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Table of Content

    10 February 2023, Volume 44 Issue 1
    Electronic edition of this issue
    Electronic edition of this issue
    2023, 44(1):  0. 
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    Contents
    Contents
    2023, 44(1):  0. 
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    A Review of Matching Technology of Eddy Current Retarder for High Maneuvering Platform
    NING Keyan, LI Desheng, TIAN Jinshan, GAI Jiangtao, OUYANG Wei, LAN Hai, PANG Huiren
    2023, 44(1):  1-10.  doi:10.12382/bgxb.2022.0926
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    The development of high maneuvering platforms shows that the improvement of maneuverability such as high-speed driving leads to the increase of continuous braking power, and excessive temperature rise of friction parts with single mechanical braking, so it is urgent to conduct more research on retarder matching of the braking system. Firstly, the design input of retarder matching is clarified by analyzing the typical braking conditions of the high maneuvering platform. Then, a new type of eddy current retarder scheme suitable for high maneuvering brake matching is proposed by analyzing the development status and characteristics of multiple types of retarder technologies, and the main key technologies required for the development of the new type of eddy current retarder are analyzed and studied. Finally, the new retarder matching effect is studied against the background of 40t high maneuvering platform, to provide a new way for the braking technology of retarder matching for high maneuvering platforms.

    A Review on Cooperative Motion Planning of Unmanned Vehicles
    KONG Guojie, FENG Shi, YU Huilong, JU Zhiyang, GONG Jianwei
    2023, 44(1):  11-26.  doi:10.12382/bgxb.2022.0930
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    An unmanned ground swarm system consists of multiple unmanned ground mobile platforms, which can achieve common objectives through cooperation and has promising applications in military and transportation systems. Cooperative motion planning is one of the key technologies in the cooperation of unmanned swarm systems or vehicles. It has received increasing attention in both theoretical and application research. This review summarizes and analyzes recent advances in cooperative motion planning of unmanned swarm systems, and provides the background of relevant research. Then the techniques utilized in cooperative motion planning and its applications are briefly discussed considering its development in China and beyond. These techniques are categorized according to different frameworks and algorithms. With such a classification, representative works are discussed regarding their features. Moreover, the challenges and future development of cooperative motion planning are proposed.

    Dynamics Parameter Optimization for Tracked Vehicle Based on Surrogate Model Evolution
    ZHANG Faping, ZHANG Shuchang, WU Kai, ZHANG Yunhe, YAN Yan
    2023, 44(1):  27-39.  doi:10.12382/bgxb.2022.0266
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    To solve the problem of low precision and low efficiency in tracked vehicle dynamics optimization resulting from the weaknesses of traditional agent model construction and application, a parameter optimization method based on surrogate model evolution is proposed. It integrates the optimization iteration process with the dynamic construction process of the surrogate model to reduce the times of invoking the simulation model and hence improve the optimization efficiency. First, based on the vehicle’s geometric topology, a multi-body dynamics model considering track envelope effect is constructed. Then, the design space is divided into three-level subspaces. A multi-level fuzzy clustering space reduction method with spatial focus and spatial reduction and not bounded by local optimization is proposed to efficiently reduce the design parameters in the three-level subspaces. Finally, the application is verified by taking the parameter optimization process of the tracked vehicle’s multi-body dynamics model as an example. The results show that the multi-body dynamics optimization process of the tracked vehicle under three road conditions reduces the invoking times of simulation model by up to 85%; the comprehensive performance indexes representing tracked vehicle ride comfort and firing accuracy are increased by about 32.4%, 24.5% and 20.4%, respectively. It is proved that this method can effectively improve the efficiency and accuracy of dynamic model optimization.

    Multi-objective Stratified Optimization Design of Tubular Permanent Magnet Linear Motors with Nonuniform Teeth for Active Suspension
    YAN Jianhu, LI Biao, SHI Yan, ZHANG Lingyu, HENG Peiran
    2023, 44(1):  40-50.  doi:10.12382/bgxb.2022.0756
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    A Halbach tubular permanent magnet linear motor with a non-uniform teeth structure is proposed in this study to solve the problems of high ripple and low force density of a linear electromagnetic active suspension system. The end force model is derived using the analytical method, and the effects of non-uniform teeth structure on the output performance of the motor are analyzed. Based on the analysis results, five parameters, including the axial length and radial cut length of the end teeth, thickness and radial-magnetization length of the permanent magnet, and length of the inner teeth, are selected as optimization factors. Taguchi and response surface methods are adopted to optimize the maximum output force and minimum ripple of force simultaneously, and the optimal parameters are obtained. Finally, a prototype is manufactured and an experimental platform is set up to carry out the no-load and load experiments to verify the effectiveness of the proposed structure and its optimization methods.

