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Geometric Error Identification of Gantry-Type CNC Machine Tool Based on Multi-Station Synchronization Laser Tracers
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作者 Jun Zha Huijie Zhang 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2024年第2期150-162,共13页
Laser tracers are a three-dimensional coordinate measurement system that are widely used in industrial measurement.We propose a geometric error identification method based on multi-station synchronization laser tracer... Laser tracers are a three-dimensional coordinate measurement system that are widely used in industrial measurement.We propose a geometric error identification method based on multi-station synchronization laser tracers to enable the rapid and high-precision measurement of geometric errors for gantry-type computer numerical control(CNC)machine tools.This method also improves on the existing measurement efficiency issues in the single-base station measurement method and multi-base station time-sharing measurement method.We consider a three-axis gantry-type CNC machine tool,and the geometric error mathematical model is derived and established based on the combination of screw theory and a topological analysis of the machine kinematic chain.The four-station laser tracers position and measurement points are realized based on the multi-point positioning principle.A self-calibration algorithm is proposed for the coordinate calibration process of a laser tracer using the Levenberg-Marquardt nonlinear least squares method,and the geometric error is solved using Taylor’s first-order linearization iteration.The experimental results show that the geometric error calculated based on this modeling method is comparable to the results from the Etalon laser tracer.For a volume of 800 mm×1000 mm×350 mm,the maximum differences of the linear,angular,and spatial position errors were 2.0μm,2.7μrad,and 12.0μm,respectively,which verifies the accuracy of the proposed algorithm.This research proposes a modeling method for the precise measurement of errors in machine tools,and the applied nature of this study also makes it relevant both to researchers and those in the industrial sector. 展开更多
关键词 Multi-point positioning Multi-station synchronization cnc machine tool Geometric error Error separation
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Numerical Investigation of Thermal Behavior of CNC Machine Tool and Its Effects on Dimensional Accuracy of Machined Parts
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作者 Erick Matezo-Ngoma Abderrazak El Ouafi Ahmed Chebak 《Journal of Software Engineering and Applications》 2024年第8期617-637,共21页
The dimensional accuracy of machined parts is strongly influenced by the thermal behavior of machine tools (MT). Minimizing this influence represents a key objective for any modern manufacturing industry. Thermally in... The dimensional accuracy of machined parts is strongly influenced by the thermal behavior of machine tools (MT). Minimizing this influence represents a key objective for any modern manufacturing industry. Thermally induced positioning error compensation remains the most effective and practical method in this context. However, the efficiency of the compensation process depends on the quality of the model used to predict the thermal errors. The model should consistently reflect the relationships between temperature distribution in the MT structure and thermally induced positioning errors. A judicious choice of the number and location of temperature sensitive points to represent heat distribution is a key factor for robust thermal error modeling. Therefore, in this paper, the temperature sensitive points are selected following a structured thermomechanical analysis carried out to evaluate the effects of various temperature gradients on MT structure deformation intensity. The MT thermal behavior is first modeled using finite element method and validated by various experimentally measured temperature fields using temperature sensors and thermal imaging. MT Thermal behavior validation shows a maximum error of less than 10% when comparing the numerical estimations with the experimental results even under changing operation conditions. The numerical model is used through several series of simulations carried out using varied working condition to explore possible relationships between temperature distribution and thermal deformation characteristics to select the most appropriate temperature sensitive points that will be considered for building an empirical prediction model for thermal errors as function of MT thermal state. Validation tests achieved using an artificial neural network based simplified model confirmed the efficiency of the proposed temperature sensitive points allowing the prediction of the thermally induced errors with an accuracy greater than 90%. 展开更多
关键词 cnc machine Tool Dimensional Accuracy Thermal Errors Error Modelling Numerical Simulation Finite Element Method Artificial Neural Network Error Compensation
