | 1849321189258821632 |
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| author | K.H. Bojda |
| author_facet | K.H. Bojda |
| author_sort | K.H. Bojda |
| collection | DOAJ |
| description | The paper contains the formally exact solution of the differential equation of bending of a plate which rests on an elastic foundation, in the case when the rigidities and the foundation coefficient are polynomials of the single variable y; the edges x = 0 and x = a of the plate are simply supported, the boundary conditions along the edge y = 0 being discontinuous. The solution has the form of a double polynomial – trigonometric series.
The coefficients of the series are obtained from simple recurrent formulae and from infinite systems of algebraic equations. The solutions are presented concerning continuous plates resting: on elastic supports. The possibility is indicated of obtaining simple solutions in the cases of infinite and semi-infinite plate strips. The solution is derived by means of the algebraic derivative.
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| format | Article |
| id | doaj-art-ba57bdda54ee41f39b2d5ef224f7587b |
| institution | Kabale University |
| issn | 0867-888X 2450-8071 |
| language | English |
| publishDate | 1971-12-01 |
| publisher | Institute of Fundamental Technological Research |
| record_format | Article |
| series | Engineering Transactions |
| spelling | doaj-art-ba57bdda54ee41f39b2d5ef224f7587b2025-08-20T03:49:49ZengInstitute of Fundamental Technological ResearchEngineering Transactions0867-888X2450-80711971-12-01194Ugięcia Płyt Ortotropowych o Zmiennych Sztywnościach i Pewnych Nieciągłych Warunkach BrzegowychK.H. Bojda0Politechnika Śląską w Gliwicach, GliwiceThe paper contains the formally exact solution of the differential equation of bending of a plate which rests on an elastic foundation, in the case when the rigidities and the foundation coefficient are polynomials of the single variable y; the edges x = 0 and x = a of the plate are simply supported, the boundary conditions along the edge y = 0 being discontinuous. The solution has the form of a double polynomial – trigonometric series. The coefficients of the series are obtained from simple recurrent formulae and from infinite systems of algebraic equations. The solutions are presented concerning continuous plates resting: on elastic supports. The possibility is indicated of obtaining simple solutions in the cases of infinite and semi-infinite plate strips. The solution is derived by means of the algebraic derivative. https://et.ippt.pan.pl/index.php/et/article/view/2552 |
| spellingShingle | K.H. Bojda Ugięcia Płyt Ortotropowych o Zmiennych Sztywnościach i Pewnych Nieciągłych Warunkach Brzegowych Engineering Transactions |
| title | Ugięcia Płyt Ortotropowych o Zmiennych Sztywnościach i Pewnych Nieciągłych Warunkach Brzegowych |
| title_full | Ugięcia Płyt Ortotropowych o Zmiennych Sztywnościach i Pewnych Nieciągłych Warunkach Brzegowych |
| title_fullStr | Ugięcia Płyt Ortotropowych o Zmiennych Sztywnościach i Pewnych Nieciągłych Warunkach Brzegowych |
| title_full_unstemmed | Ugięcia Płyt Ortotropowych o Zmiennych Sztywnościach i Pewnych Nieciągłych Warunkach Brzegowych |
| title_short | Ugięcia Płyt Ortotropowych o Zmiennych Sztywnościach i Pewnych Nieciągłych Warunkach Brzegowych |
| title_sort | ugiecia plyt ortotropowych o zmiennych sztywnosciach i pewnych nieciaglych warunkach brzegowych |
| url | https://et.ippt.pan.pl/index.php/et/article/view/2552 |
| work_keys_str_mv | AT khbojda ugieciapłytortotropowychozmiennychsztywnosciachipewnychnieciagłychwarunkachbrzegowych |