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Reinforcement Learning-Based Dynamic Zone Positions for Mixed Traffic Flow Variable Speed Limit Control with Congestion Detection 基于强化学习的动态区域位置,用于具有拥堵检测功能的混合交通流变速限速控制
IF 2.6 3区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-11-28 DOI: 10.3390/machines11121058
Filip Vrbanić, M. Gregurić, Mladen Miletić, E. Ivanjko
Existing transportation infrastructure and traffic control systems face increasing strain as a result of rising demand, resulting in frequent congestion. Expanding infrastructure is not a feasible solution for enhancing the capacity of the road. Hence, Intelligent Transportation Systems are often employed to enhance the Level of Service (LoS). One such approach is Variable Speed Limit (VSL) control. VSL increases the LoS and safety on motorways by optimizing the speed limit according to the traffic conditions. The proliferation of Connected and Autonomous Vehicles (CAVs) presents fresh prospects for improving the operation and measurement of traffic states for the operation of the VSL control system. This paper introduces a method for the detection of multiple congested areas that is used for state estimation for a dynamically positioned VSL control system for urban motorways. The method utilizes Q-Learning (QL) and CAVs as mobile sensors and actuators. The proposed control approach, named Congestion Detection QL Dynamic Position VSL (CD-QL-DPVSL), dynamically detects all of the congested areas and applies two sets of actions, involving the dynamic positioning of speed limit zones and imposed speed limits for all detected congested areas simultaneously. The proposed CD-QL-DPVSL control approach underwent an evaluation across six distinct traffic scenarios, encompassing CAV penetration rates spanning from 10% to 100% and demonstrated a significantly better performance compared to other control approaches, including no control, rule-based VSL, two Speed-Transition-Matrices-based QL-VSL configurations with fixed speed limit zone positions, and a Speed-Transition-Matrices-based QL-DVSL with a dynamic speed limit zone position. It achieved enhancements in macroscopic traffic parameters such as the Mean Travel Time and Total Time Spent by adapting its control policy to every simulated scenario.
现有的交通基础设施和交通控制系统因需求不断增长而面临越来越大的压力,导致拥堵频发。扩建基础设施并不是提高道路通行能力的可行办法。因此,智能交通系统通常被用来提高服务水平(LoS)。可变限速(VSL)控制就是其中一种方法。VSL 可根据交通状况优化限速,从而提高高速公路的服务水平和安全性。联网和自动驾驶车辆(CAV)的普及为改善 VSL 控制系统的运行和交通状态测量带来了新的前景。本文介绍了一种检测多个拥堵区域的方法,该方法可用于城市高速公路动态定位 VSL 控制系统的状态估计。该方法利用 Q-Learning (QL) 和 CAV 作为移动传感器和执行器。所提出的控制方法名为拥堵检测 QL 动态定位 VSL(CD-QL-DPVSL),可动态检测所有拥堵区域,并同时对所有检测到的拥堵区域采取限速区动态定位和强制限速两套措施。所提出的 CD-QL-DPVSL 控制方法在六种不同的交通场景中进行了评估,包括从 10% 到 100% 的 CAV 渗透率,与其他控制方法(包括无控制、基于规则的 VSL、两种基于速度转换矩阵的具有固定限速区位置的 QL-VSL 配置,以及一种基于速度转换矩阵的具有动态限速区位置的 QL-DVSL)相比,表现出明显更好的性能。它通过根据每个模拟场景调整控制策略,提高了平均旅行时间和总花费时间等宏观交通参数。
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引用次数: 0
A New Automated Classification Framework for Gear Fault Diagnosis Using Fourier–Bessel Domain-Based Empirical Wavelet Transform 利用基于傅立叶-贝塞尔域的经验小波变换进行齿轮故障诊断的新型自动分类框架
IF 2.6 3区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-11-28 DOI: 10.3390/machines11121055
Dada Saheb Ramteke, Anand Parey, R. B. Pachori
Gears are the most important parts of a rotary system, and they are used for mechanical power transmission. The health monitoring of such a system is needed to observe its effective and reliable working. An approach that is based on vibration is typically utilized while carrying out fault diagnostics on a gearbox. Using the Fourier–Bessel series expansion (FBSE) as the basis for an empirical wavelet transform (EWT), a novel automated technique has been proposed in this paper, with a combination of these two approaches, i.e., FBSE-EWT. To improve the frequency resolution, the current empirical wavelet transform will be reformed utilizing the FBSE technique. The proposed novel method includes the decomposition of different levels of gear crack vibration signals into narrow-band components (NBCs) or sub-bands. The Kruskal–Wallis test is utilized to choose the features that are statistically significant in order to separate them from the sub-bands. Three classifiers are used for fault classification, i.e., random forest, J48 decision tree classifiers, and multilayer perceptron function classifier. A comparative study has been performed between the existing EWT and the proposed novel methodology. It has been observed that the FBSE-EWT with a random forest classifier shows a better gear fault detection performance compared to the existing EWT.
