Conference Paper

Aerodynamic and Aeroelastic Analysis of a Cycloidal Rotor

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Abstract

This work presents aerodynamic and aeroelastic models used to investigate the behavior of a cycloidal rotor scaled for personal transportation applications. Three different models are considered. The impact of solidity on performance is evaluated using a two-dimensional RANS viscous flow model with the boundary layer fully resolved. An aeroelastic multibody model is used to further evaluate the effects of aeroelasticity on the performance of the rotor.

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... They have the additional advantage of vectoring the thrust. Previous work [7,8] shown that this latest configuration is by far the most promising configuration. A concept illustration is shown on Fig. 4. To allow the study of the rotor, various aerodynamic and aeroelastic models were developed. ...
... These models were presented in previous articles. [7,8] The results presented here are obtained from a further development of the algebraic model which is explained in detail in the following section. ...
... The smaller correctors κ required for the IAT21 and McNabb experimental data may be due to the fact that their experimental model had full cylinders which are known to reduce the tree-dimensionality of the flow. To verify this hypothesis, a previously developed three dimensional fluid dynamics model [8] is used to confirm the influence of the use of endplates on the rotor. A short description of the model along with the found effect of the endplates is presented in the following paragraph. ...
Conference Paper
A mathematical model is presented for the solution of the aerodynamic performances of a cycloidal rotor. It is solved algebraically for the cases where the forces and incoming wind velocity share the same direction. The model is validated against experimental data coming from three different sources. It is then used to evaluate the viability of using a cycloidal rotor as a replacement for the traditional tail rotor of a helicopter. By doing so, power is saved by the helicopter having non-null advance ratios. The savings reach 50% at an advance ratio of 0.33. It was found that imposing a constant cycloidal rotor angular velocity does not reduce the efficiency and that high pitch angles are the most efficient. The experimental data indicates that three dimensional effects have an influence on the cycloidal rotor performance. A three dimensional Euler fluid dynamic analysis confirms the experimental findings. Copyright © (2014) by the Royal Aeronautical Society. All rights reserved.
... Recent computational studies were focused on modeling only the aerodynamics of cyclorotors [28,29]. However, systematic studies to understand the role of blade flexibility and the resulting deflections on cyclorotor performance have been very limited [30][31][32]. The present study focuses on investigating the aeromechanics of a cyclorotor while using moderately and highly flexible blades. ...
... In the preceding equations [Eqs. (30)(31)(32)(33)(34)(35)(36)(37)(38)(39)(40)(41)(42)], e g is the chordwise location of blade c.g. ahead of the elastic axis. The variation of strain energy is computed using the following formula [Eq. ...
Article
Full-text available
In this paper, the aeromechanics of a cycloidal rotor (or cyclorotor) is investigated to understand the effect of blade flexibility on the performance of the rotor in hover. Toward this, experiments are conducted on cyclorotors using moderately and highly flexible blades. These studies show that, with increasing blade flexibility, the rotor thrust decreases; whereas the power consumption increases, leading to a significant drop in power loading (thrust/power). To investigate these phenomena, a coupled aeroelastic model of cyclorotor is developed by coupling an unsteady aerodynamics model with a beam-based structural model and is systematically validated with experimental results. The aerodynamic model contains rigorous modeling of various physics behind the operation of the cyclorotor, such as the nonlinear dynamic virtual camber, the effect of near and shed wakes, and the leading-edge vortex. In comparison with a second-order nonlinear structural model, inclusion of a geometrically exact structural model proves to be essential in accurate prediction of rotor deflections and performance. Based on a systematic analysis performed using the validated model, it is observed that the large torsional deflections of the blades are a key reason for the drop in thrust. The torsional deflections are mainly produced by centrifugal force and nonlinear moments due to bending curvatures.
... They assessed the potential of cycloidal rotors to be used in large-size unmanned or small-size manned vehicle propellers. Previous work by the current authors led to the development of various models for the study of the cycloidal rotor under different configurations (Gagnon et al., 2014a(Gagnon et al., , 2014b(Gagnon et al., , 2014c. ...
