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Keywords = nutation drive

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29 pages, 5814 KB  
Article
Analysis of Natural Characteristics of the Dual-Path Nutation Face Gear Transmission System
by Yuxin Wang, Wang Li, Yuqiang Cai, Dengyang Zhao, Yi Liu, Jingzi Zhang and Xueyan Zhang
Appl. Sci. 2026, 16(10), 5055; https://doi.org/10.3390/app16105055 - 19 May 2026
Viewed by 285
Abstract
The nutation face gear transmission combines the high contact ratio of face gears with the large reduction ratio of nutation drives, making it a promising transmission solution. However, the natural characteristics of the dual-path system under multi-stiffness coupling remain insufficiently understood. A 22-degree-of-freedom [...] Read more.
The nutation face gear transmission combines the high contact ratio of face gears with the large reduction ratio of nutation drives, making it a promising transmission solution. However, the natural characteristics of the dual-path system under multi-stiffness coupling remain insufficiently understood. A 22-degree-of-freedom bending–torsional–axial coupled dynamic model is established using the lumped parameter method, incorporating axial vibration of the face gears and torsional deformation of the input shaft. By solving the undamped free vibration equations, the natural frequencies, mode shapes and stiffness effects are obtained, and the key stiffness parameters governing lower-order modal behavior are identified. The results indicate that no rigid body modes exist, while structural symmetry leads to repeated frequencies in specific modes. The lower-order modes are dominated by torsional vibration of the input shaft. The intermediate modes are characterized by the coupled vibration of the local branch and the output face gear. The higher-order modes are dominated by the vibration of the nutation face gear and exhibit coupled characteristics. The results identify input-shaft torsional stiffness as a key parameter for lower-order modal tuning, while support stiffness mainly affects local modes and exhibits saturation behavior. This study provides theoretical guidance for resonance avoidance and load-sharing optimization. Full article
(This article belongs to the Section Mechanical Engineering)
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28 pages, 6531 KB  
Article
Research on the Design and Meshing Performance Analysis of Face Gear Face Gear Meshing Nutation Reducers
by Haoyu Chen, Qinghai Li and Chao Jia
Mathematics 2025, 13(3), 476; https://doi.org/10.3390/math13030476 - 31 Jan 2025
Cited by 5 | Viewed by 2028
Abstract
In view of the problems of the complex design, difficult machining, and high manufacturing cost of a traditional nutation reducer, this paper intends to design a nutation reducer and study its meshing performance. First, the meshing pair is designed by the method of [...] Read more.
In view of the problems of the complex design, difficult machining, and high manufacturing cost of a traditional nutation reducer, this paper intends to design a nutation reducer and study its meshing performance. First, the meshing pair is designed by the method of internal and external cutting of the shaper cutter, and the method of face gear tooth surface modification is proposed. Second, based on tooth contact analysis (TCA) and loaded tooth contact analysis (LTCA), the contact performance of the meshing pair is studied. Then, the nutation reducer is improved by using the pair instead of the internal bevel gear pair. Finally, examples are presented to test the feasibility of the improved design. The results show that the improved nutation reducer maintains the advantages of a large transmission ratio and high bearing capacity of the traditional nutation reducer and can make use of the advantages of face gears to further improve its transmission performance. This study can lay a foundation for the further application and popularization of nutation reducers. Full article
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28 pages, 13716 KB  
Article
Stability Assessment of the High-Speed Flywheel with AMBs on a Rotating Platform
by Yulan Zhao, Pingfan Liu, Qichao Lv, Kai Zhang and Lei Zhao
Energies 2024, 17(11), 2746; https://doi.org/10.3390/en17112746 - 4 Jun 2024
Cited by 4 | Viewed by 3125
Abstract
With the continuous improvement of the performance and capabilities of spacecrafts, the application of active magnetic bearings (AMBs) has become a major focus in current research. The AMBs-flywheel system is not only responsible for attitude control but also provides the required energy during [...] Read more.