齿轮是旋转系统中最重要的部件,用于机械动力传输。需要对这种系统进行健康监测,以观察其工作的有效性和可靠性。在对齿轮箱进行故障诊断时,通常采用基于振动的方法。本文以傅里叶-贝塞尔级数展开(FBSE)为基础,结合经验小波变换(EWT),提出了一种新的自动化技术,即 FBSE-EWT。为了提高频率分辨率,目前的经验小波变换将利用 FBSE 技术进行改革。所提出的新方法包括将不同级别的齿轮裂纹振动信号分解为窄带分量(NBC)或子带。利用 Kruskal-Wallis 检验来选择具有统计意义的特征,以便将它们从子带中分离出来。故障分类使用了三种分类器,即随机森林、J48 决策树分类器和多层感知器函数分类器。对现有的 EWT 和所提出的新方法进行了比较研究。结果表明,与现有的 EWT 相比,采用随机森林分类器的 FBSE-EWT 具有更好的齿轮故障检测性能。
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引用次数: 0
Microwave Frequency Offset Induced by Subsurface Damage in Abrasive-Machined Semiconductor Ceramic Waveguide 研磨加工半导体陶瓷波导中的表下损伤诱发的微波频率偏移
IF 2.6 3区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-11-28 DOI: 10.3390/machines11121057
Haoji Wang, J. Wei, Bin Lin, Xiaoqi Cui, Hetian Hou, Zhiyuan Fu, Jianchun Ding, Tianyi Sui
Ceramic waveguide components play a critical role in modern microwave semiconductor systems. For the first time, this work reports experimental results obtained when dielectric ceramics are abrasive-machined into waveguide components. This process will cause subsurface damage (SSD), resulting in a deviation in their working frequency which can degrade the performance of the system. For a substrate-integrated waveguide (SIW) resonator working at 10.1 GHz, SSD with a depth of 89 um can cause a maximum frequency offset of 20.2%. For a mm wave component working at 70 GHz, the corresponding frequency offset could increase to 169%. Three resonator SIW filters with SSD are studied, and the results demonstrate that the frequency offset induced by SSD can reduce the pass rate of the filters from 95.4% to 0%. A theoretical analysis is performed to reveal the mechanism and to offer a quantitative estimation of the limiting range of the offset caused by SSD. Feasible methods for reducing the offset caused by SSD, such as structure design, processing optimization, and material reinforcement, are discussed.
