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Search Results (202)

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Keywords = Euler Angle

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24 pages, 6183 KiB  
Article
Micromechanics Modeling on Mechanical Properties in Mg Alloys with Bimodal Grain Size Distribution
by Shaojie Li, Jianfeng Jin, Hao Sun, Yongbo Wang, Yuping Ren, Mingtao Wang and Gaowu Qin
Nanomaterials 2024, 14(22), 1807; https://doi.org/10.3390/nano14221807 - 11 Nov 2024
Viewed by 262
Abstract
Bimodal grain structure (BGS) Mg alloys containing a high fraction of fine grains (FGs) and a low fraction of coarse grains (CGs) show a good combination of strength and plasticity. Here, taking the ZK60 alloy as an example, the influences of CG size, [...] Read more.
Bimodal grain structure (BGS) Mg alloys containing a high fraction of fine grains (FGs) and a low fraction of coarse grains (CGs) show a good combination of strength and plasticity. Here, taking the ZK60 alloy as an example, the influences of CG size, volume fraction, and texture intensity on mechanical properties and the hetero-deformation-induced (HDI) effect were examined using the Mori–Tanaka mean-field method combined with strain gradient theory of plasticity. The results indicate that the overall mechanical properties decrease with an increase in CG size because the limited HDI effect cannot compensate for the strength and plasticity decrease derived from larger CGs. A higher aspect ratio of CG along the loading direction can weaken the HDI effect and subsequently reduce the overall mechanical properties. Optimal comprehensive mechanical properties can be achieved when the CG volume fraction is approximately 30%. Furthermore, an increasing basal texture intensity in CG results in higher yield strength and lower ultimate tensile strength, while the uniform elongation reaches a maximum value when ~60% of CGs possess hard orientations with Euler angles of (0~30°, 0°, 0°). Full article
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17 pages, 6507 KiB  
Article
Microstructure Evolution and Mechanical Properties of Pure Ti Alloy Sheet Fabricated by Double-Side Corrugated Rolling
by Zhihao Du, Wei Zhang and Jianchao Han
Metals 2024, 14(11), 1242; https://doi.org/10.3390/met14111242 - 31 Oct 2024
Viewed by 350
Abstract
In this study, pure Ti alloy sheets were fabricated by double corrugated roll + flat roll rolling (DCFR) and flat roll + flat roll rolling (FFR) at 700 °C and 400 °C, respectively. The microstructure, texture, and mechanical properties were investigated systematically. The [...] Read more.
In this study, pure Ti alloy sheets were fabricated by double corrugated roll + flat roll rolling (DCFR) and flat roll + flat roll rolling (FFR) at 700 °C and 400 °C, respectively. The microstructure, texture, and mechanical properties were investigated systematically. The results showed that the recrystallization fraction was small and there were a large number of substructures and deformation structures in the two rolling processes. The textures of the sheet rolled at 700 °C and 400 °C were the basal bimodal TD texture and mainly consisted of B and E types with Euler angles (15°, 25°, 0°) and (15°, 30°, 30°). Compared with the FFR sheet, the texture was weakened at the center of the DCFR sheet rolled at 700 °C, while the texture weakening of the sheet rolled at 400 °C is insignificant. The tensile strength of the sheet rolled by DCFR at 400 °C was about 90 MPa higher than that of the sheet rolled by DCFR at 700 °C. The elongation in the rolling direction is almost 15%, and that in the transverse direction varies from 10% to 23% for the sheet rolled at different temperatures and rolling processes. The tensile test indicates that the alloy rolled by DCFR at 400 °C exhibits superior isotropy. Through the analysis of texture types, it is discovered that although the texture intensity of the alloy is higher than that of the FFR alloy, its more abundant texture types weaken its anisotropy. After annealing at 650 °C for 1 h, the grains recrystallized from the deformed and elongated state into equiaxed crystals, the texture intensity decreased, and the grain orientation became more diversified. Full article
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20 pages, 6803 KiB  
Article
Attitude Practical Stabilization of Underactuated Autonomous Underwater Vehicles in Vertical Plane
by Yuliang Wang, Han Bao, Yiping Li and Hongbin Zhang
J. Mar. Sci. Eng. 2024, 12(11), 1940; https://doi.org/10.3390/jmse12111940 - 30 Oct 2024
Viewed by 463
Abstract
Due to the singularity of Euler angles and the ambiguity of quaternions, to further expand the attitude reachable range of underactuated AUVs in the vertical plane, SO(3) is used to represent the attitude change of underactuated AUVs. The transverse [...] Read more.
