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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 0867-888X 2450-8071 |