... The smaller correctors required for the IAT21 and McNabb experimental data may be because of the fact that their experimental model had full cylinders which are known to reduce the three-dimensionality of the flow. To verify this hypothesis, a previously developed three-dimensional fluid dynamics model (Gagnon et al., 2014c) is used to confirm the influence of the use of endplates on the rotor. A short description of the model along with the computed effect of the endplates is presented in the following paragraph. ...
Article
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Purpose-Few modeling approaches exist for cycloidal rotors because they are a prototypal technology. Thus, the purpose of this study was to develop new models for their analysis and validation. These models were used to analyze cycloidal rotors and a helicopter that uses them instead of a tail rotor. Design/methodology/approach-Three different models were developed to study the aerodynamic response of cycloidal rotors. They are a simplified analytical model resolved algebraically; a multibody model resolved numerically; and an unsteady computational fluid dynamics (CFD) model. The models were validated using data coming from three different experimental sources, each with rotor spans and radii of roughly 1 m. The CFD model was used to investigate the influence of rotor arms. The efficiency and the stability of the rotor in different configurations were studied. An aeroelastic multibody simulation was used to verify the influence of flexibility on the rotor response. Findings-The analyses suggested that cycloidal rotors can increase the efficiency of a helicopter at high velocities while flexibility reduces it and may lead to instabilities. Research limitations/implications-These models do not consider the effect of boundary layer friction on the trailing vortices generated by the rotor blades. Practical implications-These models allow a four-step aerodynamic optimization procedure. First, a range of optimized configurations is obtained by the analytical model. Second, the multibody model refines that range. Third, the CFD model detects eventual problematic blade interactions. Originality/value-The models presented should serve researchers and industrials looking for a means to measure the performance of cycloidal rotors concepts. The results presented also guide an initial cycloidal rotor design.
... The rotor model is initiated by enhancing a simulation from a previous project [11,12] which had been validated against experimental data [30] for a larger rotor without endplates. That prior CFD simulation had been shown to yield more accurate quantitative results than its analogous 2D version. ...
Chapter
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This chapter provides a detailed method for building an unsteady 3D CFD model with multiple embedded and adjacent rotating geometries. This is done relying solely on open-source software from the OpenFOAM\(^{\textregistered }\) package. An emphasis is placed on interface meshing and domain decomposition for parallel solutions. The purpose of the model is the aerodynamic analysis of a quadrotor cyclogyro. The challenging features of this aircraft consist of a series of pairwise counterrotating rotors, each consisting of blades that oscillate by roughly 90\(^\circ \) about their own pivot point. The task is complicated by the presence of solid features in the vicinity of the rotating parts. Adequate mesh tuning is required to properly decompose the domain, which has two levels of sliding interfaces. The favored decomposition methods are either to simply divide the domain along the vertical and longitudinal axes or to manually create sets of cell faces that are designated to be held in a single processor domain. The model is validated with wind tunnel data from a past and finished project for a series of flight velocities. It agrees with the experiment in regard to the magnitude of vertical forces, but only in regard to the trend for longitudinal forces. Comparison of past wind tunnel video footage and CFD field snapshots validates the features of the flow. The model uses the laminar Euler equations and gives a nearly linear speedup on up to four processors, requiring 1 day to attain periodic stability.
... Each cycloidal rotor blade oscillates and rotates simultaneously around a fixed point and around the center of the rotor, respectively, Fig. 2. The combined motion around these two points causes each blade to change its slope angle. Thus, at each rotation, the blades cyclically vary the respective angle of attack [2][3][4]. Since the movement is cyclic, it is characterized by its frequency, amplitude and the phase angle. The variation in the phase angle and amplitude of movement allows, respectively, changes in the thrust direction and thrust magnitude [5][6][7][8]. ...
Conference Paper
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Cycloidal rotors have the inherent ability to provide vectorized thrust with fast reaction times. However, their present efficiency levels restricts their routinely use as propulsion elements for air-vehicles. Efforts have been made to improve the performance of cycloidal rotors through the optimal combination of its geometric parameters. In the present work the performance improvement of cycloidal rotors is demonstrated using a different approach, namely by imposing an unsteady change on the dynamics and structure of the vortices developed around the blades. This required change on the flow field, around the blades, was applied by adding an harmonic vibration to the traditional cycloidal movement of the blades, thus causing the blades to vibrate as they describe their oscillating pitch movement. This research on the effect of harmonic vibration, on lift and drag coefficients, was done first for a single blade profile, and later for a full cycloidal rotor, and is based on the Takens reconstruction theorem and Poincaré map. Therefore, diverse test cases and conditions were considered: a single static airfoil, an oscillating blade profile, and a complete cycloidal rotor. We concluded that the optimal combination of harmonic vibration parameters, specifically; amplitude, phase angle and vibration frequency, under adequately tuned design conditions, can have a beneficial effect on cycloidal rotor performance.