Due to the singularity of Euler angles and the ambiguity of quaternions, to further expand the attitude reachable range of underactuated AUVs in the vertical plane, SO(3) is used to represent the attitude change of underactuated AUVs. The transverse function of the attitude on SO(3) is designed, and the exponential mapping method is used to construct the attitude kinematic controller of underactuated AUVs. Considering the changes in the model and ocean current during motion, interval type II fuzzy systems (IT2-FLSs) are used to estimate these changes. The backstepping method and the small gain theorem are adopted to design dynamic controllers to ensure the stability and robustness of the system. A novel saturation auxiliary system is designed to compensate for the influence of actuator saturation characteristics. Finally, the simulation results verify the effectiveness of the proposed controller and ensure the practical stabilization of the underactuated AUV attitude. Full article
(This article belongs to the Special Issue Motion Control and Path Planning of Marine Vehicles—3rd Edition)
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8 pages, 261 KiB  
Reply
Reply to Bektaş, S. Comment on “Ioannidou, S.; Pantazis, G. Helmert Transformation Problem. From Euler Angles Method to Quaternion Algebra. ISPRS Int. J. Geo-Inf. 2020, 9, 494”
by George Pantazis and Stefania Ioannidou
ISPRS Int. J. Geo-Inf. 2024, 13(10), 366; https://doi.org/10.3390/ijgi13100366 - 18 Oct 2024
Viewed by 366
Abstract
The comment disputes some of the inferences in the paper “Helmert Transformation Problem. From Euler Angles Method to Quaternion Algebra”, published in this journal. The key points in the dissent are the following: (1) The number of unknown parameters in the reverse transformation [...] Read more.
The comment disputes some of the inferences in the paper “Helmert Transformation Problem. From Euler Angles Method to Quaternion Algebra”, published in this journal. The key points in the dissent are the following: (1) The number of unknown parameters in the reverse transformation problem using dual quaternions. (2) The reliability of both data and the results. (3) There should be no differences between Euler angles and quaternion methods. Our response is summarized as follows: (1) The problem can be solved using either eight or nine unknown parameters. (2) All the data and results are real. (3) There should be differences between methods because of different calculations. Full article
13 pages, 1742 KiB  
Article
Visual-Inertial Method for Localizing Aerial Vehicles in GNSS-Denied Environments
by Andrea Tonini, Mauro Castelli, Jordan Steven Bates, Nyi Nyi Nyan Lin and Marco Painho
Appl. Sci. 2024, 14(20), 9493; https://doi.org/10.3390/app14209493 - 17 Oct 2024
Viewed by 647
Abstract
Estimating the location of unmanned aerial vehicles (UAVs) within a global coordinate system can be achieved by correlating known world points with their corresponding image projections captured by the vehicle’s camera. Reducing the number of required world points may lower the computational requirements [...] Read more.
Estimating the location of unmanned aerial vehicles (UAVs) within a global coordinate system can be achieved by correlating known world points with their corresponding image projections captured by the vehicle’s camera. Reducing the number of required world points may lower the computational requirements needed for such estimation. This paper introduces a novel method for determining the absolute position of aerial vehicles using only two known coordinate points that reduce the calculation complexity and, therefore, the computation time. The essential parameters for this calculation include the camera’s focal length, detector dimensions, and the Euler angles for Pitch and Roll. The Yaw angle is not required, which is beneficial because Yaw is more susceptible to inaccuracies due to environmental factors. The vehicle’s position is determined through a sequence of straightforward rigid transformations, eliminating the need for additional points or iterative processes for verification. The proposed method was tested using a Digital Elevation Model (DEM) created via LiDAR and 11 aerial images captured by a UAV. The results were compared against Global Navigation Satellite Systems (GNSSs) data and other common image pose estimation methodologies. While the available data did not permit precise error quantification, the method demonstrated performance comparable to GNSS-based approaches. Full article
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15 pages, 2867 KiB  
Article
Analytical Prediction of Multi-Phase Texture in Laser Powder Bed Fusion
by Wei Huang, Mike Standish, Wenjia Wang, Jinqiang Ning, Linger Cai, Ruoqi Gao, Hamid Garmestani and Steven Y. Liang
J. Manuf. Mater. Process. 2024, 8(5), 234; https://doi.org/10.3390/jmmp8050234 - 17 Oct 2024
Viewed by 596
Abstract
For advancing manufacturing, arising AM, with an inverse philosophical approach compared to conventional procedures, has benefits that include intricate fabrication, reduced material waste, flexible design, and more. Regardless of its potential, AM must overcome several challenges due to multi-physical processes with miscellaneous physical [...] Read more.
