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Stability Analysis of Contact Scanning Probe for Micro/Nano Coordinate Measuring Machine 被引量:2
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作者 李瑞君 范光照 +3 位作者 钱剑钊 黄强先 龚伟 苗晋伟 《纳米技术与精密工程》 EI CAS CSCD 2012年第2期125-131,共7页
关键词 微纳米三坐标测量机 扫描探头 稳定性分析 传感哭喊中
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CAD Model-Based Intelligent Inspection Planning for Coordinate Measuring Machines 被引量:8
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作者 DONG Yude LIU Daxin +2 位作者 ZHAO Han WANG Wanlong WU Juan 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2011年第4期567-583,共17页
As the market competition among enterprises grows intensively and the demand for high quality products increases rapidly, product quality inspection and control has become one of the most important issues of manufactu... As the market competition among enterprises grows intensively and the demand for high quality products increases rapidly, product quality inspection and control has become one of the most important issues of manufacturing, and improving the efficiency and accuracy of inspection is also one of problems which enterprises must solve. It is particularly important to establish rational inspection planning for parts before inspecting product quality correctly. The traditional inspection methods have been difficult to satisfy the requirements on the speed and accuracy of modern manufacturing, so CAD-based computer-aided inspection planning (CAIP) system with the coordinate measuring machines (CMM) came into being. In this paper, an algorithm for adaptive sampling and collision-free inspection path generation is proposed, aiming at the CAD model-based inspection planning for coordinate measuring machines (CMM). Firstly, using the method of step adaptive subdivision and iteration , the sampling points for the specified number with even distribution will be generated automatically. Then, it generates the initial path by planning the inspection sequence of measurement points according to the values of each point's weight sum of parameters, and detects collision by constructing section lines between the probe swept-volume surfaces and the part surfaces, with axis-aligned bounding box (AABB) filtering to improve the detection efficiency. For collided path segments, it implements collision avoidance firstly aiming at the possible outer-circle features, and then at other collisions, for which the obstacle-avoiding movements are planned with the heuristic rules, and combined with a designed expanded AABB to set the obstacle-avoiding points. The computer experimental results show that the presented algorithm can plan sampling points' locations with strong adaptability for different complexity of general surfaces, and generate efficient optimum path in a short time and avoid collision effectively. 展开更多
关键词 coordinate measuring machines (CMM) sampling strategy adaptive subdivision path planning collision detection collision avoidance bounding box
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Multiple Measurement Models of Articulated Arm Coordinate Measuring Machines 被引量:6
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作者 ZHENG Dateng XIAO Zhongyue XIA Xiang 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2015年第5期994-998,共5页
The existing articulated arm coordinate measuring machines(AACMM) with one measurement model are easy to cause low measurement accuracy because the whole sampling space is much bigger than the result in the unstable... The existing articulated arm coordinate measuring machines(AACMM) with one measurement model are easy to cause low measurement accuracy because the whole sampling space is much bigger than the result in the unstable calibration parameters. To compensate for the deficiency of one measurement model, the multiple measurement models are built by the Denavit-Hartenberg's notation, the homemade standard rod components are used as a calibration tool and the Levenberg-Marquardt calibration algorithm is applied to solve the structural parameters in the measurement models. During the tests of multiple measurement models, the sample areas are selected in two situations. It is found that the measurement errors' sigma value(0.083 4 ram) dealt with one measurement model is nearly two times larger than that of the multiple measurement models(0.043 1 ram) in the same sample area. While in the different sample area, the measurement errors' sigma value(0.054 0 ram) dealt with the multiple measurement models is about 40% of one measurement model(0.137 3 mm). The preliminary results suggest that the measurement accuracy of AACMM dealt with multiple measurement models is superior to the accuracy of the existing machine with one measurement model. This paper proposes the multiple measurement models to improve the measurement accuracy of AACMM without increasing any hardware cost. 展开更多
关键词 articulated arm coordinate measuring machine multiple measurement models sample area measurement accuracy
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ERROR COMPENSATION OF COORDINATE MEASURING MACHINES WITH LOW STIFFNESS 被引量:1
