A thorough look at the (in)stability of piston-theoretic beams
| Autor: | Katelynn Huneycutt, Spencer Wilder, Jason S. Howell, Justin T. Webster |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Leading edge
Cantilever Modal analysis 74B20 74K10 74F10 74H10 70J10 37L15 attractors Physics::Fluid Dynamics Mathematics - Analysis of PDEs extensible beam FOS: Mathematics Trailing edge Mathematical Physics Physics nonlinear elasticity Applied Mathematics lcsh:T57-57.97 Finite difference Mechanics stability modal analysis flutter lcsh:Applied mathematics. Quantitative methods Flutter Restoring force Analysis Numerical stability Analysis of PDEs (math.AP) |
| Zdroj: | Mathematics in Engineering, Vol 1, Iss 3, Pp 614-647 (2019) |
| ISSN: | 2640-3501 |
| Popis: | We consider a beam model representing the transverse deflections of a one dimensional elastic structure immersed in an axial fluid flow. The model includes a nonlinear elastic restoring force, with damping and non-conservative terms provided through the flow effects. Three different configurations are considered: a clamped panel, a hinged panel, and a flag (a cantilever clamped at the leading edge, free at the trailing edge). After providing the functional framework for the dynamics, recent results on well-posedness and long-time behavior of the associated dynamical system for solutions are presented. Having provided this theoretical context, in-depth numerical stability analyses are provided, focusing both at the onset of flow-induced instability (flutter), and qualitative properties of the post-flutter dynamics across configurations. Modal approximations are utilized, as well as finite difference schemes. Comment: 35 pages, 23 figures |
| Databáze: | OpenAIRE |
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