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Mathematical Complexities in Modelling Damage in Spur Gears 支齿轮损坏建模的数学复杂性
Pub Date : 2024-05-16 DOI: 10.3390/machines12050346
Aselimhe Oreavbiere, Muhammad Khan
Analytical modelling is an effective approach to obtaining a gear dynamic response or vibration pattern for health monitoring and useful life prediction. Many researchers have modelled this response with various fault conditions commonly observed in gears. The outcome of such models provides a good idea about the changes in the dynamic response available between different gear health states. Hence, a catalogue of the responses is currently available, which ought to aid predictions of the health of actual gears by their vibration patterns. However, these analytical models are limited in providing solutions to useful life prediction. This may be because a majority of these models used single fault conditions for modelling and are not valid to predict the remaining life of gears undergoing more than one fault condition. Existing reviews related to gear faults and dynamic modelling can provide an overview of fault modes, methods for modelling and health prediction. However, these reviews are unable to provide the critical similarities and differences in the single-fault dynamic models to ascertain the possibility of developing models under combined fault modes. In this paper, existing analytical models of spur gears are reviewed with their associated challenges to predict the gear health state. Recommendations for establishing more realistic models are made especially in the context of modelling combined faults and their possible impact on gear dynamic response and health prediction.
分析建模是获得齿轮动态响应或振动模式的有效方法,可用于健康监测和使用寿命预测。许多研究人员已经利用齿轮中常见的各种故障条件对这种响应进行了建模。这些模型的结果很好地说明了齿轮在不同健康状态下的动态响应变化。因此,目前已经有了一个响应目录,这应该有助于通过振动模式预测实际齿轮的健康状况。然而,这些分析模型在提供有用寿命预测解决方案方面存在局限性。这可能是因为这些模型大多使用单一故障条件进行建模,而不能有效地预测经历多个故障条件的齿轮的剩余寿命。与齿轮故障和动态建模相关的现有综述可提供有关故障模式、建模方法和健康预测的概述。然而,这些综述无法提供单一故障动态模型的关键异同点,从而无法确定在组合故障模式下开发模型的可能性。本文回顾了现有的正齿轮分析模型,以及它们在预测齿轮健康状态方面所面临的相关挑战。特别是在模拟组合故障及其对齿轮动态响应和健康预测可能产生的影响方面,提出了建立更切合实际的模型的建议。
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引用次数: 0
An Image-Based Interactive Training Method of an Upper Limb Rehabilitation Robot 基于图像的上肢康复机器人互动训练方法
Pub Date : 2024-05-16 DOI: 10.3390/machines12050348
Changlong Ye, Zun Wang, Suyang Yu, Chunying Jiang
Aimed at the problem of human–machine interaction between patients and robots in the process of using rehabilitation robots for rehabilitation training, this paper proposes a human–machine interactive control method based on an independently developed upper limb rehabilitation robot. In this method, the camera is used as a sensor, the human skeleton model is used to analyse the moving image, and the key points of the human body are extracted. Then, the three-dimensional coordinates of the key points of the human arm are extracted by depth estimation and spatial geometry, and then the real-time motion data are obtained, and the control instructions of the robot are generated from it to realise the real-time interactive control of the robot. This method can not only improve the adaptability of the system to individual patient differences, but also improve the robustness of the system, which is less affected by environmental changes. The experimental results show that this method can realise real-time control of the rehabilitation robot, and that the robot assists the patient to complete the action with high accuracy. The results show that this control method is effective and can be applied to the fields of robot control and robot-assisted rehabilitation training.