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作者 Zhao Yingjian Zhang Guoxiong (College of Precision Instruments and Optical Electronics, Tianjin University) 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2000年第2期159-164,共6页
A technique for compensating the errors of coordinate measuring machines (CMMs) with low stiffness is proposed. Some additional items related with the force deformation are introduced to the error compensation aquatio... A technique for compensating the errors of coordinate measuring machines (CMMs) with low stiffness is proposed. Some additional items related with the force deformation are introduced to the error compensation aquations. The research was carried on a moving colunm horizontal arm CMM. Experimental results show that both the effects of systematic components of error motions and force deformations are greatly reduced, which shows the effectiveness of proposed technique. 展开更多
关键词 Error compensation coordinate measuring machine(CMM) Low stiffness
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Helical angle measurement of worm by a coordinate measuring machine and its uncertainty evaluation
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作者 邱有永 KANG Shuang-yang +2 位作者 彭云峰 YANG Ping HUANG Zi-qiang 《Journal of Chongqing University》 CAS 2016年第4期139-148,共10页
The purpose of the study concerns the measurement of worm's helical angle by a coordinate measurement machine in the ambient industrial environment. The novel measurement method and sampling strategy were describe... The purpose of the study concerns the measurement of worm's helical angle by a coordinate measurement machine in the ambient industrial environment. The novel measurement method and sampling strategy were described firstly. This method used the coordinate measurement machine to measure both of the worm gear's left and right surfaces. The worm surface was reconstructed based on the measured data of all the sampling points. Then a middle cylinder was established to truncate the fitted worm surfaces, and the truncated spiral lines were straightened to calculate the helical angle. The measurement uncertainty of worm's helical angle was evaluated by taking the difference of calculated helical angles along the truncated spiral lines on both the left and right side surfaces of the worm. Twenty-four measurement experiments show that the maximum measurement error of the proposed method is 0.105, and the measurement error ratios are all less than 3.5%. The result means that the measurement method can realize the precision measurement of worm's helical angle and can be employed in the generally industrial application. 展开更多
关键词 WORM HELICAL ANGLE coordinate measuring machineS measurement UNCERTAINTY
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COORDINATE MEASURING MACHINE PROBING ACCESSIBILITY
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作者 Wu Yongqing Xie Zexiao Liu Shugui Zhang Guoxiong State Key Laboritory of Precision Measuring Technology and Instrument, Tianjin University 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2001年第1期45-50,共6页
The accessibility of coordinate measuring machines (CMMs) in dimensional inspection is studied. The problem of computing the global accessibility cone is solved using a method of angle representation. Otherwise, the l... The accessibility of coordinate measuring machines (CMMs) in dimensional inspection is studied. The problem of computing the global accessibility cone is solved using a method of angle representation. Otherwise, the length and volume of probe are considered sufficiently so that all the feasible probe orientations could be determined for the inspection of a workpiece when a touch trigger probe is used and the shortcoming of abstracting a probe as an infinite half line could be overcome completely. In the end, an example is given to explain the method. 展开更多
关键词 ACCESSIBILITY Probe orientation COLLISION coordinate measuring machines(CMMs) SLOT
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Determination of the workspace of a new coordinate-measuring machine using parallel-link mechanism
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作者 刘得军 黄庆成 +2 位作者 叶东 车仁生 周琳 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2001年第2期147-154,共8页
Presents the detailed algorithm established for determination of workspace for a 3-DOF coordinate measuring machine using parallel link mechanism by constructing the inverse kinematic model first and then reviewing th... Presents the detailed algorithm established for determination of workspace for a 3-DOF coordinate measuring machine using parallel link mechanism by constructing the inverse kinematic model first and then reviewing the physical and kinematical constraints from the structural characteristics of the parallel link mechanism, and discusses the actual geometries of workspace and the factors having effect on workspace through computer simulation thereby providing necessary theoretical basis for the research and development of coordinate measuring machines using parallel link mechanism. 展开更多
关键词 coordinate measuring machine WORKSPACE parallel link mechanism three degrees of freedom spatial coordinate
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Flexible Scanning Method by Integrating Laser Line Sensors with Articulated Arm Coordinate Measuring Machines