    Inverse Design Method for Impeller Capacity Optimization of Hydrodynamic Torque Converter
    KE Zhifang, WEI Wei, LIU Cheng, GUO Meng, ZHANG Jiahua, YAN Qingdong
    2023, 44(1):  51-60.  doi:10.12382/bgxb.2022.0707
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    To optimize the blade shape while improving the flow field distribution characteristics, an optimization design of the impeller’s capacity performance is proposed by designing the blade load distribution of the impeller and combining the inverse design method in the capacity design process of the torque converter. The results show that the proposed design method can increase the impeller’s capacity coefficient by 5.2%, while the load amplitude applied to the blade by the internal flow field is reduced by 4.9%, indicating that the inverse design method can realize the optimization of capacity.

    Design of a Full-Length Effective Automotive Magnetorheological Damper with magnetically Conductive Ring of Trapezoidal Cross Section
    WU Huan, LI Yinong, ZHANG Zhida, ZHANG Ziwei, PU Huayan, LUO Jun
    2023, 44(1):  61-73.  doi:10.12382/bgxb.2021.0731
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    Magnetorheological dampers (MRD) used in automobiles are usually of small size, and the traditional MRD damping channel features short effective working length and small output damping force, which results in its limited engineering application. To solve this problem, a novel full-length effective MRD with magnetically conductive ring of trapezoidal cross section was proposed to increase the effective working length of the damping channel and slow down magnetic saturation. Based on the rheological properties of magnetorheological fluid and fluid dynamics theory, the design and calculation method of specific structure and magnetic circuit were given. Five MRDs with different structures were compared by finite element simulation. The results showed that: the proposed novel full-channel effective MRD can significantly increase the effective working length of the damping channel, reaching over 99% of the full length; it can also improve the magnetic saturation problem for a small-size MRD; in addition, under the same current excitation and size constraint, the magnetic field intensity distribution of the damping channel is more uniform, the average magnetic field intensity is larger, and the output damping force is larger; the damping characteristics of the new MRD were analyzed and compared with those of the common MRD and the full-length effective MRD with bending magnetic circuit, indicating that the new full-length effective MRD has a larger output damping force while the structure size is smaller. Finally, the LQG controller was used to analyze the vibration reduction performance, showing that the new full-length effective MRD has better vibration reduction performance than the common MRD, and can further reduce the sprung mass acceleration and tire dynamic deformation by 21.51% and 1.43%. This study can effectively expand the practical application range of small-size MRDs and has certain engineering application significance.

    Theoretical Thermodynamic Cycle Analysis of Continuous Combustion Multi-Cylinder Engine
    WU Han, ZHANG Zeyu, SUN Baigang, LI Xiangrong
    2023, 44(1):  74-83.  doi:10.12382/bgxb.2022.0121
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    The continuous combustion multi-cylinder engine has promising application prospects in mini unmanned aerial vehicles and torpedoes because of its high thermal efficiency and power density, and low vibration and noise. The engine works with separate cylinders for the compression, combustion and expansion processes. The technologies of water induction, unequal bore size, recuperator and continuous external combustion are also adopted. It is considered to have high potential in heat-work conversion. However, the lack of research on its thermodynamic cycle means the lack of theoretical guidance for the design of the engine. The engine working stages can be equivalent to 5 processes: isothermal compression, constant volume combustion, isentropic expansion, exhaust heat release and recuperation. A new theoretical thermodynamic cycle is constructed and the equation of its indicated thermal efficiency is derived. It is found that: the indicated thermal efficiency is mainly determined by the working medium’s thermo-physical property, compression ratio, expansion ratio and recuperation ratio; with the increase of compression ratio and the reduction of expansion ratio, the indicated thermal efficiency is improved; especially, isothermal compression can enlarge the recuperative temperature difference which leads to a significant increase of indicated thermal efficiency; meanwhile, the temperature and pressure in the cylinder is not increased; this engine is proved to have higher thermal efficiency and operation reliability than traditional gasoline and diesel engines; the calculation results show that the indicated thermal efficiency of the engine can reach more than 65%.