... To this end, data for a cyclogyro of similar dimensions as the wind turbine, operating in propulsion mode (V wind = 0), is used. This configuration, here denominated IAT21-L3 rotor, was analysed as a part of a major European ongoing project, which aims to develop the cyclogyro technology as a mean of propulsion for small and medium size aircraft [12,[15][16][17][18][19]. It is obvious that the results obtained for the IAT21-L3 rotor does not faithfully represent the features of a VAWT, since in propulsion mode energy is being provided and not extracted from the flow. ...
Conference Paper
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In the paper, four key design parameters with a strong influence on the performance of a small-scale high solidity variable pitch VAWT (Vertical Axis Wind Turbine), operating at low tip-speed-ratio (TSR) are addressed. To this aim a numerical approach, based on a finite-volume discretization of two-dimensional Unsteady RANS equations on a multiple sliding mesh, is proposed and validated against experimental data. The self-pitch VAWT design is based on a straight blade Darrieus wind turbine with blades that are allowed to pitch around a feathering axis, which is also parallel to the axis of rotation. The pitch angle amplitude and periodic variation are dynamically controlled by a four-bar-linkage system. We only consider the efficiency at low and intermediate TSR, therefore the pitch amplitude is chosen to be a sinusoidal function with a considerable amplitude. The results of this parametric analysis will contribute to define the guidelines for building a full size prototype of a small scale turbine of increased efficiency. Copyright © 2015 by ASME Country-Specific Mortality and Growth Failure in Infancy and Yound Children and Association With Material Stature Use interactive graphics and maps to view and sort country-specific infant and early dhildhood mortality and growth failure data and their association with maternal
... The existing aerodynamic analytical models [13][14][15] of cycloidal propellers generally fall into categories of either 2D quasi-steady or unsteady methods. These models present simple solution methodologies and almost use moment theory to model the inflow. ...
Article
A new unsteady three-dimensional aerodynamic performance prediction approach is established to achieve fast and accurate prediction of the unsteady aerodynamics of cycloidal propellers. This model is developed by the coupling of momentum theory, lifting-line method, free wake model, and the Leishman–Beddoes semi-empirical dynamic stall model. The overall calculation process includes two parts. Firstly, to reduce the computational time and improve the computational convergence, the momentum theory is coupled with the Leishman–Beddoes semi-empirical dynamic stall model to predict a uniform inflow velocity through the cycloidal propeller disc, which is set as the initial induced velocity for iterations in the subsequent process. Then, the blade aerodynamic model, which couples the unsteady lifting-line method with the Leishman–Beddoes dynamic stall model, is used to calculate the unsteady aerodynamic response of blades. The wake of cycloidal propeller is represented by a serious of finite-length shed and trailing vortex elements, and the free wake model is utilized to model the dynamics of cycloidal propeller wake. Predictions from the present model are shown to be agreed reasonably well with the overall experimental data and the computational fluid dynamics results, both in terms of the aerodynamic performance prediction of cycloidal propeller and instantaneous blade force variations.
... The smaller correctors κ required for the IAT21 and McNabb experimental data may be due to the fact that their experimental model had full cylinders which are known to reduce the three-dimensionality of the flow. To verify this hypothesis, a previously developed three-dimensional fluid dynamics model (Gagnon et al., 2014c) is used to confirm the influence of the use of endplates on the rotor. A short description of the model along with the computed effect of the endplates is presented in the following paragraph. ...
... To this end, data for a cyclogyro of similar dimensions as the wind turbine, operating in propulsion mode (V wind ¼ 0), are used. This configuration, here denominated IAT21-L3 rotor, was analyzed as a part of an European research project, which aimed to develop the cyclogyro technology as a mean of propulsion for small and medium size aircraft [13,18,[20][21][22][23]. It is obvious that the results obtained for the IAT21-L3 rotor do not faithfully represent the features of a VAWT, since in propulsion mode energy is being provided and not extracted from the flow. ...