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作者 Zexiao Xie Ping Yu +2 位作者 Hanlei Gong Shukai Chi Xiang Gao 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2022年第5期131-140,共10页
Measuring and reconstructing the shape of workpieces have been considered as a fundamental step in both reverse engineering and product quality control.Owing to increasing structural complexity of recent products,meas... Measuring and reconstructing the shape of workpieces have been considered as a fundamental step in both reverse engineering and product quality control.Owing to increasing structural complexity of recent products,measurements from multiple directions are typically required in current scanning techniques.Specifically,the plane structured light can be applied to measure one area of a part at a time,with an additional algorithm required to merge the collected data of each area.Alternatively,the line structured light sensor integrated on CNC machines or CMMs could also realize multi-view measurement.However,the system needs to be repeatedly calibrated at each new direction.This paper presents a flexible scanning method by integrating laser line sensors with articulated arm coordinate measuring machines(AACMM).Since the output of the laser line sensor is 2D raw data in the laser plane,our system model introduces an explicit transformation from the 2D sensor coordinate frame to the 3D base coordinate frame of the AACMM(i.e.,the translation and rotation the of the 2D sensor coordinate in the sixth coordinate system of AACMM).To solve the model,the“conjugate pairs”are proposed and identified by measuring a fixed point(e.g.,a sphere center).Moreover,a search algorithm is adopted to find the optimal solution,which noticeably boosts the model accuracy.The experimental results show that the error of the system is about 0.2 mm,which is caused by the error of the AACMM,the sensor error and the calibration error.By measuring a complicated part,the proposed system is proved to be flexible and facilitate,with the ability to measure a part expediently from any necessary direction.Furthermore,the proposed calibration method can also be used for robot hand-eye relationship calibration. 展开更多
关键词 Reverse engineering Laser line sensors Articulated arm coordinate measuring machines Conjugate pairs
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ASSESSING THE DYNAMIC ERRORS OF COORDINATE MEASURING MACHINES 被引量:2
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作者 Dong, Chensong Zhang, Guoxiong Mu, Yuhai 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 1998年第4期58-64,共7页
The main factors affecting the dynamic errors of coordinate measuring machines are analyzed. It is pointed out that there are two main contributors to the dynamic errors: One is the rotation of the elements around the... The main factors affecting the dynamic errors of coordinate measuring machines are analyzed. It is pointed out that there are two main contributors to the dynamic errors: One is the rotation of the elements around the joints connected with air bearings and the other is the bending of the elements caused by the dynamic inertial forces. A method for obtaining the displacement errors at the probe position from dynamic rotational errors is presented. The dynamic rotational errors are measured with inductive position sensors and a laser interferometer. The theoretical and experimental results both show that during the process of fast probing, due to the dynamic inertial forces, there are not only large rotation of the elements around the joints connected with air bearings but also large bending of the weak elements themselves. 展开更多
关键词 coordinate measuring machine Dynamic error Laser interferometer Inductive position sensor
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Non-Cooperative Game of Coordinated Scheduling of Parallel Machine Production and Transportation in Shared Manufacturing
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作者 Peng Liu Ke Xu Hua Gong 《Computers, Materials & Continua》 SCIE EI 2023年第7期239-258,共20页
Given the challenges of manufacturing resource sharing and competition in the modern manufacturing industry,the coordinated scheduling problem of parallel machine production and transportation is investigated.The prob... Given the challenges of manufacturing resource sharing and competition in the modern manufacturing industry,the coordinated scheduling problem of parallel machine production and transportation is investigated.The problem takes into account the coordination of production and transportation before production as well as the disparities in machine spatial position and performance.A non-cooperative game model is established,considering the competition and self-interest behavior of jobs from different customers for machine resources.The job from different customers is mapped to the players in the game model,the corresponding optional processing machine and location are mapped to the strategy set,and the makespan of the job is mapped to the payoff.Then the solution of the scheduling model is transformed into the Nash equilibrium of the non-cooperative game model.A Nash