    Robust Model Predictive Control for Manned and Unmanned Vehicle Formation Based on Parameter Self-Optimization
    SONG Jiarui, TAO Gang, LI Derun, ZANG Zheng, WU Shaobin, GONG Jianwei
    2023, 44(1):  84-97.  doi:10.12382/bgxb.2022.0650
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    To solve the problem of disturbances in unmanned vehicle tracking control caused by the emergency acceleration, deceleration and steering control input of the manned leading vehicle in a formation of manned and unmanned vehicles, a parameter self-optimizing robust model predictive controller is designed. The noise extremum of the disturbances is determined by collecting and analyzing the historical data, which is scaled moderately to obtain a robust boundary. A local feedback robust controller is designed to restrain the disturbances, and the controller’s parameters are automatically optimized using the Bayesian optimization algorithm. The mixed-integer linear optimization method is used to predict the trajectory of the leading vehicle, and a robust model predictive controller is proposed to track the leading vehicle using an unmanned vehicle. The simulation and experimental results show that the robust model predictive controller designed in this paper has a significant improvement in tracking accuracy compared with traditional controllers. The controller also effectively restrains the disturbances caused by emergency acceleration, deceleration and steering control input of the manned leading vehicle, model uncertainty of unmanned tracking vehicle and other external factors. Vibration is obviously suppressed, and the robustness of the system is enhanced.

    Driving Leveling Control Method with Multi-Actuator Cooperation for Special Vehicles
    ZHANG Cong, LIU Shuang, JIANG Siyuan, LIU Shiji
    2023, 44(1):  98-107.  doi:10.12382/bgxb.2022.0928
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    To meet the requirements of special vehicle driving leveling in the important areas of the national economy and people’s livelihood, such as national defense and emergency rescue, a driving leveling control method with multi-actuator cooperation is proposed based on the theory of multi-agent cooperative consistency control. Firstly, the vertical model of the whole vehicle is decomposed into coupled multi-agent suspension nodes driven by actuators, and the dynamic model of the suspension node is established. Secondly, a trend-guided dynamic reference and reference error based on the suspension working space is constructed to get rid of the dependence of the existing driving leveling control method on the vertical height of the center of mass of the vehicle body. Furthermore, the driving leveling control method with multi-actuator cooperation based on the dynamic reference error is proposed. Finally, the effectiveness of the proposed method is verified with the vehicle system simulation software CarSim. The results show that compared with the whole vehicle leveling algorithm, the proposed algorithm can better achieve driving leveling, and that the leveling accuracy is raised by 1 to 2 orders of magnitude. This study is helpful to further enrich and improve the technology system of the active suspension control system, and provide a completely new idea and specific methodology for solving the driving leveling problem of special vehicles.

    Large-Signal Stability of On-board DC Microgrids for Hybrid Electric Armored Vehicles
    XU Haoxuan, MA Xiaojun, LIU Chunguang
    2023, 44(1):  108-116.  doi:10.12382/bgxb.2022.0472
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    The power quality and stability of an on-board DC microgrid are related to whether the electrical equipment in the vehicle can work safely and reliably. Aiming at the problem of bus voltage oscillation and instability of on-board DC microgrids under large disturbances, a large-disturbance model of an on-board DC microgrid that considers constant power load and engine-generator is established. Based on the mixed potential theory, the stability criterion of the on-board microgrid is obtained, solving the problem that existing large-disturbance analysis methods are not suitable for on-board microgrids. The influence of important parameters on the response speed and stability of the microgrid are also analyzed. Finally, the stability criterion and the accuracy of the analysis results are verified by hardware-in-the-loop simulation and bench experiments. The results show that the system satisfying the criterion can operate stably under large disturbances.

    Modeling and Optimal Control of Low-Temperature Starting Process of Electro-Mechanical Transmission for Special Tracked Vehicles
    SHUAI Zhibin, HE Shuai, LI Guohui, LI Yaoheng, LI Yong, ZHANG Ying, JIAN Hongchao
    2023, 44(1):  117-128.  doi:10.12382/bgxb.2022.0803
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    To solve the problem of long starting time of electro-mechanical transmission (EMT) for special tracked vehicles when running at extremely low temperature, a new scheme of quick cold starting for the EMT device is proposed. And a mathematical model of the cold-starting scheme, which describes the hydraulic oil temperature rising process, is constructed by analyzing the energy conversion process of the main heating components. Then two cold-starting control strategies with multiple constraints, namely, the rule-based strategy and the dynamic programming strategy, are established to determine the heating power distribution. A performance measure is designed to optimize the cold-starting control under multiple constraints including the battery power and heating capacity. The simulation results verify the feasibility of the quick cold-starting scheme which employs multi-component heating, and the proposed starting strategies can achieve the expected control goals. The strategy based on dynamic programming uses 11.9% less battery energy than the rule-based one, and 12.6% shorter starting time, which is essential to improve the cold-starting process of the EMT device.

