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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Institute of Fundamental Technological Research
1971-12-01
|
| Series: | Engineering Transactions |
| Online Access: | https://et.ippt.pan.pl/index.php/et/article/view/2552 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | 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.
|
|---|---|
| ISSN: | 0867-888X 2450-8071 |