equilibrium solution algorithm based on the genetic algorithm(NEGA)is designed,and the effective solution of approximate Nash equilibrium for the game model is realized.The fitness function,single-point crossover operator,and mutation operator are derived from the non-cooperative game model’s characteristics and the definition of Nash equilibrium.Rules are also designed to avoid the generation of invalid offspring chromosomes.The effectiveness of the proposed algorithm is demonstrated through numerical experiments of various sizes.Compared with other algorithms such as heuristic algorithms(FCFS,SPT,and LPT),the simulated annealing algorithm(SA),and the particle swarm optimization algorithm(PSO),experimental results show that the proposed NE-GA algorithm has obvious performance advantages. 展开更多
关键词 Non-cooperative game shared manufacturing parallel machine coordinated production and transportation genetic algorithm
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Application of NURBS for Obtaining Free Form Curves and Surfaces in Spur and Helical Gears by Using CMM (Coordinate Measurement Machine)
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作者 Luiz Henrique Melo Silva Nobrega Verilton Nunes da Silva +3 位作者 Jose Carlos de Lima Junior Joao Bosco de Aquino Silva Igor Lucena Peixoto Andrezza Rafael Franklin Alves Silva 《Journal of Mechanics Engineering and Automation》 2014年第5期432-440,共9页
关键词 NURBS技术 三坐标测量机 贝塞尔曲线 应用检验 斜齿轮 直齿轮 曲面 计算机辅助制造
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Surface form inspection with contact coordinate measurement:a review 被引量:3
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作者 Yijun Shen Jieji Ren +3 位作者 Nuodi Huang Yang Zhang Xinquan Zhang Limin Zhu 《International Journal of Extreme Manufacturing》 SCIE EI CAS CSCD 2023年第2期119-147,共29页
Parts with high-quality freeform surfaces have been widely used in industries,which require strict quality control during the manufacturing process.Among all the industrial inspection methods,contact measurement with ... Parts with high-quality freeform surfaces have been widely used in industries,which require strict quality control during the manufacturing process.Among all the industrial inspection methods,contact measurement with coordinate measuring machines or computer numerical control machine tool is a fundamental technique due to its high accuracy,robustness,and universality.In this paper,the existing research in the contact measurement field is systematically reviewed.First,different configurations of the measuring machines are introduced in detail,which may have influence on the corresponding sampling and inspection path generation criteria.Then,the entire inspection pipeline is divided into two stages,namely the pre-inspection and post-inspection stages.The typical methods of each sub-stage are systematically overviewed and classified,including sampling,accessibility analysis,inspection path generation,probe tip radius compensation,surface reconstruction,and uncertainty analysis.Apart from those classical research,the applications of the emerging deep learning technique in some specific tasks of measurement are introduced.Furthermore,some potential and promising trends are provided for future investigation. 展开更多
关键词 freeform surface form inspection contact measurement coordinate measurement on-machine inspection
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Machine learning insights on intensive care unit-acquired weakness
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作者 Muad Abdi Hassan Abdulqadir J Nashwan 《World Journal of Clinical Cases》 SCIE 2024年第18期3285-3287,共3页
Intensive care unit-acquired weakness(ICU-AW)significantly hampers patient recovery and increases morbidity.With the absence of established preventive strategies,this study utilizes advanced machine learning methodolo... Intensive care unit-acquired weakness(ICU-AW)significantly hampers patient recovery and increases morbidity.With the absence of established preventive strategies,this study utilizes advanced machine learning methodologies to unearth key predictors of ICU-AW.Employing a sophisticated multilayer perceptron neural network,the research methodically assesses the predictive power for ICU-AW,pinpointing the length of ICU stay and duration of mechanical ventilation as pivotal risk factors.The findings advocate for minimizing these elements as a preventive approach,offering a novel perspective on combating ICU-AW.This research illuminates critical risk factors and lays the groundwork for future explorations into effective prevention and intervention strategies. 展开更多
关键词 Length of intensive care unit stay Intensive care unit-acquired weakness machine learning Likelihood factors Precautionary measures
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Vibrations induced by tunnel boring machine in urban areas: In situ measurements and methodology of analysis 被引量:1
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作者 Antoine Rallu Nicolas Berthoz +1 位作者 Simon Charlemagne Denis Branque 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2023年第1期130-145,共16页