针对使用康复机器人进行康复训练过程中患者与机器人之间的人机交互问题,本文提出了一种基于自主研发的上肢康复机器人的人机交互控制方法。该方法以摄像头为传感器,利用人体骨架模型对运动图像进行分析,提取人体关键点。然后,通过深度估计和空间几何提取人体手臂关键点的三维坐标,进而获得实时运动数据,并据此生成机器人的控制指令,实现机器人的实时交互控制。这种方法不仅能提高系统对患者个体差异的适应性,还能提高系统的鲁棒性,使其受环境变化的影响更小。实验结果表明,这种方法可以实现对康复机器人的实时控制,机器人协助病人完成动作的准确性很高。结果表明,这种控制方法是有效的,可应用于机器人控制和机器人辅助康复训练领域。
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引用次数: 0
Predicting Tool Wear with ParaCRN-AMResNet: A Hybrid Deep Learning Approach 利用 ParaCRN-AMResNet 预测刀具磨损:混合深度学习方法
Pub Date : 2024-05-15 DOI: 10.3390/machines12050341
Lian Guo, Yongguo Wang
In the manufacturing sector, tool wear substantially affects product quality and production efficiency. While traditional sequential deep learning models can handle time-series tasks, their neglect of complex temporal relationships in time-series data often leads to errors accumulating in continuous predictions, which reduces their forecasting accuracy for tool wear. For addressing these limitations, the parallel convolutional and recurrent neural networks with attention-modulated residual learning (ParaCRN-AMResNet) model is introduced. Compared with conventional deep learning models, ParaCRN-AMResNet markedly enhances the efficiency and precision of feature extraction from time-series data through its innovative parallel architecture. The model adeptly combines dilated convolution neural network and bidirectional gated recurrent units, effectively addressing distance dependencies and enriching the quantity and dimensions of extracted features. The strength of ParaCRN-AMResNet lies in its refined ability to capture the complex dynamics of time-series data, significantly boosting the model’s accuracy and generalization capability. The model’s efficacy was validated through comprehensive milling experiments and vibration signal analyses, showcasing ParaCRN-AMResNet’s superior performance. In evaluation metrics, the model achieved a MAE of 2.6015, MSE of 15.1921, R2 of 0.9897, and MAPE of 2.7997%, conclusively proving its efficiency and accuracy in the precise prediction of tool wear.
在制造业,刀具磨损严重影响产品质量和生产效率。虽然传统的序列深度学习模型可以处理时间序列任务,但它们忽视了时间序列数据中复杂的时间关系,往往导致连续预测中的误差累积,从而降低了对刀具磨损的预测精度。为了解决这些局限性,我们引入了具有注意力调节残差学习的并行卷积和递归神经网络(ParaCRN-AMResNet)模型。与传统的深度学习模型相比,ParaCRN-AMResNet 通过其创新的并行架构,显著提高了从时间序列数据中提取特征的效率和精度。该模型巧妙地结合了扩张卷积神经网络和双向门控递归单元,有效地解决了距离依赖问题,丰富了特征提取的数量和维度。ParaCRN-AMResNet 的优势在于它能够捕捉时间序列数据的复杂动态,显著提高了模型的准确性和泛化能力。该模型的功效通过全面的铣削实验和振动信号分析得到了验证,展示了 ParaCRN-AMResNet 的卓越性能。在评估指标中,该模型的 MAE 为 2.6015,MSE 为 15.1921,R2 为 0.9897,MAPE 为 2.7997%,充分证明了其在精确预测刀具磨损方面的效率和准确性。
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引用次数: 0
Electromagnetic Characterization of Permanent Magnet Eddy Current Structures Based on Backplane Distance Adjustment 基于背板间距调整的永磁涡流结构电磁特性分析
Pub Date : 2024-05-15 DOI: 10.3390/machines12050343
Yipeng Wu, Teng Wang, Tao Song, Wenxiao Guo
To address the problem of problematic spray design inside mining anchor-digging equipment, a switching seal using a permanent magnet eddy current drive is initially presented here. The layer model of the permanent magnet eddy current structure is established, the subdomain analysis model is introduced, the permanent magnet eddy current structure is divided into six regions along the axial direction, and the boundary equations are established at the interfaces of each region. The vector magnetic potential equations in each region are deduced, along with the electromagnetic torque and axial force equations. The computational results are compared and analyzed with the results of finite element simulation, verifying the accuracy of the theoretical model. The design of experiments is used to verify the feasibility of the switching seal using the permanent magnet eddy current structure.