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CNC机床丝杠热误差实时补偿设计及自动补偿试验
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作者 杨光 路晓云 《机械管理开发》 2024年第5期43-44,49,共3页
为了降低数控机床丝杠传动系统因热误差引起的定位误差,完成机床工作台各运行阶段的实时补偿。用非接触模式为丝杠非电机连接端安装位移检测器,以电涡流传感器时间监测丝杠端面位置数据,获得丝杠产生的总热误差,通过热补偿得到每段丝杠... 为了降低数控机床丝杠传动系统因热误差引起的定位误差,完成机床工作台各运行阶段的实时补偿。用非接触模式为丝杠非电机连接端安装位移检测器,以电涡流传感器时间监测丝杠端面位置数据,获得丝杠产生的总热误差,通过热补偿得到每段丝杠的热误差程度,确定每段坐标系原点发生的偏移,完成自主补偿机床丝杠热误差的效果。研究结果表明:采用分段补偿方法可以获得比其他热误差补偿模型更优的丝杠全段补偿性能。分别检测丝杠各段发生的热误差再对其实施补偿,可以根据丝杠各部位热误差程度实施补偿。 展开更多
关键词 数控机床 热误差 丝杠传动 实时补偿
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The Research on Hybrid Intelligent Fault-diagnosisSystem of CNC Machine Tools
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作者 WANG Runxiao ZHOU Hui +1 位作者 QIN Xiansheng JIAN Chongjun 《International Journal of Plant Engineering and Management》 2000年第4期129-135,共7页
After analyzing the structure and characteristics of the hybrid intelligent diagnosis system of CNC machine toolsCNC-HIDS), we describe the intelligent hybrid mechanism of the CNC-HIDS, and present the evaluation and ... After analyzing the structure and characteristics of the hybrid intelligent diagnosis system of CNC machine toolsCNC-HIDS), we describe the intelligent hybrid mechanism of the CNC-HIDS, and present the evaluation and the running instance of the system. Through tryout and validation, we attain satisfactory results. 展开更多
关键词 cnc machine tools hybrid mechanism intelligent diagnosis machine fault
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基于TL-DBN方法的CNC机床节能策略设计
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作者 钟旭佳 李阳 宋佳佳 《现代工业经济和信息化》 2024年第9期135-136,140,共3页
为了提高数控机床节能性能,设计一种利用迁移学习方法实现数字控制机床(Computer numerical control,CNC)机床的节能控制过程。建立以随机森林(Random forest,RF)实现驱动功能的离散CNC机床能耗调控模型,减小等待阶段所消耗的能量,促进... 为了提高数控机床节能性能,设计一种利用迁移学习方法实现数字控制机床(Computer numerical control,CNC)机床的节能控制过程。建立以随机森林(Random forest,RF)实现驱动功能的离散CNC机床能耗调控模型,减小等待阶段所消耗的能量,促进机床决策效率的快速提升。研究结果表明,时间间隔对机床节能状态影响显著,当间隔增加后,机床由9次切换减少至6次切换,时间间隔设定在25 min最优。各机床都可以在等待阶段通过合适策略达到节能的控制过程,采用该节能控制方案为实现生产过程管控提供了理论依据。 展开更多
关键词 迁移学习 节能控制 cnc机床 深度置信网络
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High Accurate Interpolation of NURBS Tool Path for CNC Machine Tools 被引量:11
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作者 LIU Qiang LIU Huan YUAN Songmei 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2016年第5期911-920,共10页
Feedrate fluctuation caused by approximation errors of interpolation methods has great effects on machining quality in NURBS interpolation, but few methods can efficiently eliminate or reduce it to a satisfying level ... Feedrate fluctuation caused by approximation errors of interpolation methods has great effects on machining quality in NURBS interpolation, but few methods can efficiently eliminate or reduce it to a satisfying level without sacrificing the computing efficiency at present. In order to solve this problem, a high accurate interpolation method for NURBS tool path is proposed. The proposed method can efficiently reduce the feedrate fluctuation by forming a quartic equation with respect to the curve parameter increment, which can be efficiently solved by analytic methods in real-time. Theoretically, the proposed method can totally eliminate the feedrate fluctuation for any 2nd degree NURBS curves and can interpolate 3rd degree NURBS curves with minimal feedrate fluctuation. Moreover, a smooth feedrate planning algorithm is also proposed to generate smooth tool motion with considering multiple constraints and scheduling errors by an efficient planning strategy. Experiments are conducted to verify the feasibility and applicability of the proposed method. This research presents a novel NURBS interpolation method with not only high accuracy but also satisfying computing efficiency. 展开更多
关键词 NURBS INTERPOLATION feedrate machine tool cnc
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Thermal Error Modeling Method with the Jamming of Temperature-Sensitive Points'Volatility on CNC Machine Tools 被引量:2
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作者 Enming MIAO Yi LIU +1 位作者 Jianguo XU Hui LIU 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2017年第3期566-577,共12页
Aiming at the deficiency of the robustness of thermal error compensation models of CNC machine tools, the mechanism of improving the models' robustness is studied by regarding the Leaderway-V450 machining center as t... Aiming at the deficiency of the robustness of thermal error compensation models of CNC machine tools, the mechanism of improving the models' robustness is studied by regarding the Leaderway-V450 machining center as the object. Through the analysis of actual spindle air cutting experimental data on Leaderway-V450 machine, it is found that the temperature-sensitive points used for modeling is volatility, and this volatility directly leads to large changes on the collinear degree among modeling independent variables. Thus, the forecasting accuracy of multivariate regression model is severely affected, and the forecasting robustness