Excavation with tunnel boring machine(TBM)can generate vibrations,causing damages to neighbouring buildings and disturbing the residents or the equipment.This problem is particularly challenging in urban areas,where T... Excavation with tunnel boring machine(TBM)can generate vibrations,causing damages to neighbouring buildings and disturbing the residents or the equipment.This problem is particularly challenging in urban areas,where TBMs are increasingly large in diameter and shallow in depth.In response to this problem,four experimental campaigns were carried out in different geotechnical contexts in France.The vibration measurements were acquired on the surface and inside the TBMs.These measurements are also complemented by few data in the literature.An original methodology of signal processing is pro-posed to characterize the amplitude of the particle velocities,as well as the frequency content of the signals to highlight the most energetic bands.The levels of vibrations are also compared with the thresholds existing in various European regulations concerning the impact on neighbouring structures and the disturbance to local residents. 展开更多
关键词 Ground-borne vibrations Tunnel boring machine(TBM) In situ measurement Dynamic characterization Vibration levels Site spectrum
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BotSward: Centrality Measures for Graph-Based Bot Detection Using Machine Learning
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作者 Khlood Shinan Khalid Alsubhi M.Usman Ashraf 《Computers, Materials & Continua》 SCIE EI 2023年第1期693-714,共22页
The number of botnet malware attacks on Internet devices has grown at an equivalent rate to the number of Internet devices that are connected to the Internet.Bot detection using machine learning(ML)with flow-based fea... The number of botnet malware attacks on Internet devices has grown at an equivalent rate to the number of Internet devices that are connected to the Internet.Bot detection using machine learning(ML)with flow-based features has been extensively studied in the literature.Existing flow-based detection methods involve significant computational overhead that does not completely capture network communication patterns that might reveal other features ofmalicious hosts.Recently,Graph-Based Bot Detection methods using ML have gained attention to overcome these limitations,as graphs provide a real representation of network communications.The purpose of this study is to build a botnet malware detection system utilizing centrality measures for graph-based botnet detection and ML.We propose BotSward,a graph-based bot detection system that is based on ML.We apply the efficient centrality measures,which are Closeness Centrality(CC),Degree Centrality(CC),and PageRank(PR),and compare them with others used in the state-of-the-art.The efficiency of the proposed method is verified on the available Czech Technical University 13 dataset(CTU-13).The CTU-13 dataset contains 13 real botnet traffic scenarios that are connected to a command-and-control(C&C)channel and that cause malicious actions such as phishing,distributed denial-of-service(DDoS)attacks,spam attacks,etc.BotSward is robust to zero-day attacks,suitable for large-scale datasets,and is intended to produce better accuracy than state-of-the-art techniques.The proposed BotSward solution achieved 99%accuracy in botnet attack detection with a false positive rate as low as 0.0001%. 展开更多
关键词 Network security botnet detection graph-based features machine learning measure centrality
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Energy-Efficient Approaches for a Machine Tool Building in a University through Field Measurement and Energy Modelling
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作者 Kusnandar Win-Jet Luo +2 位作者 Indra Permana Fu-Jen Wang Gantulga Bayarkhuu 《Energy Engineering》 EI 2023年第6期1387-1399,共13页
The heating,ventilating,and air conditioning(HVAC)system consumes nearly 50%of the building’s energy,especially in Taiwan with a hot and humid climate.Due to the challenges in obtaining energy sources and the negativ... The heating,ventilating,and air conditioning(HVAC)system consumes nearly 50%of the building’s energy,especially in Taiwan with a hot and humid climate.Due to the challenges in obtaining energy sources and the negative impacts of excessive energy use on the environment,it is essential to employ an energy-efficient HVAC system.This study conducted the machine tools building in a university.The field measurement was carried out,and the data were used to conduct energymodelling with EnergyPlus(EP)in order to discover some improvements in energy-efficient design.The validation between fieldmeasurement and energymodelling was performed,and the error rate was less than 10%.The following strategies were proposed in this study based on several energy-efficient approaches,including room temperature settings,chilled water supply temperature settings,chiller coefficient of performance(COP),shading,and building location.Energy-efficient approaches have been evaluated and could reduce energy consumption annually.The results reveal that the proposed energy-efficient approaches of room temperature settings(3.8%),chilled water supply temperature settings(2.1%),chiller COP(5.9%),using shading(9.1%),and building location(3.0%),respectively,could reduce energy consumption.The analysis discovered that using a well-performing HVAC system and building shading were effective in lowering the amount of energy used,and the energy modelling method could be an effective and satisfactory tool in determining potential energy savings. 展开更多
