| Autor: | W. B. Fraser, D. M. Stump |
|---|---|
| Rok vydání: | 2000 |
| Předmět: |
Applied Mathematics
Mechanical Engineering Mathematical analysis Composite number Aerospace Engineering Stiffness Ocean Engineering Geometry Method of matched asymptotic expansions Boundary layer Nonlinear system Control and Systems Engineering Deflection (engineering) Catenary medicine Electrical and Electronic Engineering Twist medicine.symptom Mathematics |
| Zdroj: | Nonlinear Dynamics. 21:55-70 |
| ISSN: | 0924-090X |
| DOI: | 10.1023/a:1008306308220 |
| Popis: | The high-speed transport of thin-sheet materials occurs in a variety of industrial processes. In this paper the method of matched asymptotic expansions is used to solve the low tension, large-deflection shape of a convected strip hanging under gravity. To leading order the equations for the deflection in the boundary layer and in the centre of the span are nonlinear. Previous treatments of this problem have not accurately solved the leading-order equation within the boundary layer. The composite analytic solution of the full nonlinear equation is obtained and compares well with numerical solutions. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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