陶瓷波导元件在现代微波半导体系统中起着至关重要的作用。这项工作首次报告了将介电陶瓷磨蚀加工成波导元件时获得的实验结果。这一过程会造成表面下损伤(SSD),导致工作频率偏差,从而降低系统性能。对于工作频率为 10.1 GHz 的基底集成波导 (SIW) 谐振器,深度为 89 um 的 SSD 可导致最大 20.2% 的频率偏移。对于工作频率为 70 GHz 的毫米波元件,相应的频率偏移可增加到 169%。研究了三个带有 SSD 的谐振器 SIW 滤波器,结果表明 SSD 引起的频率偏移可将滤波器的通过率从 95.4% 降至 0%。理论分析揭示了其机理,并对固态分布引起的偏移的极限范围进行了定量估计。此外,还讨论了减少 SSD 偏移的可行方法,如结构设计、加工优化和材料强化。
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引用次数: 0
Design and Analysis of an Adaptive Obstacle-Overcoming Tracked Robot with Passive Swing Arms 带被动摆臂的自适应越障履带机器人的设计与分析
IF 2.6 3区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-11-27 DOI: 10.3390/machines11121051
Ruiming Li, Xianhong Zhang, Shaoheng Hu, Jianxu Wu, Yu Feng, Yan-an Yao
This paper presents a novel adaptive tracked robot equipped with passive swing arms for overcoming obstacles. First, the paper introduces the overall composition of the robot and focuses on the adaptive mechanism of the passive swing arms. Second, analyzing the single-step obstacle-overcoming process of the robot reveals the relationship between the obstacle height and the geometric parameters of the passive swing arms, establishing a kinematic model. Then, a dynamic model of the robot’s obstacle-overcoming process is established by simplifying the robot into a crank–slider linkage, and the time range for the robot to overcome obstacles is analyzed. Finally, through virtual simulation and a physical prototype, the feasibility and maneuverability of the robot’s design are verified. These findings demonstrate the potential of the robot in various applications, such as search and rescue missions and homeland security.
本文介绍了一种配备被动摆臂的新型自适应履带机器人,用于克服障碍。首先,本文介绍了机器人的整体构成,并重点介绍了被动摆臂的自适应机制。其次,通过分析机器人的单步越障过程,揭示了障碍物高度与被动摆臂几何参数之间的关系,建立了运动学模型。然后,通过将机器人简化为曲柄-滑块连杆机构,建立了机器人克服障碍过程的动态模型,并分析了机器人克服障碍的时间范围。最后,通过虚拟仿真和物理原型验证了机器人设计的可行性和可操作性。这些研究结果证明了机器人在搜救任务和国土安全等各种应用中的潜力。
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引用次数: 0
Development of Various Types of Independent Phase Based Pulsewidth Modulation Techniques for Three-Phase Voltage Source Inverters 为三相电压源逆变器开发各种基于独立相位的脉宽调制技术
IF 2.6 3区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-11-27 DOI: 10.3390/machines11121054
M. Nguyen, S. Kwak, Seung-duck Choi
Discontinuous pulse-width-modulation (DPWM) methods have been extensively used in the industrial area to reduce overall losses, which decreases the corresponding thermal stress on the power switches of converters. However, local thermal overload can arise due to different aging conditions of semiconductor devices or failure in the cooling system. This leads to reduced reliability of the converter system due to the low expected lifespan of the most aged switches or phase legs. In this paper, the modified DPWM strategies for independent control of per-phase switching loss are introduced to deal with this matter. The proposed per-phase DPWM techniques are generated by modifying the conventional three-phase DPWM methods for reducing the switching loss in a specific leg, whereas the output performance is not degraded. This paper reports on output performance, including output current total harmonic distortion (THD) and power loss of switching devices, analysis for the various modified DPWM strategies for independent control of per-phase switching loss, which is applicable in 2-level 3-phase voltage source inverters (2L3P VSIs). The results are compared to the corresponding continuous PWM technique to verify and analyze the effectiveness and accuracy of the modified DPWM strategies for independent control of per-phase switching loss.
