Bifurcation Analysis and Sticking Phenomenon for Unmanned Rotor-Nacelle Systems with the Presence of Multi-Segmented Structural Nonlinearity

<i>Whirl flutter</i> is a phenomenon caused by an aeroelastic instability, causing oscillations to propagate in manned or unmanned rotor-nacelle type aircraft. Under the conditions where multi-segmented freeplay are present, complex behaviors can dominate these oscillations and can lead...

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Main Authors: Anthony Quintana, Brian Evan Saunders, Rui Vasconcellos, Abdessattar Abdelkefi
Format: Article
Language:English
Published: MDPI AG 2024-02-01
Series:Drones
Subjects:
Online Access:https://www.mdpi.com/2504-446X/8/2/59
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author Anthony Quintana
Brian Evan Saunders
Rui Vasconcellos
Abdessattar Abdelkefi
author_facet Anthony Quintana
Brian Evan Saunders
Rui Vasconcellos
Abdessattar Abdelkefi
author_sort Anthony Quintana
collection DOAJ
description <i>Whirl flutter</i> is a phenomenon caused by an aeroelastic instability, causing oscillations to propagate in manned or unmanned rotor-nacelle type aircraft. Under the conditions where multi-segmented freeplay are present, complex behaviors can dominate these oscillations and can lead to disastrous consequences. This study investigates a rotor-nacelle system with multi-segmented stiffnesses with a freeplay gap to encompass the real-world influences of aircraft. The mathematical aerodynamics model considers a quasi-steady application of strip theory along each blade to outline the external forces being applied. A free-body diagram is then used to incorporate the structural stiffness and damping terms with multi-segmented freeplay considered in the structural stiffness matrix. Multiple structural responses of the defined system are investigated and characterized to determine the influence of varying symmetric and asymmetric multi-segmented stiffnesses with varying gap parameters, including a route to impact investigation. The findings are characterized using phase portraits, Poincaré maps, time histories, and basins of attraction. It is found that under these conditions, the structural influences can lead to aperiodic oscillations with the existence of grazing bifurcations. Furthermore, these results unveil that under certain conditions and high freestream velocities, the sticking phenomenon becomes apparent which is strongly dependent on the strength of the multi-segmented representation, its gap sizes, and its symmetry. Lastly, a route to impact study shows the strong coupled influence between pitch and yaw when asymmetric conditions are applied and the possible presence of grazing-sliding bifurcations. The numerical simulations performed in this study can form a basis for drone designers to create reliable rotor-nacelle systems resistant to whirl flutter caused by freeplay effects.
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spelling doaj.art-178de5d16e3241ec9e1b4056e8d4a4492024-02-23T15:14:13ZengMDPI AGDrones2504-446X2024-02-01825910.3390/drones8020059Bifurcation Analysis and Sticking Phenomenon for Unmanned Rotor-Nacelle Systems with the Presence of Multi-Segmented Structural NonlinearityAnthony Quintana0Brian Evan Saunders1Rui Vasconcellos2Abdessattar Abdelkefi3Department of Mechanical & Aerospace Engineering, New Mexico State University, Las Cruces, NM 88003, USASandia National Laboratories, Albuquerque, NM 87123, USACampus of São João da Boa Vista, São Paulo State University (UNESP), São João da Boa Vista 13876-750, BrazilDepartment of Mechanical & Aerospace Engineering, New Mexico State University, Las Cruces, NM 88003, USA<i>Whirl flutter</i> is a phenomenon caused by an aeroelastic instability, causing oscillations to propagate in manned or unmanned rotor-nacelle type aircraft. Under the conditions where multi-segmented freeplay are present, complex behaviors can dominate these oscillations and can lead to disastrous consequences. This study investigates a rotor-nacelle system with multi-segmented stiffnesses with a freeplay gap to encompass the real-world influences of aircraft. The mathematical aerodynamics model considers a quasi-steady application of strip theory along each blade to outline the external forces being applied. A free-body diagram is then used to incorporate the structural stiffness and damping terms with multi-segmented freeplay considered in the structural stiffness matrix. Multiple structural responses of the defined system are investigated and characterized to determine the influence of varying symmetric and asymmetric multi-segmented stiffnesses with varying gap parameters, including a route to impact investigation. The findings are characterized using phase portraits, Poincaré maps, time histories, and basins of attraction. It is found that under these conditions, the structural influences can lead to aperiodic oscillations with the existence of grazing bifurcations. Furthermore, these results unveil that under certain conditions and high freestream velocities, the sticking phenomenon becomes apparent which is strongly dependent on the strength of the multi-segmented representation, its gap sizes, and its symmetry. Lastly, a route to impact study shows the strong coupled influence between pitch and yaw when asymmetric conditions are applied and the possible presence of grazing-sliding bifurcations. The numerical simulations performed in this study can form a basis for drone designers to create reliable rotor-nacelle systems resistant to whirl flutter caused by freeplay effects.https://www.mdpi.com/2504-446X/8/2/59unmanned aircraftrotor-nacellefluid-structure interactionnonlinear dynamicsfreeplay nonlinearitymulti-segmented nonlinearity
spellingShingle Anthony Quintana
Brian Evan Saunders
Rui Vasconcellos
Abdessattar Abdelkefi
Bifurcation Analysis and Sticking Phenomenon for Unmanned Rotor-Nacelle Systems with the Presence of Multi-Segmented Structural Nonlinearity
Drones
unmanned aircraft
rotor-nacelle
fluid-structure interaction
nonlinear dynamics
freeplay nonlinearity
multi-segmented nonlinearity
title Bifurcation Analysis and Sticking Phenomenon for Unmanned Rotor-Nacelle Systems with the Presence of Multi-Segmented Structural Nonlinearity
title_full Bifurcation Analysis and Sticking Phenomenon for Unmanned Rotor-Nacelle Systems with the Presence of Multi-Segmented Structural Nonlinearity
title_fullStr Bifurcation Analysis and Sticking Phenomenon for Unmanned Rotor-Nacelle Systems with the Presence of Multi-Segmented Structural Nonlinearity
title_full_unstemmed Bifurcation Analysis and Sticking Phenomenon for Unmanned Rotor-Nacelle Systems with the Presence of Multi-Segmented Structural Nonlinearity
title_short Bifurcation Analysis and Sticking Phenomenon for Unmanned Rotor-Nacelle Systems with the Presence of Multi-Segmented Structural Nonlinearity
title_sort bifurcation analysis and sticking phenomenon for unmanned rotor nacelle systems with the presence of multi segmented structural nonlinearity
topic unmanned aircraft
rotor-nacelle
fluid-structure interaction
nonlinear dynamics
freeplay nonlinearity
multi-segmented nonlinearity
url https://www.mdpi.com/2504-446X/8/2/59
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