针对矿山掘锚设备内部喷雾设计存在的问题,本文初步提出了一种采用永磁涡流驱动的开关密封装置。建立了永磁涡流结构的层模型,引入了子域分析模型,将永磁涡流结构沿轴向划分为六个区域,并建立了各区域界面的边界方程。推导出每个区域的矢量磁势方程以及电磁转矩和轴向力方程。计算结果与有限元模拟结果进行了比较和分析,验证了理论模型的准确性。实验设计用于验证使用永磁涡流结构进行开关密封的可行性。
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引用次数: 0
A Remaining Useful Life Prediction Method of Mechanical Equipment Based on Particle Swarm Optimization-Convolutional Neural Network-Bidirectional Long Short-Term Memory 基于粒子群优化-卷积神经网络-双向长短期记忆的机械设备剩余使用寿命预测方法
Pub Date : 2024-05-15 DOI: 10.3390/machines12050342
Yong Liu, Jiaqi Liu, Han Wang, Mingshun Yang, Xinqin Gao, Shujuan Li
In industry, forecast prediction and health management (PHM) is used to improve system reliability and efficiency. In PHM, remaining useful life (RUL) prediction plays a key role in preventing machine failures and reducing operating costs, especially for reliability requirements such as critical components in aviation as well as for costly equipment. With the development of deep learning techniques, many RUL prediction methods employ convolutional neural network (CNN) and long short-term memory (LSTM) networks and demonstrate superior performance. In this paper, a novel two-stream network based on a bidirectional long short-term memory neural network (BiLSTM) is proposed to establish a two-stage residual life prediction model for mechanical devices using CNN as the feature extractor and BiLSTM as the timing processor, and finally, a particle swarm optimization (PSO) algorithm is used to adjust and optimize the network structural parameters for the initial data. Under the condition of lack of professional knowledge, the adaptive extraction of the features of the data accumulated by the enterprise and the effective processing of a large amount of timing data are achieved. Comparing the prediction results with other models through examples, it shows that the model established in this paper significantly improves the accuracy and efficiency of equipment remaining life prediction.
在工业领域,预测和健康管理(PHM)被用来提高系统的可靠性和效率。在健康管理(PHM)中,剩余使用寿命(RUL)预测在防止机器故障和降低运营成本方面发挥着关键作用,特别是对于航空关键部件等可靠性要求较高的设备。随着深度学习技术的发展,许多剩余使用寿命预测方法都采用了卷积神经网络(CNN)和长短期记忆(LSTM)网络,并显示出卓越的性能。本文提出了一种基于双向长短期记忆神经网络(BiLSTM)的新型双流网络,以 CNN 作为特征提取器,以 BiLSTM 作为时序处理器,建立了机械设备的两阶段剩余寿命预测模型,最后利用粒子群优化(PSO)算法对初始数据的网络结构参数进行了调整和优化。在缺乏专业知识的条件下,实现了对企业积累数据特征的自适应提取和对大量时序数据的有效处理。通过实例将预测结果与其他模型进行对比,表明本文建立的模型显著提高了设备剩余寿命预测的准确性和效率。
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引用次数: 0
Geometric Error-Based Multi-Source Error Identification and Compensation Strategy for Five-Axis Side Milling 基于几何误差的五轴侧铣多源误差识别和补偿策略
Pub Date : 2024-05-14 DOI: 10.3390/machines12050340
Ziwen Zhao, Jian Mao, Xingchi Wei
Based on a multi-source error model, this paper discusses the principle of error element identification and uses the mirror bias method to compensate the geometric errors of a process system. Firstly, a nine-line measurement method to determine the geometric error of the linear feed axes of machine tools is introduced, and the geometric error identification model based on the “nine-line method” is established. Then, using a ballbar mounted in the axial, tangential, and radial directions of the machine, the geometric error elements of the rotation axis are identified by three simple measurements in each direction. Subsequently, for the more common flat vise clamping workpiece in actual production, the workpiece position error is identified by using the traditional process of dimensional chain, and the workpiece attitude error is identified by fitting the angle between the positioning plane and the horizontal plane by the least squares method. Finally, based on the tool position points and tool axis vectors obtained from the multi-source error model, the error compensation value is solved using inverse machine tool kinematics to offset the machining error by mirroring the error value of the same size, and based on the “S-shaped specimen” to compensate the processing experiments, after compensation, the processing error is reduced by 30~45%, verifying the effectiveness of the compensation method.