For advancing manufacturing, arising AM, with an inverse philosophical approach compared to conventional procedures, has benefits that include intricate fabrication, reduced material waste, flexible design, and more. Regardless of its potential, AM must overcome several challenges due to multi-physical processes with miscellaneous physical stimuli in diverse materials systems and situations, such as anisotropic microstructure and mechanical properties, a restricted choice of materials, defects, and high cost. Unlike conventional experimental work that requires extensive trial and error resources and FEM, which generally consumes substantial computational power, the analytical approach based on physics is an exceptional choice. Understanding the relationship between the microstructure and material properties of the fabricated parts is a crucial focus in AM research. Texture is a vital factor in almost every modern industry. This study first proposed a physics-based model to foreshadow the multi-phase crystallographic orientation distribution in Ti-6Al-4V LPBF while considering the part boundary conditions due to the importance of part geometry in real industry. The thermal distribution obtained from this function operates as the information for the single-phase crystallographic texture model. In this model, we forerun and validate the orientations of single-phase materials utilizing three Euler Angles with the principles of CET and thermodynamics, as well as the intensity of the texture by approximating them with published results. Then, we transform the single-phase texture into a dual-phase texture in Bunge calculation, illustrating visualized by pole figures of both BCC and HCP phases. The tendency and appearances of both BCC and HCP phases in pole figures predicted agree well with the experimental results. This texture evolution model provides a new paradigm for future researchers to model the texture or microstructure evolution semi-analytically and save many computational resources in a real-world perspective. Others have not yet done this work about simulating the multi-phase texture in an analytical approach, so this work bridges the gap in this field. Furthermore, this paper establishes the foundation for future research on materials properties affected by microstructure or texture in academic and industrial environments. The precision and dependability of the results obtained through this method make it a valuable tool for ongoing research and advancement. Full article
(This article belongs to the Special Issue Advances in Powder Bed Fusion Technologies)
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18 pages, 15800 KiB  
Article
Research on Precise Attitude Measurement Technology for Satellite Extension Booms Based on the Star Tracker
by Peng Sang, Wenbo Liu, Yang Cao, Hongbo Xue and Baoquan Li
Sensors 2024, 24(20), 6671; https://doi.org/10.3390/s24206671 - 16 Oct 2024
Viewed by 579
Abstract
This paper reports the successful application of a self-developed, miniaturized, low-power nano-star tracker for precise attitude measurement of a 5-m-long satellite extension boom. Such extension booms are widely used in space science missions to extend and support payloads like magnetometers. The nano-star tracker, [...] Read more.
This paper reports the successful application of a self-developed, miniaturized, low-power nano-star tracker for precise attitude measurement of a 5-m-long satellite extension boom. Such extension booms are widely used in space science missions to extend and support payloads like magnetometers. The nano-star tracker, based on a CMOS image sensor, weighs 150 g (including the baffle), has a total power consumption of approximately 0.85 W, and achieves a pointing accuracy of about 5 arcseconds. It is paired with a low-cost, commercial lens and utilizes automated calibration techniques for measurement correction of the collected data. This system has been successfully applied to the precise attitude measurement of the 5-m magnetometer boom on the Chinese Advanced Space Technology Demonstration Satellite (SATech-01). Analysis of the in-orbit measurement data shows that within shadowed regions, the extension boom remains stable relative to the satellite, with a standard deviation of 30′′ (1σ). The average Euler angles for the “X-Y-Z” rotation sequence from the extension boom to the satellite are [−89.49°, 0.08°, 90.11°]. In the transition zone from shadow to sunlight, influenced by vibrations and thermal factors during satellite attitude adjustments, the maximum angular fluctuation of the extension boom relative to the satellite is approximately ±2°. These data and the accuracy of the measurements can effectively correct magnetic field vector measurements. Full article
(This article belongs to the Section Remote Sensors)
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2 pages, 184 KiB  
Comment
Comment on Ioannidou, S.; Pantazis, G. Helmert Transformation Problem. From Euler Angles Method to Quaternion Algebra. ISPRS Int. J. Geo-Inf. 2020, 9, 494
by Sebahattin Bektaş
ISPRS Int. J. Geo-Inf. 2024, 13(10), 359; https://doi.org/10.3390/ijgi13100359 - 12 Oct 2024
Viewed by 406
Abstract
I have read the article by Ioannidou and Pantazis [...] Full article
18 pages, 11000 KiB  
Article
Inferring the Orientations of the Foliation and Lineation Defined by Quartz c-Axis Fabrics: Methods and Applications
by Toru Takeshita
Minerals 2024, 14(10), 1018; https://doi.org/10.3390/min14101018 - 10 Oct 2024
Viewed by 532
Abstract
In this manuscript, I introduce a convenient method to convert the Euler angles (complete crystal orientations) obtained with EBSD (electron back-scattered diffraction) to the azimuth and inclination angle of crystallographic axes to reconstruct the pole figures. This method, which is subsequently coupled with [...] Read more.