    Trajectory Tracking Control of Dual Independent Electric Drive Unmanned Tracked Vehicle Based on MPC-MFAC
    TANG Zeyue, LIU Haiou, XUE Mingxuan, CHEN Huiyan, GONG Xiaojie, TAO Junfeng
    2023, 44(1):  129-139.  doi:10.12382/bgxb.2022.0886
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    The model mismatch caused by the simplified model and uncertainty of external environment are the main reasons for the trajectory tracking error. Especially for the unmanned tracked vehicle, its complex physical characteristics and working environment magnify the adverse effects of these two factors. To solve this problem, this paper combines the model-based and data-based control methods, and proposes a trajectory tracking control method for the dual independent electric drive unmanned tracked vehicle based on a model predictive control algorithm (MPC) combined with a model-free adaptive control algorithm (MFAC) as compensation. Firstly, based on balancing modeling accuracy and solution time, the MPC is used for feedforward solution. Then, for the inevitable differences between the simplified model in the MPC and the actual vehicle model and environmental uncertainty, the MFAC algorithm is constructed based on the dynamic tracking effect for compensation. That is, the error between the actual trajectory of the vehicle and the trajectory predicted by the model is used to correct the speed control quantities of the dual tracks solved by the MPC in real time. The simulation results show that this method can suppress the influence of internal and external uncertainties of the system to a certain extent, and improve the trajectory tracking control accuracy of the dual independent electric drive unmanned tracked vehicle in a dynamic environment.

    Adaptive Integral Robust Control for the Bidirectional Stability System of All-electric Tanks
    YUAN Shusen, DENG Wenxiang, YAO Jianyong, YANG Guolai
    2023, 44(1):  140-155.  doi:10.12382/bgxb.2022.0107
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    The bidirectional stability system of all-electric tanks is highly nonlinear, high in coupling, and have time-varying parameters. An adaptive integral robust (AIR) control design is thus proposed for such a system based on robust integral of the sign of the error feedback. First, considering that the bidirectional stability system of all-electric tanks is a high-coupling, nonlinear, and uncertain dynamic system, a realistic mechatronic analytical dynamical model is established. Second, an AIR controller is designed by combining backstepping control and adaptive control and introducing auxiliary error signals, to effectively attenuate unmodeled disturbances of the system. In addition, the AIR controller designed does not require the upper bound of the unknown disturbance in advance, but it keeps updating the disturbance to obtain its upper bound by an adaptive method, thus reducing the conservatism of its engineering application. Based on Lyapunov theory, the tank bidirectional stability system can achieve asymptotic tracking performance with continuous control input. Finally, the effectiveness of the proposed method is verified by simulation using Recurdyn-Simulink.

    Coupling Vibration Characteristics of High Linear Speed Rotor-planetary Gear Electro-mechanical Transmission System
    ZENG Gen, MA Changjun, PANG Daqian, LI Tonghui, ZHANG Nan
    2023, 44(1):  156-164.  doi:10.12382/bgxb.2022.0861
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    As the main development direction of future transmission forms, the electro-mechanical transmission system has the characteristics of large transmission power and high operating speed. During operation, the vibration of the rotor caused by its high speed interact with the vibration generated by planetary gear meshing, thus forming the coupling vibration process of the rotor-planetary gear system. A coupling vibration dynamic model of rotor-planetary gear electro-mechanical transmission system is established, the vibration characteristics of the system at different speeds are analyzed, the modal analysis of the system is performed, and the results of the modal analysis are compared with the vibration characteristics. By studying the vibration characteristics of the rotor-planetary gear system, it is revealed that system vibration increases with the speed. When passing a certain speed range, the vibration remains at a certain level. As the speed continues to rise, system vibration gradually increases. The vibration characteristics under the coupling effect of the gear system and the drive motor rotor are obtained, which provides a theoretical basis for the high-speed design of the electro-mechanical transmission system.

    Data Modeling of Multi-Axle Special Vehicles and Lateral Dynamics Applications
    CHEN Jianwei, YU Chuanqiang, LIU Zhihao, TANG Shengjin, ZHANG Zhihao, SHU Hongbin
    2023, 44(1):  165-175.  doi:10.12382/bgxb.2022.0811
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    The dynamic model of multi-axle special vehicles has strong nonlinearity. The modeling method based on physical laws requires precise model parameters and complex mathematical equations to reflect the characteristics of vehicle dynamics. In the absence of accurate prior physical parameter information of the vehicle and dynamic function relationship, to improve the fidelity of vehicle dynamics modeling, a data modeling method based on neural networks is proposed for the lateral dynamic behavior of a five-axle special vehicle. At the same time, it is used as an input to predict the state of the next moment, and the recursive update of data modeling is realized; for the closed-loop network model, a training strategy is designed for the closed-loop structure, and intermediate variables are introduced into the network model, so that the network still maintains the closed-loop structure during the training phase; the network module adopts a combination of Gate Recurrent Unit (GRU) and Full Neural Networks (FNN); the data set is generated by the TruckSim simulation model that has been verified by real vehicles. The results show that it is difficult for physical modeling to accurately predict vehicle state information without accurate prior vehicle information, and the data model has better fidelity. The closed-loop training method can make the network with a closed-loop structure have better fidelity. The maximum absolute errors of the prediction of lateral velocity and yaw velocity are only 0.079km/h and 0.342°/s; compared with the results of open-loop training, the maximum errors are reduced by 58.40% and 49.48%.