Article
In this paper, four key design parameters with a strong influence on the performance of a high-solidity variable pitch vertical axis wind turbine (VAWT) operating at low tip-speed-ratio (TSR) are addressed. To this aim, a numerical approach, based on a finite-volume discretization of two-dimensional (2D) unsteady Reynolds-averaged Navier–Stokes (URANS) equations, on a multiple sliding mesh, is proposed and validated against experimental data. The self-pitch VAWT design is based on a straight-blade Darrieus wind turbine with blades that are allowed to pitch around a feathering axis, which is also parallel to the axis of rotation. The pitch angle amplitude and periodic variation are dynamically controlled by a four-bar linkage system. We only consider the efficiency at low and intermediate TSR; therefore, the pitch amplitude is chosen to be a sinusoidal function with a considerable amplitude. The results of this parametric analysis will contribute to define the guidelines for building a full-size prototype of a small-scale wind turbine of increased efficiency. [DOI: 10.1115/1.4032794]
... The EU-FP7 funded CROP (Cycloidal Rotor Optimized for Propulsion) project strives to design a cycloidal propulsion system that is suitable for manned and unmanned aerial vehicles. In order to asses the applicability of cyclorotors in large scale, several studies have been taken using pure analytical 16,17 and CFD 18,19 approximations. It was concluded that CROP could introduce into the aeronautical market several advantages in comparison with traditional VTOL, fixed wing air vehicles and hybrid aircrafts. ...
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In the following paper we introduce PECyT system for enhancing the aerodynamic efficiency of cycloidal rotors. For that purpose the incorporation of Dielectric Barrier Discharge plasma actuators for active flow control on a pitching airfoil, under deep-stall conditions, will be assessed using a numerical tool. Two different arrangements of DBD actuators will be analysed, namely single-and multi-DBDs configurations. For the single-DBD plasma actuator the effect of different modes of actuation on the lift coefficient will also be studied. We will show that the multi-DBD actuator, in a steady-actuation mode, could delay stall and allows for a faster reattachment of the flow. However during the downstroke phase of the pitching cycle the unsteady operation of a single-DBD gives us the best results in terms of lift coefficient.
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The viability of a cyclorotor for powering a hover-capable micro air vehicle (MAV) was examined by making performance and flow field measurements. Parametric studies were conducted to determine the dependence of performance on rotational speed, the amplitude of the blade pitch, the blade airfoil shape, and blade flexibility. All of the experiments were conducted using a three-bladed cyclorotor system, which was built light enough to be used on an actual flight-capable MAV. While higher blade pitch angles were found to improve performance and increase the power loading of the cyclorotor, significant bending and torsional flexibility of the blades had a deleterious effect on performance. Blade section camber also proved to be detrimental to overall performance. Force measurements showed the presence of a significant sideward force on the cyclorotor (along with the vertical thrust force), analogous to that found on a spinning circular cylinder. Particle image velocimetry (PIV) measurements made in the wake of the cyclorotor provided evidence of a significant wake skewness, which was produced by the sideward force. The thrust produced by the cyclorotor was found to increase until a blade pitch angle of 45° was reached without showing any signs of blade stall. This behavior was also explained using the PIV measurements, which indicated evidence of a stall delay as well as possible increases in lift on the blades from the presence of a leading edge vortex.
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The problem of interpolating between discrete fields arises frequently in computational physics. The obvious approach, consistent interpolation, has several drawbacks such as suboptimality, non-conservation, and unsuitability for use with discontinuous discretisations. An alternative, Galerkin projection, remedies these deficiencies; however, its implementation has proven very challenging. This paper presents an algorithm for the local implementation of Galerkin projection of discrete fields between meshes. This algorithm extends naturally to three dimensions and is very efficient.
Design and performance tests of cycloidal propulsion systems
  • S J Kim
  • C Y Yun
  • D Kim
  • Y Yoon
  • I Park
Kim, S. J., Yun, C. Y., Kim, D., Yoon, Y., and Park, I., "Design and performance tests of cycloidal propulsion systems," 44th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Norfolk, Virginia, April 7-10 2003, AIAA-2003-1786.