In this manuscript, I introduce a convenient method to convert the Euler angles (complete crystal orientations) obtained with EBSD (electron back-scattered diffraction) to the azimuth and inclination angle of crystallographic axes to reconstruct the pole figures. This method, which is subsequently coupled with the rotation of the pole figures, is particularly useful for the analyses of quartz c-axis fabrics in the deformed rocks, where the foliation and/or lineation is not clear or unknown. Although we arbitrarily choose the sample coordinates (Xs-Ys-Zs) in such cases, it is often possible that we can rotate the quartz c-axis pole figures so that they will exhibit a well-defined intrinsic symmetry in the rotated sample frame. The rotated XsYs-plane and Xs-direction can be now called the foliation and lineation, respectively, inversely defined by the quartz c-axis fabrics. On the other hand, the foliation and lineation clearly defined by the shape-preferred orientations (SPOs) of platy or columnar minerals can be oblique to those defined by the quartz c-axis fabrics. In this case, the former foliation and lineation could represent the total strain, while the latter ones could represent the last incremental strain, indicating triclinic deformation symmetry (e.g., triclinic transpression). Full article
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27 pages, 11433 KiB  
Article
Numerical Study of Shock Wave Interaction with V-Shaped Heavy/Light Interface
by Salman Saud Alsaeed and Satyvir Singh
Mathematics 2024, 12(19), 3131; https://doi.org/10.3390/math12193131 - 7 Oct 2024
Cited by 1 | Viewed by 649
Abstract
This paper investigates numerically the shock wave interaction with a V-shaped heavy/light interface. For numerical simulations, we choose six distinct vertex angles (θ=40,60,90,120,150, and [...] Read more.
This paper investigates numerically the shock wave interaction with a V-shaped heavy/light interface. For numerical simulations, we choose six distinct vertex angles (θ=40,60,90,120,150, and 170), five distinct shock wave strengths (Ms=1.12,1.22,1.30,1.60, and 2.0), and three different Atwood numbers (At=0.32,0.77, and 0.87). A two-dimensional space of compressible two-component Euler equations are solved using a third-order modal discontinuous Galerkin approach for the simulations. The present findings demonstrate that the vertex angle has a crucial influence on the shock wave interaction with the V-shaped heavy/light interface. The vertex angle significantly affects the flow field, interface deformation, wave patterns, spike generation, and vorticity production. As the vertex angle decreases, the vorticity production becomes more dominant. A thorough analysis of the vertex angle effect identifies the factors that propel the creation of vorticity during the interaction phase. Notably, smaller vertex angles lead to stronger vorticity generation due to a steeper density gradient, while larger angles result in weaker, more dispersed vorticity and a less complex interaction. Moreover, kinetic energy and enstrophy both dramatically rise with decreasing vortex angles. A detailed analysis is also carried out to analyze the vertex angle effects on the temporal variations of interface features. Finally, the impacts of different Mach and Atwood numbers on the V-shaped interface are briefly presented. Full article
(This article belongs to the Special Issue Numerical Solution of Differential Equations and Their Applications)
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13 pages, 3583 KiB  
Article
Gear Classification in Skating Cross-Country Skiing Using Inertial Sensors and Deep Learning
by Antonio Pousibet-Garrido, Aurora Polo-Rodríguez, Juan Antonio Moreno-Pérez, Isidoro Ruiz-García, Pablo Escobedo, Nuria López-Ruiz, Noel Marcen-Cinca, Javier Medina-Quero and Miguel Ángel Carvajal
Sensors 2024, 24(19), 6422; https://doi.org/10.3390/s24196422 - 4 Oct 2024
Viewed by 660
Abstract
The aim of this current work is to identify three different gears of cross-country skiing utilizing embedded inertial measurement units and a suitable deep learning model. The cross-country style studied was the skating style during the uphill, which involved three different gears: symmetric [...] Read more.