With the continuous improvement of the performance and capabilities of spacecrafts, the application of active magnetic bearings (AMBs) has become a major focus in current research. The AMBs-flywheel system is not only responsible for attitude control but also provides the required energy during shadow periods. In magnetically suspended single gimbal control moment gyroscope (SGCMG), self-excited vibration caused by high-speed rotor rotation significantly affects the stability of the AMB system. The research focus lies in magnetically supporting the flywheel at high speeds with low power consumption to explore gyroscopic mechanics at ultra-high speeds and assess the corresponding stability. This study presents an assessment of the stability performance of a high-speed flywheel equipped on a single gimbal with an angular momentum of 75 Nm. To achieve ultra-high-speed operation under low driving power, a high-precise dynamic balance was performed followed by a novel unbalance control strategy of a radial and axial automatic balancing algorithm to suppress effectively synchronous vibrations due to nutation and precession. Corresponding experiments including static stable suspension experiments as well as low-speed, high-speed, and series-based stability assessments were conducted. Stable suspension at any speed ranging from 0 to 30,000 r/min was successfully implemented. The stability performance of the high-speed flywheel on a rotating platform at different gimbal speeds was verified, with a maximum speed reaching 31,200 r/min. The entire output torque process within the range of 30,000 r/min was revealed. Full article
(This article belongs to the Special Issue The Past, Present, and Future of Flywheel Energy Storage)
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14 pages, 4640 KB  
Article
Design and Simulation Analysis of Piezoelectric Ceramic Tube-Based Fiber Optic Nutator Applied to an Intersatellite Laser Communication System
by Bo Peng, Ping Ruan, Junfeng Han, Xiangyu Li, Zhiyuan Chang, Yifan Wang and Xuan Wang
Photonics 2023, 10(7), 769; https://doi.org/10.3390/photonics10070769 - 4 Jul 2023
Cited by 5 | Viewed by 3121
Abstract
The signal-receiving end of acquisition, pointing, and tracking (APT) systems applied to intersatellite laser communication terminals usually uses a fast-steering mirror (FSM) to control the fiber-coupling process, has a complex structural design, and induces large errors in the nonideal coaxial optical path. Herein, [...] Read more.
The signal-receiving end of acquisition, pointing, and tracking (APT) systems applied to intersatellite laser communication terminals usually uses a fast-steering mirror (FSM) to control the fiber-coupling process, has a complex structural design, and induces large errors in the nonideal coaxial optical path. Herein, we propose a fiber-optic nutator using a piezoelectric ceramic tube (PCT) as the driving unit that allows scanning in the focal plane of the light signal to achieve active fiber coupling in the APT system. Specifically, this article describes the structural design principle of a PCT-based fiber optic nutator, establishes a simulation model of the mechanism, and proves the correctness of the simulation model by measuring the deflection angle of a PCT based on a parallel light collimator. The minimum accuracy of the designed nutator was 0.145 μm, the maximum nutation radius R was 20.09 μm, and the maximum nutation bandwidth was 20 kHz, as determined through simulation. Finally, the design parameters of the nutator were evaluated. The PCT-based fiber optic nutator, which met the design parameters, structurally replaced the fiber optic coupling component FSM and fine tracking camera in conventional APT systems successfully. Therefore, the PCT-based fiber optic nutator allows the active coupling control of signal light to a single-mode fiber (SMF) based on energy feedback on a theoretical basis and promotes the lightweight design of relay optical paths in APT systems. In addition, with future work in optimization of the nutation control algorithm, the scanning range and accuracy of the nutator can be improved. Full article
(This article belongs to the Section Optical Communication and Network)
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19 pages, 6292 KB  
Article
Mathematical Modeling and Machining of the Internal Double-Arc Spiral Bevel Gear by Finger Milling Cutters for the Nutation Drive Mechanism
by Dawei Zhang, Zhenya Wang, Ligang Yao and Daizhi Xie
Machines 2022, 10(8), 663; https://doi.org/10.3390/machines10080663 - 5 Aug 2022
Cited by 5 | Viewed by 5064
Abstract
A method of machining the internal double-arc spiral bevel gear with a finger milling cutter was presented. The mathematical model of the internal spiral bevel gear tooth profile was established considering the principle of machining a spiral bevel gear by the generating method, [...] Read more.