becomes poor too. To overcome this effect, a modeling method of establishing thermal error models by using single temperature variable under the jamming of temperature-sensitive points' volatility is put forward. According to the actual data of thermal error measured in different seasons, it is proved that the single temperature variable model can reduce the loss of fore- casting accuracy resulted from the volatility of tempera- ture-sensitive points, especially for the prediction of cross quarter data, the improvement of forecasting accuracy is about 5 μm or more. The purpose that improving the robustness of the thermal error models is realized, which can provide a reference for selecting the modelingindependent variable in the application of thermal error compensation of CNC machine tools. 展开更多
关键词 cnc machine tool Thermal error Temperature-sensitive points Forecasting robustnessUnivariate modeling
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Reliability Analysis of Electrical System of CNC Machine Tool Based on Dynamic Fault Tree Analysis Method 被引量:2
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作者 晏晶 尹珩苏 +2 位作者 周杰 李彦锋 黄洪钟 《Journal of Donghua University(English Edition)》 EI CAS 2015年第6期1042-1046,共5页
The electrical system of CNC machine tool is very complex which involves many uncertain factors and dynamic stochastic characteristics when failure occurs.Therefore,the traditional system reliability analysis method,f... The electrical system of CNC machine tool is very complex which involves many uncertain factors and dynamic stochastic characteristics when failure occurs.Therefore,the traditional system reliability analysis method,fault tree analysis(FTA)method,based on static logic and static failure mechanism is no longer applicable for dynamic systems reliability analysis.Dynamic fault tree(DFT)analysis method can solve this problem effectively.In this method,DFT first should be pretreated to get a simplified fault tree(FT);then the FT was modularized to get the independent static subtrees and dynamic subtrees.Binary decision diagram(BDD)analysis method was used to analyze static subtrees,while an approximation algorithm was used to deal with dynamic subtrees.When the scale of each subtree is smaller than the system scale,the analysis efficiency can be improved significantly.At last,the usefulness of this DFT analysis method was proved by applying it to analyzing the reliability of electrical system. 展开更多
关键词 RELIABILITY dynamic fault tree MODULARIZATION binary decision diagram approximation algorithm cnc machine tool
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An Open CAM System for Dentistry on the Basis of China-made 5-axis Simultaneous Contouring CNC Machine Tool and Industrial CAM Software 被引量:2
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作者 鲁莉 刘树生 +1 位作者 施生根 杨建中 《Journal of Huazhong University of Science and Technology(Medical Sciences)》 SCIE CAS 2011年第5期696-700,共5页
China-made 5-axis simultaneous contouring CNC machine tool and domestically developed industrial computer-aided manufacture (CAM) technology were used for full crown fabrication and measurement of crown accuracy, wi... China-made 5-axis simultaneous contouring CNC machine tool and domestically developed industrial computer-aided manufacture (CAM) technology were used for full crown fabrication and measurement of crown accuracy, with an attempt to establish an open CAM system for dental processing and to promote the introduction of domestic dental computer-aided design (CAD)/CAM system. Commercially available scanning equipment was used to make a basic digital tooth model after preparation of crown, and CAD software that comes with the scanning device was employed to design the crown by using domestic industrial CAM software to process the crown data in order to generate a solid model for machining purpose, and then China-made 5-axis simultaneous contouring CNC machine tool was used to complete machining of the whole crown and the internal accuracy of the crown internal was measured by using 3D-MicroCT. The results showed that China-made 5-axis simultaneous contouring CNC machine tool in combination with domestic industrial CAM technology can be used for crown making and the crown was well positioned in die. The internal accuracy was successfully measured by using 3D-MicroCT. It is concluded that an open CAM system for den-tistry on the basis of China-made 5-axis simultaneous contouring CNC machine tool and domestic industrial CAM software has been established, and development of the system will promote the introduction of domestically-produced dental CAD/CAM system. 展开更多
关键词 computer-aided dental design and manufacture five-axis simultaneous contouring cnc machine tool CAM software open dental CAM system
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Dynamic Modeling of the Feed Drive System of a CNC Metal Cutting Machine
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作者 H.Heydarnia I.A.Kiselev +1 位作者 M.M.Ermolaev S.Nikolaev 《Sound & Vibration》 EI 2021年第1期19-30,共12页