非连续脉宽调制(DPWM)方法已广泛应用于工业领域,以降低整体损耗,从而减少转换器功率开关的相应热应力。然而,由于半导体器件的不同老化条件或冷却系统的故障,可能会导致局部热过载。由于老化最严重的开关或相脚的预期寿命较低,这会导致变流器系统的可靠性降低。本文介绍了用于独立控制每相开关损耗的改进型 DPWM 策略,以解决这一问题。所提出的每相 DPWM 技术是通过修改传统的三相 DPWM 方法产生的,用于降低特定相脚的开关损耗,而输出性能不会降低。本文报告了输出性能,包括输出电流总谐波失真(THD)和开关设备的功率损耗,分析了用于独立控制每相开关损耗的各种改进型 DPWM 策略,这些策略适用于两电平三相电压源逆变器(2L3P VSI)。结果与相应的连续 PWM 技术进行了比较,以验证和分析用于独立控制每相开关损耗的改进型 DPWM 策略的有效性和准确性。
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引用次数: 0
Performance Evaluation of Per-Phase Model Predictive Control Schemes for Extending Lifespan of Voltage Source Converters 用于延长电压源转换器寿命的每相模型预测控制方案的性能评估
IF 2.6 3区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-11-27 DOI: 10.3390/machines11121053
M. Nguyen, S. Kwak, Seung-duck Choi
Unequal thermal stress among the phase legs of a multiphase converter leads to a reduction in the useful lifespan and reliability of that converter in general. Increasing the converter’s lifespan by relieving the stressed phase leg, which suffers excessive thermal stress due to aging, is crucial. This paper evaluates two control concepts, including two per-phase model predictive control methods for extending the lifespan of a voltage source inverter. These two per-phase techniques alter the switching pattern to reduce the losses of the most aged phase leg. Hence, the loss and the corresponding thermal stress of the leg that has aged the most are reduced. In such a way, the lifespan and reliability of the converter are prolonged. Two per-phase model predictive control techniques are executed in both simulation and experiment environments, where the corresponding results are provided to evaluate the behavior of these control strategies, considering several operational aspects both in steady state and transient operation. In addition to static load conditions, two per-phase techniques are verified for the correct operation under dynamic load (induction motor) conditions.
多相变流器相脚之间的热应力不均会导致变流器的使用寿命和可靠性普遍降低。通过缓解因老化而承受过大热应力的受压相脚来延长变流器的使用寿命至关重要。本文评估了两种控制概念,包括两种用于延长电压源逆变器使用寿命的每相模型预测控制方法。这两种每相技术改变了开关模式,以减少最老化相脚的损耗。因此,老化最严重相脚的损耗和相应的热应力都会降低。这样,变流器的寿命和可靠性就得以延长。在模拟和实验环境中执行了两种每相模型预测控制技术,并提供了相应的结果,以评估这些控制策略的行为,同时考虑到稳态和瞬态运行中的几个操作方面。除静态负载条件外,还验证了两种每相技术在动态负载(感应电机)条件下的正确运行。
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引用次数: 0
The LESGIRgram: A New Method to Select the Optimal Demodulation Frequency Band for Rolling Bearing Faults LESGIR 程序:为滚动轴承故障选择最佳解调频带的新方法
IF 2.6 3区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-11-27 DOI: 10.3390/machines11121052
Tian Tian, Guiji Tang, Xiaolong Wang
Resonance demodulation of vibration signals is a common method for extracting fault information from rolling bearings. Nonetheless, demodulation quality is dependent on frequency band location. Established methods such as the Fast Kurtogram, Autogram, SKRgram, etc. have achieved satisfactory results in some cases, but the results are not good in the presence of strong white Gaussian noise and random impulses. To solve these issues, an algorithm that selects the optimal demodulation frequency band (ODFB) based on the ratio of the logarithmic envelope spectrum Gini coefficient (LESGIRgram) is proposed. The core idea of this paper is to capture the difference between the LESGIgrams of health and fault signals and accordingly locate the frequency bands that contain the most fault information. Initially, the baseline is constructed by calculating the logarithmic envelope spectrum Gini coefficient matrix of the health bearing (LESGIbaseline). Next, the LESGI matrix of the fault bearing (LESGImeasured) is computed. The ratio of LESGImeasured to LESGIbaseline is calculated, and the ODFB can be selected with the maximum LESGIR. The fault signal is then filtered using this derived ODFB, and envelope analysis is performed to extract fault features. The proposed algorithm for detecting rolling bearing faults has been verified for accuracy and effectiveness through simulation and experimental data.