The aim of this current work is to identify three different gears of cross-country skiing utilizing embedded inertial measurement units and a suitable deep learning model. The cross-country style studied was the skating style during the uphill, which involved three different gears: symmetric gear pushing with poles on both sides (G3) and two asymmetric gears pushing with poles on the right side (G2R) or to the left side (G2L). To monitor the technique, inertial measurement units (IMUs) were affixed to the skis, recording acceleration and Euler angle data during the uphill tests performed by two experienced skiers using the gears under study. The initiation and termination points of the tests were controlled via Bluetooth by a smartphone using a custom application developed with Android Studio. Data were collected on the smartphone and stored on the SD memory cards included in each IMU. Convolutional neural networks combined with long short-term memory were utilized to classify and extract spatio-temporal features. The performance of the model in cross-user evaluations demonstrated an overall accuracy of 90%, and it achieved an accuracy of 98% in the cross-scene evaluations for individual users. These results indicate a promising performance of the developed system in distinguishing between different ski gears within skating styles, providing a valuable tool to enhance ski training and analysis. Full article
(This article belongs to the Special Issue Sensors for Human Posture and Movement)
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20 pages, 2474 KiB  
Article
A Numerical Integrator for Kinetostatic Folding of Protein Molecules Modeled as Robots with Hyper Degrees of Freedom
by Amal Kacem, Khalil Zbiss and Alireza Mohammadi
Robotics 2024, 13(10), 150; https://doi.org/10.3390/robotics13100150 - 2 Oct 2024
Viewed by 718
Abstract
The kinetostatic compliance method (KCM) models protein molecules as nanomechanisms consisting of numerous rigid peptide plane linkages. These linkages articulate with respect to each other through changes in the molecule dihedral angles, resulting in a kinematic mechanism with hyper degrees of freedom. Within [...] Read more.
The kinetostatic compliance method (KCM) models protein molecules as nanomechanisms consisting of numerous rigid peptide plane linkages. These linkages articulate with respect to each other through changes in the molecule dihedral angles, resulting in a kinematic mechanism with hyper degrees of freedom. Within the KCM framework, nonlinear interatomic forces drive protein folding by guiding the molecule’s dihedral angle vector towards its lowest energy state in a kinetostatic manner. This paper proposes a numerical integrator that is well suited to KCM-based protein folding and overcomes the limitations of traditional explicit Euler methods with fixed step size. Our proposed integration scheme is based on pseudo-transient continuation with an adaptive step size updating rule that can efficiently compute protein folding pathways, namely, the transient three-dimensional configurations of protein molecules during folding. Numerical simulations utilizing the KCM approach on protein backbones confirm the effectiveness of the proposed integrator. Full article
(This article belongs to the Special Issue Bioinspired Robotics: Toward Softer, Smarter and Safer)
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20 pages, 3353 KiB  
Article
Nonlinear Analysis of the Mechanical Response of an Existing Tunnel Induced by Shield Tunneling during the Entire Under-Crossing Process
by Minghua Huang, Keping Wang, Jinbin Lu, Yuxuan Zhong and Suhua Zhou
Sustainability 2024, 16(18), 8224; https://doi.org/10.3390/su16188224 - 21 Sep 2024
Viewed by 607
Abstract
The safety of existing tunnels during the entire under-crossing process of a new shield tunnel is critically important for ensuring the sustainable operation of urban transportation infrastructure. The nonlinear behavior of surrounding soils plays a significant role in the mechanical response of tunnel [...] Read more.