Studying the vibrational behavior of feed drive systems is important for enhancing the structural performance of computer numerical control(CNC)machines.The preload on the screw and nut position have a great influence... Studying the vibrational behavior of feed drive systems is important for enhancing the structural performance of computer numerical control(CNC)machines.The preload on the screw and nut position have a great influence on the vibration characteristics of the feed drive as two very important operational conditions.Rotational acceleration of the screw also affects the performance of the CNC feed drive when machining small parts.This paper investigates the influence of preload and nut position on the vibration characteristics of the feed drive system of a CNC metal cutting machine in order to be able to eliminate an observed resonance occurred at high rotational speeds of the screw,corresponding to high feed rates.Additionally,rational structural parameters of the feed drive system are selected in order to increase the rotational acceleration for improving the performance of the CNC machine.Experiments and analyses showed that by selecting specific parameters of feed drive system and simultaneously applying a certain value of preload,a 97%increase in rotational acceleration and 30%time reduction considering the vibration resistance at high rotational speeds can be achieved. 展开更多
关键词 Machining performance cnc machine tools vibration characteristics machine tool dynamic modeling
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IMPROVING ACCURACY OF CNC MACHINE TOOLS THROUGH COMPENSATION FOR THERMAL ERRORS 被引量:1
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作者 Li Shuhe Zhang Yiqun Yang Shimin Zhang Guoxiong Tianjin University 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 1997年第4期71-75,共3页
A method for improving accuracy of CNC machine tools through compensation for the thermal errors is studied. The thermal errors are obtained by 1 D ball array and characterized by an auto regressive model based on sp... A method for improving accuracy of CNC machine tools through compensation for the thermal errors is studied. The thermal errors are obtained by 1 D ball array and characterized by an auto regressive model based on spindle rotation speed. By revising the workpiece NC machining program, the thermal errors can be compensated before machining. The experiments on a vertical machining center show that the effectiveness of compensation is good. 展开更多
关键词 cnc machine tool Thermal error COMPENSATION
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Actualities and Development of Heavy-Duty CNC Machine Tool Thermal Error Monitoring Technology 被引量:5
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作者 Zu-De Zhou Lin Gui +3 位作者 Yue-Gang Tan Ming-Yao Liu Yi Liu Rui-Ya Li 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2017年第5期1262-1281,共20页
Thermal error monitoring technology is the key technological support to solve the thermal error problem of heavy-duty CNC (computer numerical control) machine tools. Currently, there are many review literatures intr... Thermal error monitoring technology is the key technological support to solve the thermal error problem of heavy-duty CNC (computer numerical control) machine tools. Currently, there are many review literatures intro- ducing the thermal error research of CNC machine tools, but those mainly focus on the thermal issues in small and medium-sized CNC machine tools and seldom introduce thermal error monitoring technologies. This paper gives an overview of the research on the thermal error of CNC machine tools and emphasizes the study of thermal error of the heavy-duty CNC machine tool in three areas. These areas are the causes of thermal error of heavy-duty CNC machine tool and the issues with the temperature moni- toring technology and thermal deformation monitoring technology. A new optical measurement technology called the "fiber Bragg grating (FBG) distributed sensing tech- nology" for heavy-duty CNC machine tools is introduced in detail. This technology forms an intelligent sensing and monitoring system for heavy-duty CNC machine tools. This paper fills in the blank of this kind of review articlesto guide the development of this industry field and opens up new areas of research on the heavy-duty CNC machine tool thermal error. 展开更多
关键词 Heavy-duty cnc machine tool Thermalerror Temperature field Deformation field Fiber Bragggrating
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CPS Modeling of CNC Machine Tool Work Processes Using an Instruction-Domain Based Approach 被引量:19
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作者 Jihong Chen Jianzhong Yang +5 位作者 Huicheng Zhou Hua Xiang Zhihong Zhu Yesong Li Chen-Han Lee Guangda Xu 《Engineering》 SCIE EI 2015年第2期247-260,共14页
