Obliczanie Płyt Siatkowych na Podstawie Teorii Efektu Brzegowego
In the equations of the continual theory of lattice-type plates [1] a small parameter is involved. In the displacements equations the differential operator of a higher order appears. This shows the possibility of an asymptotic treatment of boundary-value problems. This paper discusses the simplest v...
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| Format: | Article |
| Language: | English |
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Institute of Fundamental Technological Research
1967-09-01
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| Series: | Engineering Transactions |
| Online Access: | https://et.ippt.pan.pl/index.php/et/article/view/2700 |
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| _version_ | 1839633211524644864 |
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| author | S. Konieczny C. Woźniak |
| author_facet | S. Konieczny C. Woźniak |
| author_sort | S. Konieczny |
| collection | DOAJ |
| description | In the equations of the continual theory of lattice-type plates [1] a small parameter is involved. In the displacements equations the differential operator of a higher order appears. This shows the possibility of an asymptotic treatment of boundary-value problems. This paper discusses the simplest variant of such an approach, in which the accurate set of differential equations is replaced by a system composed of a fourth order equation and a certain algebraic equation. Then, the order of the set of equations remains unchanged, which enables accurate satisfaction of all the three boundary conditions. The paper contains also a computation example of a lattice-type plate, illustrating the theory presented. |
| format | Article |
| id | doaj-art-04b77862bc5b45a197f69c9bd26c7d8c |
| institution | Matheson Library |
| issn | 0867-888X 2450-8071 |
| language | English |
| publishDate | 1967-09-01 |
| publisher | Institute of Fundamental Technological Research |
| record_format | Article |
| series | Engineering Transactions |
| spelling | doaj-art-04b77862bc5b45a197f69c9bd26c7d8c2025-07-11T05:01:59ZengInstitute of Fundamental Technological ResearchEngineering Transactions0867-888X2450-80711967-09-01153Obliczanie Płyt Siatkowych na Podstawie Teorii Efektu BrzegowegoS. Konieczny0C. Woźniak1Politechnika ŁódźkaUniwersytet WarszawskiIn the equations of the continual theory of lattice-type plates [1] a small parameter is involved. In the displacements equations the differential operator of a higher order appears. This shows the possibility of an asymptotic treatment of boundary-value problems. This paper discusses the simplest variant of such an approach, in which the accurate set of differential equations is replaced by a system composed of a fourth order equation and a certain algebraic equation. Then, the order of the set of equations remains unchanged, which enables accurate satisfaction of all the three boundary conditions. The paper contains also a computation example of a lattice-type plate, illustrating the theory presented.https://et.ippt.pan.pl/index.php/et/article/view/2700 |
| spellingShingle | S. Konieczny C. Woźniak Obliczanie Płyt Siatkowych na Podstawie Teorii Efektu Brzegowego Engineering Transactions |
| title | Obliczanie Płyt Siatkowych na Podstawie Teorii Efektu Brzegowego |
| title_full | Obliczanie Płyt Siatkowych na Podstawie Teorii Efektu Brzegowego |
| title_fullStr | Obliczanie Płyt Siatkowych na Podstawie Teorii Efektu Brzegowego |
| title_full_unstemmed | Obliczanie Płyt Siatkowych na Podstawie Teorii Efektu Brzegowego |
| title_short | Obliczanie Płyt Siatkowych na Podstawie Teorii Efektu Brzegowego |
| title_sort | obliczanie plyt siatkowych na podstawie teorii efektu brzegowego |
| url | https://et.ippt.pan.pl/index.php/et/article/view/2700 |
| work_keys_str_mv | AT skonieczny obliczaniepłytsiatkowychnapodstawieteoriiefektubrzegowego AT cwozniak obliczaniepłytsiatkowychnapodstawieteoriiefektubrzegowego |