Continuation and Bifurcation Analysis in Helicopter Aeroelastic Stability Problems

Rezgui, Djamel; Lowenberg, Mark H; Jones, Mark; Monteggia, C.

doi:10.2514/1.60193

Cited by 19 publications

(15 citation statements)

References 19 publications

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“…However, analytical method is often unfeasible for complex systems, whereas several numerical calculation methods can solve such problems very well, in which the continuous algorithm has been widely concerned. Rezgui and Lowenberg (2014) analyzed the global stability region of helicopter in hover and forward with the propeller blade leading slat by continuous algorithm.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis of aircraft’s sudden damage process with ROA overlapping

Chen

Song

2018

AEAT

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Purpose The paper aims to propose a stability analysis method based on region-of-attraction (ROA) overlapping to evaluate the flight stability of the possible sudden damage process and guarantee flight safety in extreme cases. Design/methodology/approach First, according to the two flight conditions before and after damage which the aircraft may encounter, flight dynamical models are built and fitted by polynomial equation for subsequent ROA analysis. And then, the ROA overlapping estimation method based on V-s iteration is presented to complete the stability analysis of such airplane sudden damage process. Findings Finally, in the presence of control surface damage, case aircraft flight stability is analyzed and simulated to verify the effectiveness of the proposed method. Practical implications The proposed method can be used for stability check during the aircraft control law design, or for further completing the design of the emergency stable controller design. Originality/value Compared with previous studies on sudden damage process of aircraft, to the best of the authors’ knowledge, this is one of the pioneer studies in which the ROA and ROA overlapping concept has been introduced. This study on stability analysis of aircraft sudden damage process could further develop the theory of emergency stable control.

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Section: Introductionmentioning

confidence: 99%

Stability analysis of aircraft’s sudden damage process with ROA overlapping

Chen

Song

2018

AEAT

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“…Despite the simplicity of three-dimensional autonomous systems, these systems have a rich dynamical behavior, ranging from stable equilibrium points to periodic and even chaotic oscillations, depending on the parameter values. Moreover, bifurcation analysis and numerical simulation for these systems have been done by many researchers, such as [5][6][7][8][9][10][11][12][13][14]. In 2008, a new three-dimensional Lorenz-like chaotic system is reported; nonlinear characteristic and basic dynamic properties of the three-dimensional autonomous system are studied by means of nonlinear dynamics theory, including the stability and the conditions for generating Hopf bifurcation of the equilibria [15].…”

Section: Introductionmentioning

confidence: 99%

Bifurcation Analysis and Sliding Mode Control of Chaotic Vibrations in an Autonomous System

Chu

Zhang

et al. 2014

Journal of Applied Mathematics

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We study the bifurcations and sliding mode control of chaotic vibrations in an autonomous system. More precisely, a Hopf bifurcation controller is designed so as to control the unstable subcritical Hopf bifurcation to the stable supercritical Hopf bifurcation. Research result shows that the control method can work very well in Hopf bifurcation control. Besides, we controlled the system to any fixed point and any periodic orbit to eliminate the chaotic vibration by means of sliding mode method. And the numerical simulations were presented to confirm the effectiveness of the controller.

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“…However, CBM is still in the process of proliferation within the field of helicopter dynamics and as a result their application has so far been limited to a small number of problems [22], such as flight mechanics, ground resonance and rotor vortex ring state. Their inclusion in rotary wing studies is steadily becoming more prevalent as they are powerful when applied to problems such as the identification of instability scenarios of rotor blades [23]. Continuation methods were used in the AW159/Wildcat Release To Service military certification document to assess the nonlinear dynamic behaviour of the tail rotor [24].…”

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confidence: 99%

Stability analysis of whirl flutter in rotor-nacelle systems with freeplay nonlinearity

2021

Self Cite

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Tiltrotor aircraft are growing in prevalence due to the usefulness of their unique flight envelope. However, aeroelastic stability—particularly whirl flutter stability—is a major design influence that demands accurate prediction. Several nonlinearities that may be present in tiltrotor systems, such as freeplay, are often neglected for simplicity, either in the modelling or the stability analysis. However, the effects of such nonlinearities can be significant, sometimes even invalidating the stability predictions from linear analysis methods. Freeplay is a nonlinearity that may arise in tiltrotor nacelle rotation actuators due to the tension–compression loading cycles they undergo. This paper investigates the effect of a freeplay structural nonlinearity in the nacelle pitch degree of freedom. Two rotor-nacelle models of contrasting complexity are studied: one represents classical whirl flutter (propellers) and the other captures the main effects of tiltrotor aeroelasticity (proprotors). The manifestation of the freeplay in the systems’ dynamical behaviour is mapped out using Continuation and Bifurcation Methods, and consequently the change in the stability boundary is quantified. Furthermore, the effects on freeplay behaviour of (a) model complexity and (b) deadband edge sharpness are studied. Ultimately, the freeplay nonlinearity is shown to have a complex effect on the dynamics of both systems, even creating the possibility of whirl flutter in parameter ranges that linear analysis methods predict to be stable. While the size of this additional whirl flutter region is finite and bounded for the basic model, it is unbounded for the higher complexity model.

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Continuation and Bifurcation Analysis in Helicopter Aeroelastic Stability Problems

Cited by 19 publications

References 19 publications

Stability analysis of aircraft’s sudden damage process with ROA overlapping

Stability analysis of aircraft’s sudden damage process with ROA overlapping

Bifurcation Analysis and Sliding Mode Control of Chaotic Vibrations in an Autonomous System

Stability analysis of whirl flutter in rotor-nacelle systems with freeplay nonlinearity

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