    Dynamic Prediction Model Based on Multi-level LSTM Network for Multi-agent Attack and Defense Effectiveness
    DING Wei, MING Zhenjun, WANG Guoxin, YAN Yan
    2023, 44(1):  176-192.  doi:10.12382/bgxb.2022.0192
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    Considering the difficulty of accurately predicting the operational effectiveness of multi-agent attack and defense (MAAD) systems due to multi-level coupling and irregular emergence, a dynamic prediction model based on multi-level LSTM network is constructed. The overall framework and operational process of the MAAD are clarified. Then, the multi-agent NetLogo platform is used to simulate the attack and defense confrontation process of red and blue agents in order to obtain multi-level evolutionary data of population structure and operational effectiveness when different decisions are made. On this basis, long short-term memory (LSTM) networks, which are effective in processing temporal features, are adopted to characterize the function mapping among the three layers of “individual decision, population structure, and operational effectiveness”, and to further predict the future attack and defense operational effectiveness and process based on the mapping relationship. The above modeling method has been proved to be feasible and effective in multiple simulations. The experimental results show that the prediction error of the model is only within 7%, which can serve as an effective guide for operational command and system development in MAAD systems.

    Servo Variable Displacement Characteristics of Swash Plate Axial Piston Pump
    DU Shanxiao, ZHOU Junjie, JING Chongbo, ZHANG Zhu, LIAO Wenbo
    2023, 44(1):  193-201.  doi:10.12382/bgxb.2021.0814
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    Servo variable displacement is the most commonly used variable displacement mode for swash plate axial piston pumps and has a direct influence on the pump’s performance. However, its mechanism is complicated, making it still a major obstacle to the development of swash plate axial piston pumps in China. To address challenges in the development and testing of high-pressure axial piston pumps such as high variable pressure shock and inability to brake completely, in-depth research is conducted to understand the impact of different factors on the variable displacement characteristics. The dynamic process is divided into four phases: the starting process, return process, braking process, and braking recovery process. The numerical model of the variable displacement mechanism is established by using AMEsim, and the validity of the model is verified by comparing the pressure curve test and simulation results. The servo variable displacement system is simulated numerically under different conditions of inlet damping, return damping, and return spring stiffness. The results show that both inlet and return damping affect the dynamic process of variable displacement, and the spring stiffness mainly affects the braking process.

    Analysis of High-Speed Electric Tracked Vehicle’s Handling Characteristics
    YUAN Yi, GAI Jiangtao, ZHOU Guangming, GAO Xiucai, LI Xunming, MA Changjun
    2023, 44(1):  203-213.  doi:10.12382/bgxb.2022.0764
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    In order to lay the foundation for the evaluation and control of the high-speed electric tracked vehicle’s handling stability, the open-loop handling characteristics of the vehicle are analyzed, and the vehicle yaw motion response test is conducted. Then, on this basis, the vehicle’s handling characteristics based on the driver-vehicle-road closed-loop system are analyzed. The results show that: the higher the vehicle speed is, the smaller the yaw rate stability value is; the better the road condition is, the faster the yaw rate response is; when the dynamic response characteristics of the vehicle are considered, the driver’s preview time to ensure the stability of the closed-loop system needs to be increased, and the driver’s shortest reaction delay time is shortened. In addition, faster response speed of the drive motor requires greater minimum preview time to ensure the system stability.

    Analysis of Starting and Operating Advantages of Vehicular Gas Turbine in Extremely Cold Plateau Environment
    XING Junwen, ZHANG Gengyun, YAO Xinmin, LI Jun, QIAO Xinyong
    2023, 44(1):  214-221.  doi:10.12382/bgxb.2022.0044
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    In extremely cold plateau environment, diesel engines used in the armored vehicles will encounter many problems such as long starting time, power reduction, overheating, smoking, and cylinder scratching,. According to the differences in structure and working mechanism between diesel engine and gas turbine, the influencing factors on low-temperature starting and operating process at different altitudes were compared and analyzed in detail between the two types of engines, clarifing the advantages of vehicular gas turbine ing direct cold start and stable operation on plateau. This study provides technical approaches to improve the performance of armored vehicle in cold plateau environment.