本文基于多源误差模型,探讨了误差元素识别的原理,并利用镜像偏置法补偿了加工系统的几何误差。首先,介绍了确定机床直线进给轴几何误差的九线测量法,并建立了基于 "九线法 "的几何误差识别模型。然后,使用安装在机床轴向、切向和径向方向上的球杆仪,通过在每个方向上的三次简单测量,确定旋转轴的几何误差元素。随后,针对实际生产中较为常见的平虎钳夹持工件的情况,采用传统的尺寸链流程确定工件位置误差,并通过最小二乘法拟合定位平面与水平面之间的夹角来确定工件姿态误差。最后,根据多源误差模型得到的刀位点和刀轴矢量,利用逆机床运动学求解误差补偿值,通过镜像相同大小的误差值来抵消加工误差,并基于 "S 形试样 "进行加工补偿实验,补偿后加工误差降低了 30%~45%,验证了补偿方法的有效性。
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引用次数: 0
Natural Characteristics of a Marine Two-Stage Tandem Hybrid Planetary System 海洋双级串联混合行星系统的自然特征
Pub Date : 2024-05-14 DOI: 10.3390/machines12050338
Xingfu Zhao, Z. Yue, Jianjun Qu, Marmysh Dzianis, Yanzhong Wang
This study focuses on a marine two-stage tandem hybrid planetary system. Natural frequencies and vibration modes are determined using a translational–torsional coupled dynamic model. Based on the motion characteristics of the transmission system, free vibration is categorized into three typical modes. The parameter sensitivity of natural frequencies is computed, and the effects of structural parameters such as unequally spaced planet, mesh stiffness, planet mass and rotational inertia on the natural frequencies are analyzed. Utilizing the coupling factor, the mode transition criterion for the natural frequencies response to parameters is formulated. The results demonstrate that the vibration modes of the two-stage tandem hybrid planetary system can be classified as the fixed-axis train vibration mode, the differential train vibration mode, and the coupled vibration mode. Unequally spaced planet primarily disrupts vibration modes without significantly affecting natural frequencies. In contrast, the effects of mesh stiffness, planet mass and rotational inertia on the modes are opposite to those of unequally spaced planets. The validity of the parameter sensitivity and mode transition criterion is substantiated through illustrative examples.
本研究的重点是船用双级串联混合行星系统。采用平移-扭转耦合动力学模型确定了固有频率和振动模式。根据传动系统的运动特性,将自由振动分为三种典型模式。计算了固有频率的参数敏感性,并分析了不等距行星、啮合刚度、行星质量和转动惯量等结构参数对固有频率的影响。利用耦合系数,制定了固有频率对参数响应的模态转换准则。结果表明,双级串联混合行星系统的振动模式可分为定轴列车振动模式、差动列车振动模式和耦合振动模式。不等间距的行星主要破坏振动模式,但对固有频率影响不大。相比之下,网格刚度、行星质量和转动惯量对模态的影响与不等间距行星相反。通过举例说明,证实了参数敏感性和模式转换准则的有效性。
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引用次数: 0
State-of-the-Art Lightweight Implementation Methods in Electrical Machines 最先进的电机轻量级实现方法
Pub Date : 2024-05-14 DOI: 10.3390/machines12050339
Han Zhao, Jing Li, Xiaochen Zhang, Bin Xiong, Chenyi Zhao, Yixiao Ruan, H. Wang, Jing Zhang, Zhouwei Lan, Xiaoyan Huang, He Zhang
The demand for high-power density motors has been increasing due to their remarkable output capability and compact construction. To achieve a significant improvement in motor power density, lightweight design methods have been recognized as an effective enabler. Therefore, extensive investigations have been conducted to reduce motor mass and achieve lightweight configurations through the exploration of lightweight materials, structures and manufacturing techniques. This article provides a comprehensive review and summary of state-of-the-art lightweight implementation methods for electrical machines, including the utilization of lightweight materials, structural lightweight design, and incorporation of advanced manufacturing technologies, such as additive manufacturing techniques. The advantages and limitations of each approach are also discussed in this paper. Furthermore, some comments and forecasts on potential future methodologies for motor lightweighting are also provided.
高功率密度电机具有出色的输出能力和紧凑的结构,因此市场对其的需求不断增加。为了大幅提高电机功率密度,轻量化设计方法已被视为一种有效的推动因素。因此,人们进行了广泛的研究,通过探索轻质材料、结构和制造技术来降低电机质量和实现轻质配置。本文全面回顾和总结了最先进的电机轻量化实施方法,包括轻量化材料的利用、结构轻量化设计以及先进制造技术(如增材制造技术)的融入。本文还讨论了每种方法的优势和局限性。此外,本文还对未来潜在的电机轻量化方法进行了评论和预测。
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引用次数: 0
Systematic Development of a Novel Laser-Sintering Machine with Roving Integration and Sustainability Evaluation 带巡回集成的新型激光烧结机的系统开发与可持续性评估
Pub Date : 2024-05-14 DOI: 10.3390/machines12050336
Michael Baranowski, Johannes Scholz, F. Kößler, Jürgen Fleischer
Incorporating continuous carbon fibre-reinforced polymer (CCFRP) parts within additive manufacturing processes presents a significant advancement in the fabrication of robust lightweight parts, particularly relevant to aerospace, engineering, and various industrial sectors. Nonetheless, prevailing additive manufacturing methodologies for CCFRP parts exhibit notable limitations. Techniques reliant on resin and extrusion entail extensive and costly post-processing procedures to eliminate support structures, constraining design versatility and complicating small-scale production endeavours. In contrast, laser sintering (LS) emerges as a promising avenue for industrial application. It facilitates the efficient and cost-effective manufacturing of resilient parts without needing support structures. However, the current state of research and technological capabilities has yet to yield an LS machine that integrates the benefits of continuous fibre reinforcement with the inherent advantages of the LS process. This paper describes the systematic development process according to VDI 2221 of a new type of LS machine with automated continuous fibre integration while keeping the advantages of the LS process. The resulting physical prototype of the machine is also presented. Furthermore, this study presents an approach to integrate the cost and Product Carbon Footprint of the process in the product design. For this purpose, a machine state model was developed, and the costs and Product Carbon footprint of a part were analysed based on the model. The promising potential for future lightweight products is demonstrated through the production of CCFRP parts.
