Stability and bifurcations in oscillations of composite laminates with curvilinear fibres under a supersonic airflow

Akhavan, Hamed; Ribeiro, Pedro

doi:10.1007/s11071-020-05838-6

Cited by 16 publications

(5 citation statements)

References 58 publications

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“…Chaotic flutter has also been identified in a piezoaeroelastic airfoil energy harvester supported by nonlinear springs [60] and in panel flutter under thermal loads, supersonic flow [18] and experimental turbulent flow [19]. Nonlinear flutter of variable stiffness composite plates in supersonic flow has also shown limit cycle oscillations, quasi-periodic or chaotic solutions depending on fibre path orientation [61]. Stall flutter chaos has been shown to occur under aerodynamic, structural and kinematic nonlinearities [20], [21].…”

Section: Introductionmentioning

confidence: 92%

Prediction and Suppression of Chaotic Flutter in Wind Turbines

Meehan

2023

Preprint

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Chaotic motion in a fluttering wind turbine blade is investigated using an efficient analytical predictive model that is then used to suppress the phenomenon. Flutter is a dynamic instability of an elastic structure in a fluid, such as an airfoil section of a wind turbine blade. It is presently modelled using generalised two degree of freedom coupled modes of a blade airfoil section (pitch and plunge) combined with local unsteady aerodynamics, based on flutter derivatives and a continuous bilinear lift curve under damping. The mode coupling causes instability and limit cycle behaviour due to a Hopf bifurcation that may lead to period doubling and chaotic behaviour after the critical flutter speed. New closed form conservative analytical conditions for blade flutter chaos are identified and discussed for the wind turbine section taking into account the blade geometry and optimal design of the wind turbine. These predictions are numerically verified for a range of conditions including stall slope and damping. The results confirm that blade flutter chaos can occur due to nonlinearities in the aerodynamics i.e. due to a bilinear lift law. This phenomenon is then suppressed to unrealistically high wind speeds and/or eliminated by quantified variation of system parameters using the predictive model. The results show that small changes in tip speed ratio (-15%) and stall slope factor (-17%) can eliminate or suppress chaotic flutter while in general larger changes in dynamic parameters (ie mass, stiffness, damping) are required to achieve the same, by detuning the coupled plunge and pitch natural frequencies or damping out overlapping parametric resonances. General insight is also provided into the occurrence and suppression of airfoil flutter chaos in aeroelastic structures like wind turbines.

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Section: Introductionmentioning

confidence: 92%

Prediction and Suppression of Chaotic Flutter in Wind Turbines

Meehan

2023

Preprint

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“…At the same time the approximate equation of the oscillation due to the vibration of a system is illustrated by the famous researcher Akhavan, H. et.al. [31]. Some time it is observed that a particular system cannot be explained by a single differential equation, rather coupled equation is necessary to represents the entire behavior of the system.…”

Section: Dynamics Of Mechanical System-a Literature Reviewmentioning

confidence: 99%

Analytical Study of Series Solutions for the ‘Nonlinear Mechanical System’ with Stability Analysis

Chakraborty¹,

Bhattacharjee²,

Roy³

et al. 2022

YMER

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Any mechanical system can easily be analyzed with the help of proper designing or modeling. All kinematical constrains are also been considered at the time of modeling. Generally the traditional dynamical differential equations are solved to predict the nature of the system. In this work, some typical types of dynamical mechanical system in taken into consideration and further the dynamical equations are being solved using ‘Series Solutions Technique’ for the analysis of the nonlinear system. The solution is consisting of two sections. Using frequency response analysis via simulation, which section of the solution is more suitable or effective for the designing purpose has also been explained in detail. Finally, the local stability analysis of the entire system is studied in detail with proper numerical simulation. Keywords: Nonlinearity, Series Solution, Stability Analysis, Phase Portrait, Frequency Response Function.

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“…To further improve the aeroelastic stability of the composite laminated panels, the flutter characteristics of composite laminated panels with curvilinear fibers have recently attracted the attentions of scientists. [216][217][218] For example, the flutter characteristic of a cantilever composite laminated panel with curvilinear fibers in supersonic airflow was studied by Camacho et al 217 As displayed in Figure 14, the orientation of the curvilinear fibers was defined by three functions, and the influences of the fiber orientation on the flutter bounds of the composite laminated panels were analyzed. In addition, Fazilati 218 analyzed the combined effects of curvilinear fiber orientation and F I G U R E 13 Simplified model of (A) 2D wing/external tank system, and (B) fuel sloshing system.…”

Section: Panelsmentioning

confidence: 99%

“…From above analyses, it can be found that in previous studies on the flutter characteristics of the composite laminated panels, the fibers were laid along a straight line. To further improve the aeroelastic stability of the composite laminated panels, the flutter characteristics of composite laminated panels with curvilinear fibers have recently attracted the attentions of scientists 216–218 . For example, the flutter characteristic of a cantilever composite laminated panel with curvilinear fibers in supersonic airflow was studied by Camacho et al 217 As displayed in Figure 14, the orientation of the curvilinear fibers was defined by three functions, and the influences of the fiber orientation on the flutter bounds of the composite laminated panels were analyzed.…”

Section: Research Status Of Aeroelastic Analysismentioning

confidence: 99%

Aeroelastic analysis and flutter control of wings and panels: A review

Chai

Gao

Ankay

et al. 2021

Int Journal of Mech Sys Dyn

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Flutter is a self-excited vibration under the interaction of the inertial force, aerodynamic force, and elastic force of the structure. After the flutter occurs, the aircraft structures will exhibit limit cycle oscillation, which will cause catastrophic accidents or fatigue damage to the structures. Therefore, it is of great theoretical and practical significance to study the aeroelastic characteristics and flutter control for improving the aeroelastic stability of aircraft structures. This paper reviews the recent advances in aeroelastic analysis and flutter control of wings and panel structures. The mechanism of aeroelastic flutter of wings and panels is presented. The research methods of aeroelastic flutter for different structures developed in recent years are briefly summarized. Various control strategies including the linear and nonlinear control algorithms as well as the active flutter control results of wings and panels are presented. Finally, the paper ends with conclusions, which highlight challenges of the development in aeroelastic analysis and flutter control, and provide a brief outlook on the future investigations. This study aims to present a comprehensive understanding of aeroelastic analysis and flutter control. It can also provide guidance on the design of new wings and panel structures for improving their aeroelastic stability.

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Stability and bifurcations in oscillations of composite laminates with curvilinear fibres under a supersonic airflow

Cited by 16 publications

References 58 publications

Prediction and Suppression of Chaotic Flutter in Wind Turbines

Prediction and Suppression of Chaotic Flutter in Wind Turbines

Analytical Study of Series Solutions for the ‘Nonlinear Mechanical System’ with Stability Analysis

Aeroelastic analysis and flutter control of wings and panels: A review

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