    Time-Frequency Domain Modeling and Analysis of Dynamic Characteristics of Pilot-Operated Electro-Hydraulic Pressure Regulating Valve for Wet Clutch
    REN Yanfei, XI Junqiang, CHEN Huiyan, YU Huilong, MENG Fei, ZHOU Wei
    2023, 44(1):  222-232.  doi:10.12382/bgxb.2022.0809
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    The pilot-operated electro-hydraulic pressure regulating valve (POEHPRV) is the core component of the high-power wet clutch shifting system. Due to the time-varying and strong nonlinear characteristics of its parameters in multiple stages, its frequency response characteristics are changed, which in turn affects the speed and stability of pressure response during the shifting process. The mathematical model of the POEHPRV is established based on analyzing the working principle of the POEHPRV and considering the variability of the damping coefficient, flow coefficient, and gain coefficient with oil temperature in the working process. The frequency-domain model is further built. The time-domain and frequency-domain response characteristics of the POEHPRV under different parameters are studied, and the influence of parameter variations is analyzed and discussed. The results show that increasing the bandwidth of the system response increases the pressure response speed but can reduce the damping ratio and increase the adjustment time of the pressure response. The structural parameters of the system, the input signal, and the oil temperature all affect its response characteristics. The response speed and stability of the POEHPRV in the whole working range can be quickly judged with this method, which helps improve the oil pressure dynamic tracking performance of the POEHPRV.

    Turning Model for Tracked Vehicles on Hard Ground: Analysis and Verification
    ZHANG Ruizeng, GONG Jianwei, CHEN Huiyan, LIU Haiou, LU Jiaxing
    2023, 44(1):  233-246.  doi:10.12382/bgxb.2021.0849
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    The interaction between tracked vehicles and the ground is complex. In general, methods based on shear stress-shear displacement theory require the integration of time and position, which is complicated and rarely applied to real-time vehicle control algorithms. Turning analysis of tracked vehicles typically assumes that grounding pressure is uniformly or concentratedly distributed.However, the calculations and test results show that the track-ground pressure forms multiple peaks on hard ground. In view of the above problems, based on previous studies, this paper proposes a simplified model of track-ground pressure, which has good consistency with the actual track-ground pressure on hard road surfaces. The model is then applied to the dynamic analysis of tracked vehicle turning. The vertical pressure-shear displacement relationship proposed by J.Y.Wong is employed to calculate the shear displacement when the track-grounding pressure keeps changing. A steering discretized model for tracked vehicles is proposed, and the test results show that the model has high accuracy yet still high complexity. To further simplify the model, the concepts of wheeled vehicle tire slip angle and slip rate are used.Then, a simplified tracked vehicle dynamics model is derived by using the shear stress-shear displacement theory. It avoids complex integration or summation, and can be applied to model-based motion control methods. Besides, it is almost as accurate as the complex steering analysis model.

    Gait Study and Obstacle-Surmounting Performance Analysis of a Wheel-Leg Hybrid Robot
    JIANG Yi, WANG Ting, SHAO Peiyao, XU Yao, SHAO Shiliang
    2023, 44(1):  247-259.  doi:10.12382/bgxb.2022.0823
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    In order for ground mobile robots to fulfil the requirements of environmental exploration in complex terrain, considering the high speed characteristic of wheeled robots and the strong environmental adaptability of legged robots, a wheel-leg hybrid robot is proposed. To address the vibration problem in moving and the obstacle surmounting problem in ladder climbing, the gait study and performance analysis of the robot are carried out. The force conditions of the wheel-leg structure of the robot in different landing postures are obtained from the static analysis, and combined with the motion constraints in the actual situation, the robot gaits in the tasks of moving forward, turning and obstacle-surmounting are analyzed. Then, with the ADAMS simulation software, the dynamic model is established to simulate the robot vibration and obstacle-surmounting performance in different gaits. The results show that combined with the proposed gait control method, the wheel-leg hybrid robot has better traveling efficiency and obstacle surmounting ability in complex terrain environment.

