Self-excited dynamics of an elastically restrained slender rigid body in uniform compressible laminar flow
| Autor: | David Degani, A. Kleiman, Oded Gottlieb, Sergey Gendel |
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| Rok vydání: | 2016 |
| Předmět: |
Physics
Applied Mathematics Mechanical Engineering Aerospace Engineering Reynolds number Equations of motion Ocean Engineering Laminar flow Mechanics Rigid body 01 natural sciences 010305 fluids & plasmas Physics::Fluid Dynamics Lift (force) symbols.namesake Classical mechanics Control and Systems Engineering Vortex-induced vibration Drag 0103 physical sciences Fluid–structure interaction symbols Electrical and Electronic Engineering 010306 general physics |
| Zdroj: | Nonlinear Dynamics. 86:2207-2230 |
| ISSN: | 1573-269X 0924-090X |
| Popis: | In this research, we employ a computational methodology to investigate the self-excited angular dynamics of an elastically restrained rigid body in uniform compressible laminar flow. We investigate the onset of vortex-induced vibration of a two-dimensional slender rigid body configuration with a torsion spring at the leading edge and investigate the fluid–structure interaction of a three-dimensional ogive–cylinder body restrained by three torsion springs in the pitch, roll, and yaw directions. The methodology combines the implicit finite-difference Beam and Warming algorithm for the Navier–Stokes equations and a fourth-order Runge–Kutta solver for the rigid body equations of motion. The results for a fixed body reveal a critical angle-of-attack beyond which the two-dimensional flow becomes unsteady culminating with periodic drag and lift forces due to an asymmetric vortex pair shed at the body free edge. Numerical analysis of a two-dimensional pitch motion yields periodic limit cycles for a low Reynolds number flow. These self-excited oscillations evolve to ultrasubharmonic, quasiperiodic and non-stationary chaotic-like dynamics with increasing Reynolds number. Numerical analysis of three-dimensional coupled angular dynamics reveals a similar bifurcation structure for finite Reynolds number flow which includes quasiperiodic and non-stationary dynamics with increasing angles-of-attack. |
| Databáze: | OpenAIRE |
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