振动信号的共振解调是提取滚动轴承故障信息的常用方法。然而,解调质量取决于频带位置。已有的方法,如快速库尔特图、Autogram、SKRgram 等,在某些情况下取得了令人满意的结果,但在存在强白高斯噪声和随机脉冲的情况下,效果并不理想。为了解决这些问题,本文提出了一种基于对数包络谱基尼系数比(LESGIRgram)选择最佳解调频带(ODFB)的算法。本文的核心思想是捕捉健康信号和故障信号的对数包络谱基尼系数图之间的差异,并据此定位包含最多故障信息的频段。首先,通过计算健康轴承的对数包络谱基尼系数矩阵(LESGIbaseline)来构建基线。然后,计算故障轴承的对数包络谱基尼系数矩阵(LESGImeasured)。计算出 LESGImeasured 与 LESGIbaseline 的比值,然后选择 LESGIR 最大的 ODFB。然后,利用该得出的 ODFB 对故障信号进行滤波,并进行包络分析以提取故障特征。所提出的滚动轴承故障检测算法已通过模拟和实验数据验证了其准确性和有效性。
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引用次数: 0
Efficient Navigation and Motion Control for Autonomous Forklifts in Smart Warehouses: LSPB Trajectory Planning and MPC Implementation 智能仓库中自主叉车的高效导航和运动控制:LSPB 轨迹规划与 MPC 实现
IF 2.6 3区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-11-25 DOI: 10.3390/machines11121050
Konchanok Vorasawad, Myoungkuk Park, Changwon Kim
The rise of smart factories and warehouses has ushered in an era of intelligent manufacturing, with autonomous robots playing a pivotal role. This study focuses on improving the navigation and control of autonomous forklifts in warehouse environments. It introduces an innovative approach that combines a modified Linear Segment with Parabolic Blends (LSPB) trajectory planning with Model Predictive Control (MPC) to ensure efficient and secure robot movement. To validate the performance of our proposed path-planning method, MATLAB-based simulations were conducted in various scenarios, including rectangular and warehouse-like environments, to demonstrate the feasibility and effectiveness of the proposed method. The results demonstrated the feasibility of employing Mecanum wheel-based robots in automated warehouses. Also, to show the superiority of the proposed control algorithm performance, the navigation results were compared with the performance of a system using the PID control as a lower-level controller. By offering an optimized path-planning approach, our study enhances the operational efficiency and effectiveness of Mecanum wheel robots in real-world applications such as automated warehousing systems.
智能工厂和仓库的兴起开创了智能制造时代,而自主机器人在其中扮演着举足轻重的角色。本研究的重点是改进自主叉车在仓库环境中的导航和控制。它引入了一种创新方法,将改进的抛物线混合线性段(LSPB)轨迹规划与模型预测控制(MPC)相结合,确保机器人高效、安全地移动。为了验证我们提出的路径规划方法的性能,我们在各种场景(包括矩形和类似仓库的环境)中进行了基于 MATLAB 的仿真,以证明所提方法的可行性和有效性。结果表明,在自动化仓库中使用基于 Mecanum 轮的机器人是可行的。此外,为了证明所提出的控制算法性能优越,还将导航结果与使用 PID 控制作为底层控制器的系统性能进行了比较。通过提供优化路径规划方法,我们的研究提高了 Mecanum 轮式机器人在自动化仓储系统等实际应用中的运行效率和有效性。
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引用次数: 0
G-DMD: A Gated Recurrent Unit-Based Digital Elevation Model for Crop Height Measurement from Multispectral Drone Images G-DMD:基于门控循环单元的数字高程模型,用于从多光谱无人机图像测量作物高度
IF 2.6 3区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-11-25 DOI: 10.3390/machines11121049
Jinjin Wang, Nobuyuki Oishi, Phil Birch, Bao Kha Nguyen
Crop height is a vital indicator of growth conditions. Traditional drone image-based crop height measurement methods primarily rely on calculating the difference between the Digital Elevation Model (DEM) and the Digital Terrain Model (DTM). The calculation often needs more ground information, which remains labour-intensive and time-consuming. Moreover, the variations of terrains can further compromise the reliability of these ground models. In response to these challenges, we introduce G-DMD, a novel method based on Gated Recurrent Units (GRUs) using DEM and multispectral drone images to calculate the crop height. Our method enables the model to recognize the relation between crop height, elevation, and growth stages, eliminating reliance on DTM and thereby mitigating the effects of varied terrains. We also introduce a data preparation process to handle the unique DEM and multispectral image. Upon evaluation using a cotton dataset, our G-DMD method demonstrates a notable increase in accuracy for both maximum and average cotton height measurements, achieving a 34% and 72% reduction in Root Mean Square Error (RMSE) when compared with the traditional method. Compared to other combinations of model inputs, using DEM and multispectral drone images together as inputs results in the lowest error for estimating maximum cotton height. This approach demonstrates the potential of integrating deep learning techniques with drone-based remote sensing to achieve a more accurate, labour-efficient, and streamlined crop height assessment across varied terrains.