    Reconfigurable Integrated Coordination Control for Multi-Wheel Distributed Vehicles
    LI Feiran, ZHANG Yutian, WEI Chao, HU Jibin, WU Wei
    2023, 44(1):  260-269.  doi:10.12382/bgxb.2022.0795
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    The evolution of motion control technology of multi-wheel distributed independent drive platform plays an important strategic role in improving the fast maneuverability and handling stability of the special unmanned vehicles. However, at the same time, failure rate or the possibility of mutual interference of chassis active execution systems also greatly increases. To improve the performance of multi-wheel distributed drive vehicles, this paper proposed a reconfigurable integrated coordination control scheme. Considering parameter uncertainty, a sliding mode controller was introduced in the upper layer to track the reference and generate the required generalized control force. In the allocation layer, a weighted pseudo-inverse control distributor was proposed, and the configuration matrix and weight parameters were introduced to realize the model reconfiguration and adjustment of allocation target. Then the initial results were redistributed by analyzing the null-space of the control effectiveness matrix to avoid the premature saturation of the actuator. Finally, the optimal allocation from the center of gravity force vector to wheel force was completed. By setting the active executor, the implementation of the distribution target was achieved. The control distribution technology was verified by simulations and field tests based on the 6×6 distributed drive electric vehicle prototype. The results demonstrated the effectiveness and accuracy of the proposed method, which can achieve efficient, accurate, and stable drive distribution control of multi-wheel vehicles with improved steering stability and maneuverability.

    Straight Driving Transmission Efficiency Prediction of Integrated Transmission under Variable Working Conditions Based on Relevance Vector Machine with Intelligent Optimization
    ZHANG Jinbao, GAI Jiangtao, AN Yuanyuan, GUI Lin, ZHU Bingxian, ZOU Tiangang
    2023, 44(1):  270-278.  doi:10.12382/bgxb.2022.0728
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    Transmission efficiency is one of the important indicators to characterize the performance of integrated transmission devices of tracked vehicles. However, due to the complex power transmission paths inside the integrated transmission device and external working conditions, it is difficult to establish the transmission efficiency prediction model, and thus the prediction accuracy of transmission efficiency cannot be guaranteed. An approach is proposed for transmission efficiency prediction under multiple working conditions with the straight driving of the integrated transmission device. First, the statistical features are obtained by performing statistical analysis of the transmission efficiency data of 75 integrated transmission devices under different working conditions. Then, the relevance vector machine (RVM) with intelligent optimization is employed for modeling transmission efficiency prediction based on such statistical features. Further, the transmission efficiency of the integrated transmission devices is predicted under different working conditions. The results show that the mean absolute error (MAE) and the root mean square error (RMSE) of the predictions under different working conditions are controlled to within 0.01 and 0.02, respectively, which could verify the feasibility and correctness of the approach.

    Path Replanning of Multi-speed Unmanned Tracked Platforms Based on Topological Road Network
    LIU Longlong, CHEN Huiyan, LIU Hai’ou, GUAN Haijie, LU Jiaxing
    2023, 44(1):  279-289.  doi:10.12382/bgxb.2021.0827
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    To solve the problem of poor robustness and weak scene adaptability of replanning for unmanned tracked hybrid platforms in the off-road environment, a method that incorporates a multi-objective function model and uses a three-order spiral of multi-stage sampling optimization to reconstruct the planned path is proposed. This method regenerates a reference trajectory that can reach the target when no local path is found in dynamic driving. It focuses on solving the cost optimization problem during the back-off road driving of a unmanned tracked platform. The platform is also equipped with a two-speed planetary automatic mechanical transmission. The unmanned platform can switch to different gears according to the driving speed during the traveling process to meet the speed requirements under different road conditions, and thus it has high adaptability. The real vehicle platform verifies that the method proposed in this study can be used for different off-road scenarios. According to the objective cost function model of the three parameters of travel time, energy consumption, and number of shifts, the best replanning strategy can be obtained, as well as an optimal and passable route. The results show that the path replanning method reduces the time and energy costs of the planning process. The appropriate gear is selected while both time and energy, different turning radiuses and speeds are considered. Thus, the longitudinal movement performance, effectiveness, and economy of the platform are guaranteed.