关键词 ENERGY-EFFICIENT energy modelling field measurement BEMS machine tools building
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Single Camera 3-D Coordinate Measuring System Based on Optical Probe Imaging 被引量:4
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作者 MAShu-ying YUZhi-jing 《Semiconductor Photonics and Technology》 CAS 2001年第4期235-240,共6页
A new vision coordinate measuring system--single camera 3 D coordinate measuring system based on optical probe imaging is presented. A new idea in vision coordinate measurement is proposed. A linear model is deduced w... A new vision coordinate measuring system--single camera 3 D coordinate measuring system based on optical probe imaging is presented. A new idea in vision coordinate measurement is proposed. A linear model is deduced which can distinguish six freedom degrees of optical probe to realize coordinate measurement of the object surface. The effects of some factors on the resolution of the system are analyzed. The simulating experiments have shown that the system model is available. 展开更多
关键词 三维测量 光探针 线性模型 图像处理 VCMS
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Error Analysis for High-precision 7m Laser Measuring Machine
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作者 赵维谦 谭久彬 +1 位作者 杨文国 赵熙萍 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 1997年第3期5-9,共5页
This paper introduces a high precision 7m laser measuring instrument developedby the anthors and its operating principle,and systematically analyses the errors havinginfluence on the performance of the measuring instr... This paper introduces a high precision 7m laser measuring instrument developedby the anthors and its operating principle,and systematically analyses the errors havinginfluence on the performance of the measuring instrument.Error analysis and actualverification indicate that all the characteristics reached or exceeded the original designspecifications. 展开更多
关键词 Laser measuring machine LENGTH measurEMENT ERROR analysis large-dimension measurEMENT
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Development of Flexible Spherical Actuator with 3D Coordinate Measuring Device
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作者 Yasuko Matsui Tetsuya Akagi +2 位作者 Shujiro Dohta Wataru Kobayashi Hiroaki Tamaki 《Journal of Flow Control, Measurement & Visualization》 2018年第2期95-106,共12页
Rehabilitation devices help to recover the physical abilities of patients. This study aims to develop a portable rehabilitation device that is safe to use when?patients are holding it by hands. In a previous study, to... Rehabilitation devices help to recover the physical abilities of patients. This study aims to develop a portable rehabilitation device that is safe to use when?patients are holding it by hands. In a previous study, to realize a home rehabilitation device, a flexible spherical actuator that can provide motion to patients was developed. In this study, to measure the relative position between both handling stages, a 3D coordinate measuring device using three wire-type linear potentiometers and an embedded controller was proposed and tested. In this paper, the spherical actuator with built-in 3D coordinate measuring device is described. The measuring method and experimental results obtained are also presented. The tracking position control of the actuator using the measuring device was carried out. As a result, the position of the handling stages can be successfully controlled using the feedback signal from the tested?measuring device. 展开更多
关键词 FLEXIBLE SPHERICAL ACTUATOR FLEXIBLE PNEUMATIC Cylinder 3D coordinate measuring Device Wire-Type Linear POTENTIOMETER
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THEORETICAL ANALYSIS OF COORDINATES MEASUREMENT BY FLEXIBLE 3D MEASURING SYSTEM
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作者 ZHANG Guoyu SUN Tianxiang WANG Lingyun XU Xiping 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2007年第2期101-103,共3页
The system mathematical model of flexible 3D measuring system is built by theoretical analysis, and the theoretical formula for measuring space point coordinate is also derived. Frog-jumping based coordinate transform... The system mathematical model of flexible 3D measuring system is built by theoretical analysis, and the theoretical formula for measuring space point coordinate is also derived. Frog-jumping based coordinate transform method is put forward in order to solve measuring problem for large size parts. The frog-jumping method is discussed, and the coordinate transform mathematical model is method of the space point coordinate compared to original value, and an advanced method is provided, Form the space point coordinate transform formula can derive the calculation measuring method for measuring large size parts. 展开更多
关键词 Flexible 3D measuring system coordinate conversion Frog-jumping sphere
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