Stabilization of a multi-tethered lighter-than-air rigid-body sphere undergoing vortex-induced vibrations in uniform flow
Autor: | Oded Gottlieb, La Mi |
---|---|
Rok vydání: | 2018 |
Předmět: |
Physics
Applied Mathematics Mechanical Engineering Aerospace Engineering Ocean Engineering Mechanics Wake Rigid body 01 natural sciences 010305 fluids & plasmas Vortex Vibration Amplitude Control and Systems Engineering Quasiperiodic function 0103 physical sciences Potential flow Electrical and Electronic Engineering 010306 general physics Bifurcation |
Zdroj: | Nonlinear Dynamics. 93:1353-1369 |
ISSN: | 1573-269X 0924-090X |
Popis: | We consider the stabilization of a multi-tethered lighter-than-air sphere undergoing vortex-induced vibrations in uniform flow. Motivated by recent engineering applications, we extend a single-tether model coupled with a three-dimensional wake oscillator to incorporate a four-tether configuration with general rigid-body rotations for the light sphere. The fundamental bifurcation structure of the coupled model includes periodic self-excited limit cycles, which culminate with quasiperiodic solutions with increased reduced velocity. Stabilization of limit-cycle oscillations is achieved for optimal mass ratio and tether length parameters which are obtained by asymptotic analysis of reduced-order models. The resulting reduction in transverse and rotational amplitudes is at the expense of a decreasing range of the periodic bifurcation region for large tether inclination angles, whereas in addition to rotational amplitude reduction, regularization of nonstationary solutions occurred for a medium inclination angle. |
Databáze: | OpenAIRE |
Externí odkaz: |