    Study on Electromagnetic Characteristics of a Novel Eddy Current Brake Excited by Toothed Coils
    TIAN Jinshan, NING Keyan, PANG Huiren, LAN Hai, SHUAI Zhibin, MAO Ning, GAI Jiangtao, ZHOU Guangming
    2023, 44(1):  290-297.  doi:10.12382/bgxb.2022.0709
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    To improve the power density of fast-response and easily controlled eddy current brakes for heavy-duty vehicles, the method of constructing a three-dimensional magnetic circuit by using axially convex toothed coils and overexcitation design technology are proposed. Based on the finite element method, the steady-state and quasi-steady-state electromagnetic field calculation models of the novel high-energy eddy current brake and two traditional eddy current brakes are established, and their magnetic circuit, air gap magnetic density, eddy current distribution and overexcitation braking characteristics are analyzed. The results show that the eddy current of the novel high-energy eddy current brake is distributed in the whole axial space on the inner surface of the rotor. When the speed is less than 3500r/min, its braking torque is significantly higher than the other two traditional eddy current brakes. And the overexcitation design can effectively improve the braking performance. Since the coil current density is increased to 3 times, the braking torque is increased by 0.65 times, which can provide instantaneous high torque for vehicle emergency braking and shorten the braking distance of the vehicle by 30%.

    Path Planning and Tracking Control Method of Deep-Sea Landing Vehicle
    ZHOU Qiu, ZHOU Yue, SUN Hongming, GUO Wei, WU Kai, LAN Yanjun
    2023, 44(1):  298-306.  doi:10.12382/bgxb.2022.0089
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    A variable parameter ant colony optimization algorithm and an adaptive weight model predictive control algorithm are proposed to optimize the length of the path planned and improve the tracking accuracy of the deep-sea landing vehicle (DSLV) which operates autonomously on the complex seabed. The heuristic operator and pheromone evaporation factor of ant colony optimization are improved to reduce the length of the planned path and the number of iterations required to find the optimal path. Then, the prediction model is established based on the DSLV kinematics equation, and the idea of adaptive weight adjustment is introduced into the tracking objective function. The simulation results show that the planned path length is reduced by 4.60% and the tracking accuracy is improved by 47.6%. Compared with traditional methods, the proposed algorithms have better performance, realizing short-distance path planning and high-precision tracking.

    Experimental and Simulation Study on Axial Force Variation of Turbocharger
    WANG Cuicui, YAN Ruiqian, DING Zhanming, TONG Ding, WU Xintao, GAO Chao, ZHUANG Li
    2023, 44(1):  307-315.  doi:10.12382/bgxb.2022.0045
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    A turbocharger axial force measurement scheme based on suspension design was proposed to solve the problems of narrow measuring range and zero drift in turbocharger axial force measurement, and experimentally measure the axial load of turbocharger rotor. Furthermore, a simulation analysis model of turbocharger compressor and turbine was established, including wheel back clearance and seal ring clearance, and the reliability of the model was verified based on the test results. The general variation of axial force of turbocharger compressor and turbine wheel with working conditions was revealed through this model. The results showed that: under the condition of external blowing, the axial force of the turbocharger rotor increases with the decrease of the mass flow rate of the compressor end at the same speed; in self-circulation state, at the speed lower than rated speed, the axial force of the turbocharger rotor increases as the speed increases, while at the speed greater than rated speed, the axial force of the turbocharger rotor decreases with the increasing speed; in addition, at the same speed, the axial load of the compressor increases with the decreasing inlet mass flow except around the surge point, the axial load of the turbine increases with the increasing mass flow rate at the turbine inlet; the two regions with the largest axial loads at the compressor end and turbine end are the impeller back disk and the impeller hub, and the directions of the axial loads in the two regions are opposite.

    Extraction Method of Instantaneous Frequency Feature of Torsional Vibration Signals of Tracked Vehicle Brake
    ZHOU Cheng, LUO Yang, WEI Jiang, CAO Hongrui, LAN Hai, ZHANG Wanhao
    2023, 44(1):  316-324.  doi:10.12382/bgxb.2022.0243
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    The braking performance of tracked vehicles is one of the important indicators to evaluate their mobility. Torsional vibration caused by the engine can reduce and even fail the braking effect. Torsional vibration signals are often submerged in noise, and it is difficult to determine whether the signals feature torsional vibration. To solve these problems, a parameter-optimized variational mode decomposition (VMD) method is proposed to extract the instantaneous frequency features of the torsional vibration signals. By using the particle swarm optimization (PSO) algorithm, the energy entropy is used as the fitness function to optimize the VMD parameters, and the optimal combination is obtained. The reconstructed torsional vibration signals are interpolated by zero point linear interpolation, and the interval between the two pulses is calculated to obtain the instantaneous rotational speed fluctuation signal. Finally, the spectrum analysis of the instantaneous rotational speed fluctuation signal is done to extract the instantaneous frequency of the torsional vibration signal. The experimental results of an torsional vibration experiment show that processing the signal (sampling frequency is 20480Hz) with a rotating speed of 600r/min and a torsional vibration frequency of 50Hz, the parameter-optimized VMD can accurately extract the instantaneous frequency features of torsional vibration, and the error is less than 1%.