The safety of existing tunnels during the entire under-crossing process of a new shield tunnel is critically important for ensuring the sustainable operation of urban transportation infrastructure. The nonlinear behavior of surrounding soils plays a significant role in the mechanical response of tunnel structures. In order to assess the mechanical response of the existing tunnel more reasonably, this study attempts to propose a novel theoretical solution and calculation method by simultaneously considering the nonlinear characteristics of surrounding soils and the tunneling effects of a new tunnel during its entire under-crossing process. Firstly, the additional stresses acting on the existing tunnel stemming from the tunneling effects of a new shield tunnel during different under-crossing stages are calculated using the typical Mindlin solution, as well as the Loganathan and Poulos solutions. The influences of the additional thrust, friction force, and grouting pressure and the loss of surrounding soils are taken into account. Then, the nonlinear Pasternak foundation model is introduced to characterize the behavior of surrounding soils, and the governing differential equation for the mechanical response of the existing tunnel is derived using the typical Euler–Bernoulli beam model. Subsequently, a novel theoretical solution and calculation approach are established using the finite difference formula and the Newton iteration method for assessing the mechanical response of the existing tunnel. Finally, one case study is performed to illustrate the mechanical behavior of the existing tunnel during the whole under-crossing process of a new shield tunnel, and the validity of the developed solution is verified against both the computed result of finite element simulation and the field measurements. In addition, the influences from the ultimate resistance and reaction coefficient of surrounding soils and those from the vertical distance and intersection angle between existing and newly constructed tunnels are analyzed and discussed in detail. Full article
(This article belongs to the Section Sustainable Engineering and Science)
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22 pages, 814 KiB  
Article
Nonlinear Adaptive Control Design for Quadrotor UAV Transportation System
by Boyu Zhu and Dazhi Wang
Drones 2024, 8(9), 420; https://doi.org/10.3390/drones8090420 - 24 Aug 2024
Viewed by 504
Abstract
In response to the non-linear and underactuated characteristics of quadrotor UAV suspension transportation system, this paper proposes a novel control strategy aimed at achieving precise position control, attitude control, and anti-swing capabilities. Firstly, a dynamical model required for controller design is established through [...] Read more.
In response to the non-linear and underactuated characteristics of quadrotor UAV suspension transportation system, this paper proposes a novel control strategy aimed at achieving precise position control, attitude control, and anti-swing capabilities. Firstly, a dynamical model required for controller design is established through the Newton-Euler method. In the controller design process, the paper employs the energy method and barrier Lyapunov function to design a double-closed-loop nonlinear controller. This controller is capable of not only accurately controlling the position and attitude angles of the quadrotor UAV suspension transportation system but also effectively suppressing the swing of the payload. Building on this, considering the elastic deformation of the lifting cable, and by analyzing the forces in the Newton-Euler equations, this paper proposes an adaptive control design for the case where the length of the cable connecting the UAV and the payload is unknown. To validate the effectiveness of the proposed control scheme, comparative experiments were conducted in the MATLAB simulation environment, and the results indicate that the method proposed in this paper exhibits superior control performance compared to traditional controllers. Full article
(This article belongs to the Special Issue Dynamics Modeling and Conceptual Design of UAVs)
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13 pages, 7048 KiB  
Article
Control of Helicopter Using Virtual Swashplate
by Jonathan Flores, Sergio Salazar, Ivan Gonzalez-Hernandez, Yukio Rosales, Rogelio Lozano, Eduardo Salazar and Benjamin Nicolas
Drones 2024, 8(7), 327; https://doi.org/10.3390/drones8070327 - 16 Jul 2024
Viewed by 959
Abstract
This article presents a virtual swashplate mechanism for a mini helicopter in classic configuration. The propeller bases are part of a passive mechanism driven by main rotor torque modulaton, this mechanism generates a synchronous and opposite change in the propellers angle of attack, [...] Read more.
This article presents a virtual swashplate mechanism for a mini helicopter in classic configuration. The propeller bases are part of a passive mechanism driven by main rotor torque modulaton, this mechanism generates a synchronous and opposite change in the propellers angle of attack, then the thrust vector tilts. This approach proposes to control the 6 degrees of freedom of the aircraft using two rotors. The main rotor controls vertical displacement and uses torque modulation and swing-hinged propellers to generate pitch and roll moments and the horizontal displacement while the yaw moment is controlled by the tail rotor. The dynamic model is obtained using the Newton-Euler approach and robust control algorithms are proposed. Experimental results are presented to show the performance of the proposed virtual swashplate in real-time outdoor hover flights. Full article
(This article belongs to the Section Drone Design and Development)
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