作物高度是生长状况的重要指标。传统的基于无人机图像的作物高度测量方法主要依靠计算数字高程模型(DEM)和数字地形模型(DTM)之间的差值。这种计算方法往往需要更多的地面信息,仍然需要大量的人力和时间。此外,地形的变化会进一步影响这些地面模型的可靠性。为了应对这些挑战,我们引入了 G-DMD,这是一种基于门控递归单元(GRU)的新方法,利用 DEM 和多光谱无人机图像来计算作物高度。我们的方法使模型能够识别作物高度、海拔高度和生长阶段之间的关系,消除了对 DTM 的依赖,从而减轻了不同地形的影响。我们还引入了数据准备过程,以处理独特的 DEM 和多光谱图像。通过使用棉花数据集进行评估,我们的 G-DMD 方法显著提高了最大和平均棉花高度测量的准确性,与传统方法相比,均方根误差 (RMSE) 分别降低了 34% 和 72%。与其他模型输入组合相比,同时使用 DEM 和多光谱无人机图像作为输入,在估算棉花最大高度时误差最小。这种方法展示了将深度学习技术与无人机遥感相结合,在不同地形上实现更准确、更省力、更简化的作物高度评估的潜力。
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引用次数: 0
A New Direct and Inexpensive Method and the Associated Device for the Inspection of Spur Gears 检测正齿轮的直接、低成本新方法及相关装置
IF 2.6 3区 工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC Pub Date : 2023-11-24 DOI: 10.3390/machines11121046
S. Alaci, F. Ciornei, I. Românu, I. Doroftei, C. Bujoreanu, I. Tamașag
This paper proposes a new rapid and straightforward method along with a related device for finding the three basic parameters of an actual external involute spur gear. The number of teeth is easily counted, but the other two parameters—the module and the coefficient of profile shift—are difficult to identify. The method is based on the principle of inspection of the precision of gear teeth, using the dimension over pins, when the maximum distance is measured between the lateral surfaces of two cylindrical rollers of well-controlled dimensions, placed into the spaces between teeth. The dimension over pins is applied as a function of the number of teeth (odd or even) and requires experience (and this is the main disadvantage of the method) for finding the correct maximum distance between pins. The new method eliminates this drawback as it proposes a measuring scheme where four identical rollers are used in a designed inspection device. The system is statically determinate and, therefore, the dimension to be measured is unequivocally found. A new relation for the dimension to be measured is deduced and allows for finding the module and the coefficient of profile shift. The inspection device is described and a concrete case is presented for exemplifying the methodology. A further application permits finding the centre distance for an external spur gearing. Unlike the classical technique where the centre distance is obtained based on the centring surfaces of the wheels, the new method implies only dimensions measured through flank measurements, thus eliminating errors introduced by the deviations between the flanks and the centring surfaces of the wheels.
本文提出了一种快速简便的新方法和相关装置,用于查找实际外渐开线直齿轮的三个基本参数。齿数很容易计算,但另外两个参数--模数和齿廓偏移系数--却很难确定。该方法基于检测齿轮齿精度的原理,使用过销尺寸,即测量放置在齿间的两个尺寸控制良好的圆柱滚子的侧表面之间的最大距离。销上尺寸是作为齿数(奇数或偶数)的函数应用的,需要经验(这是该方法的主要缺点)才能找到正确的销间最大距离。新方法消除了这一缺点,因为它提出了一种测量方案,在设计的检测装置中使用四个相同的滚筒。该系统是静态确定的,因此可以明确找到待测尺寸。推导出待测尺寸的新关系式,从而可以找到轮廓移动的模数和系数。对检测设备进行了描述,并提供了一个具体案例来说明该方法。另一个应用是寻找外直齿轮的中心距。与传统技术根据轮子的中心面获得中心距不同,新方法只需要通过测量轮缘测量尺寸,从而消除了轮缘与中心面之间的偏差所带来的误差。
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引用次数: 0
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