Rozwiązanie Pewnego Typu Tarczy Nieograniczonej
A thin elastic cantilever slice is considered. The edges are straight lines and a circle. Using bipolar coordinates, the Airy function is found by separating variables and using the boundary conditions for a given function and its normal derivative at the edge. Solutions in closed forms are obtained...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Institute of Fundamental Technological Research
1957-12-01
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| Series: | Engineering Transactions |
| Online Access: | https://et.ippt.pan.pl/index.php/et/article/view/3016 |
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| Summary: | A thin elastic cantilever slice is considered. The edges are straight lines and a circle. Using bipolar coordinates, the Airy function is found by separating variables and using the boundary conditions for a given function and its normal derivative at the edge. Solutions in closed forms are obtained for a few types of load often encountered in practice. For an arbitrary load, the solution is obtained by expanding the
Airy function in a series of biharmonic polynomials. The stress distribution is illustrated by a numerical example.
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| ISSN: | 0867-888X 2450-8071 |