DRAPING WOVEN SHEETS
| Autor: | Hilary Ockendon, John Ockendon, Peter Howell |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Smoothness
Partial differential equation Continuum (topology) Computer science Computability Mathematical analysis 010102 general mathematics 020207 software engineering 010103 numerical & computational mathematics General Medicine 02 engineering and technology Chebyshev filter 01 natural sciences Nonlinear system Mathematics (miscellaneous) Woven fabric Net (polyhedron) 0202 electrical engineering electronic engineering information engineering 0101 mathematics |
| Zdroj: | The ANZIAM Journal. 62:355-385 |
| ISSN: | 1446-8735 1446-1811 |
| Popis: | Motivated by the manufacture of carbon fibre components, this paper considers the smooth draping of loosely woven fabric over rigid obstacles, both smooth and nonsmooth. The draped fabric is modelled as the continuum limit of a Chebyshev net of two families of short rigid rods that are freely pivoted at their joints. This approach results in a system of nonlinear hyperbolic partial differential equations whose characteristics are the fibres in the fabric. The analysis of this system gives useful information about the drapability of obstacles of many shapes and also poses interesting theoretical questions concerning well-posedness, smoothness and computability of the solutions. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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