A method of machining the internal double-arc spiral bevel gear with a finger milling cutter was presented. The mathematical model of the internal spiral bevel gear tooth profile was established considering the principle of machining a spiral bevel gear by the generating method, and a three-dimensional (3D) tooth profile graph was developed. Subsequently, by applying the gear meshing theory, the 3D model of the tooth alignment curve for the finger milling cutter was established. Based on the tooth surface equation of crown gear, the cutter intercept equation was derived. The cutter was divided into four finger milling cutters considering the design difficulty of the cutter, which is used to manufacture different arc segments of the double-arc tooth profile, respectively. The special machining tool model of the internal spiral bevel gear was further developed by using SolidCam, and the simulation experiment was carried out. The simulated gear model was compared with the theoretical gear model and the error of the simulation experiment was estimated. Actual machining on the machine tool and the internal spiral bevel gear were inspected. The maximum error is 0.035 mm, and the minimum error is 0.005 mm. The machining accuracy meets the requirements. The feasibility of machining the internal double-arc spiral bevel gear with a finger milling cutter was verified. Full article
(This article belongs to the Special Issue Noise and Vibration in Machine Tools)
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14 pages, 4493 KB  
Article
Mathematic Modelling and Numerical Analysis for a Novel Inner-Type Nutation Magnetic Drive
by Meiyan Lou and Ligang Yao
Energies 2020, 13(6), 1346; https://doi.org/10.3390/en13061346 - 13 Mar 2020
Cited by 10 | Viewed by 3074
Abstract
This paper presents an inner-type of magnetic gears for non-contact driving, based on the nutation gearing principle. An improved three-dimensional analytical model, based on the magnetic vector potential of rectangular permanent magnets, via the equivalent current, is deduced for the proposed nutation magnetic [...] Read more.
This paper presents an inner-type of magnetic gears for non-contact driving, based on the nutation gearing principle. An improved three-dimensional analytical model, based on the magnetic vector potential of rectangular permanent magnets, via the equivalent current, is deduced for the proposed nutation magnetic gears. The transformation of coordinates is applied for a global field solution. The analytical model and the finite element model have analyzed the output torque of the nutation magnetic drive, respectively. The results show that the values calculated by the two models are consistent. The proposed analytical model can provide a reference for the design and optimization of nutation magnetic gears and other permanent magnetic mechanisms with rectangular magnets. Full article
(This article belongs to the Section F: Electrical Engineering)
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12 pages, 3685 KB  
Article
An Underwater Vector Propulsion Device Based on the RS+2PRS Parallel Mechanism and Its Attitude Control Algorithm
by Rui Wang, Xiangyu Guo and Shisheng Zhong
Appl. Sci. 2019, 9(23), 5210; https://doi.org/10.3390/app9235210 - 29 Nov 2019
Cited by 14 | Viewed by 5357
Abstract
In order to overcome the disadvantages of some existing autonomous underwater vehicles (AUVs), such as actuator extraposition and degree-of-freedom (DOF) redundancy, a 2-DOF vector propeller propulsion system with built-in actuator based on the deficient DOF parallel mechanism is proposed. The RS+2PRS (Revolute-Spherical+ Prismatic-Revolute-Spherical) [...] Read more.
In order to overcome the disadvantages of some existing autonomous underwater vehicles (AUVs), such as actuator extraposition and degree-of-freedom (DOF) redundancy, a 2-DOF vector propeller propulsion system with built-in actuator based on the deficient DOF parallel mechanism is proposed. The RS+2PRS (Revolute-Spherical+ Prismatic-Revolute-Spherical) parallel mechanism is used as the main structure, and the driving parts are placed in the interior of the AUV cabin, which is beneficial to the sealing and protection of the propulsion system. In addition, the motion parameters decoupling shows that the two independent parameters are the precession angle and the nutation angle of the propeller installation platform. Therefore, the attitude control algorithm uses two prismatic joints as driving units to establish the nonlinear mapping model with the two Euler attitude angles. In the end, the simulation analysis and the real device are used to verify the feasibility of the attitude control algorithm and the in situ adjustment function of the propeller, which lays the theoretical foundation for engineering applications in the future. Full article
(This article belongs to the Special Issue Advances on Underwater Robotics and Automation)
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