在增材制造工艺中加入连续碳纤维增强聚合物(CCFRP)部件,是制造坚固轻质部件的一大进步,尤其适用于航空航天、工程和各种工业领域。然而,目前用于 CCFRP 部件的增材制造方法存在明显的局限性。依赖树脂和挤压的技术需要大量昂贵的后处理程序来消除支撑结构,从而限制了设计的多功能性,并使小规模生产变得更加复杂。与此相反,激光烧结(LS)成为一种很有前途的工业应用途径。它无需支撑结构,就能高效、经济地制造弹性部件。然而,就目前的研究和技术能力而言,还没有一台 LS 设备能将连续纤维加固的优势与 LS 工艺的固有优势融为一体。本文介绍了根据 VDI 2221 标准系统开发新型 LS 设备的过程,该设备可自动集成连续纤维,同时保持 LS 工艺的优势。本文还介绍了该机器的物理原型。此外,本研究还提出了一种在产品设计中整合工艺成本和产品碳足迹的方法。为此,开发了一个机器状态模型,并根据该模型分析了零件的成本和产品碳足迹。通过生产 CCFRP 部件,展示了未来轻质产品的巨大潜力。
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引用次数: 0
Consensus Tracking Control of Multiple Unmanned Aerial Vehicles Subject to Distinct Unknown Delays 受不同未知延迟影响的多个无人飞行器的一致跟踪控制
Pub Date : 2024-05-14 DOI: 10.3390/machines12050337
Sandy-Natalie Campos-Martínez, O. Hernández-González, M. Guerrero-Sánchez, Guillermo Valencia-Palomo, B. Targui, F. López‐Estrada
This article deals with the consensus tracking problem for multi-agent systems (MAS) under the influence of unknown time-varying delays. Each agent of the MAS is a quadrotor unmanned aerial vehicle (UAV) represented as a linear continuous-time system. The main objective of this paper is the stabilization of multi-agent systems where the control input is affected by unknown time-varying delays, which are assumed to be upper-bounded, and where these bounds are not required to be known. The proposed observer-based control scheme guarantees the consensus tracking of multi-UAV systems with the desired H∞ performance, which adds a further level of mitigation of unknown delays present in MAS systems by minimizing the H∞ norm, which measures the maximum gain from the disturbance to the controlled output of the system. For each UAV agent, an unknown input observer is employed to isolate the unknown time-varying delays in the state estimation process. With the use of an unknown input observer-based consensus tracking control, sufficient conditions are derived to ensure that all follower UAVs can reach a consensus with the leader, despite the presence of distinct unknown time-varying delays. The stability of the proposed scheme is proven using Lyapunov theory for the leader and follower agents. Finally, numerical examples are provided to illustrate the effectiveness of the proposed method.
本文讨论了在未知时变延迟影响下的多代理系统(MAS)的共识跟踪问题。多代理系统的每个代理都是四旋翼无人飞行器(UAV),用线性连续时间系统表示。本文的主要目标是控制输入受未知时变延迟影响的多代理系统的稳定,这些延迟被假定为上界,而这些上界并不需要已知。所提出的基于观测器的控制方案保证了多无人机系统以理想的 H∞ 性能进行一致跟踪,通过最小化 H∞ 准则(衡量从干扰到系统受控输出的最大增益),进一步减轻了 MAS 系统中存在的未知延迟。对于每个无人飞行器代理,采用未知输入观测器来隔离状态估计过程中的未知时变延迟。通过使用基于未知输入观测器的共识跟踪控制,得出了充分的条件,以确保尽管存在不同的未知时变延迟,所有跟随者无人机都能与领导者达成共识。利用领导者和跟随者的 Lyapunov 理论证明了所提方案的稳定性。最后,还提供了数值示例来说明所提方法的有效性。
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引用次数: 0
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