Building cyber-physical system(CPS) models of machine tools is a key technology for intelligent manufacturing. The massive electronic data from a computer numerical control(CNC) system during the work processes of a C... Building cyber-physical system(CPS) models of machine tools is a key technology for intelligent manufacturing. The massive electronic data from a computer numerical control(CNC) system during the work processes of a CNC machine tool is the main source of the big data on which a CPS model is established. In this work-process model, a method based on instruction domain is applied to analyze the electronic big data, and a quantitative description of the numerical control(NC) processes is built according to the G code of the processes. Utilizing the instruction domain, a work-process CPS model is established on the basis of the accurate, real-time mapping of the manufacturing tasks, resources, and status of the CNC machine tool. Using such models, case studies are conducted on intelligent-machining applications, such as the optimization of NC processing parameters and the health assurance of CNC machine tools. 展开更多
关键词 cyber-physical system (CPS) big data computer numerical control cnc machine tool electronic data of work processes instruction domain intelligent machining
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Development of a PC-based Open Architecture Software-CNC System 被引量:9
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作者 MA Xiong-bo HAN Zhen-yu WANG Yong-zhang FU Hong-ya 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2007年第3期272-281,共10页
As a key te..hnology in the field of advanced manufacturing, an open architecture controller is studied. In order to develop an open architecture software-CNC system on personal computer (PC) according to open modul... As a key te..hnology in the field of advanced manufacturing, an open architecture controller is studied. In order to develop an open architecture software-CNC system on personal computer (PC) according to open modular architecture controllers (OMAC). First, the software and hardware platform is chosen and software realization methodology for the CNC system is determined. Second, static modeling methods of an open architecture controller inclusive of object-oriented (OO) programming technology, dynamic link library (DLL) technology and system modules partition are investigated. Third, the dynamical behavioral modeling and the data flow representation of open architecture controller are discussed, which are both described in hierarchy fmite state machine (FSM) model. Fourth, a reusable software module model is established to develop software function module library. Finally, a 3-axis milling machine tool test-bed, named for HIT-CNC, is successfully designed by means of the constructed software function module library and the system configuring method. The experimental results show that, besides increasing the degree of reusability and openness, application of above-mentioned method- ology leads to significant decrease of development time as well as maintenance cost. 展开更多
关键词 open architecture controller PC soflware-cnc behavioral model OMAC machine tool
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A-B 7300 CNC Machine Tool Rebuilding 被引量:1
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作者 Li Chengren Marine\ Engineering Institute, Northwestern Polytechnical University Xi’an, 710072, P.R.China 《International Journal of Plant Engineering and Management》 1997年第4期17-19,共3页
This paper describes A-B 7300 CNC machine tool rebuilding, mainly in PAL and AMP utilization of C-type software. It includes PAL program locating and analyzing, AMP capturing etc. After setting PAL and AMP, the greate... This paper describes A-B 7300 CNC machine tool rebuilding, mainly in PAL and AMP utilization of C-type software. It includes PAL program locating and analyzing, AMP capturing etc. After setting PAL and AMP, the greater part of the electrical rebuilding has been accomplished. 展开更多
关键词 A-B 7300 REBUILDING cnc machine tool PAL AMP
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Evaluation of Eco-efficiency and Effect on Environment of Remanufacturing A Case Study of CNC-remanufacturing for Used Machining Tools
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作者 HU Zhong-xiang SHI Xiao-jun SHI Lei 《Journal of Donghua University(English Edition)》 EI CAS 2005年第5期34-36,共3页
A case of remanufacturing used lathes via CNC technology is introduced, whose environmental and economic benefits are evaluated respectively. The results indicate that these environmental and economic benefits are rem... A case of remanufacturing used lathes via CNC technology is introduced, whose environmental and economic benefits are evaluated respectively. The results indicate that these environmental and economic benefits are remarkable, which are directly affected by remanufacturing design, more than 90% materials in used lathes are reused. Finally, the causes of economic and environmental benefits of remanufacturing machine tools are put forward. The remanufacturing design method, implementation procedure, and evaluation method of economic and environmental benefits presented are helpful for other equipment remanufacturing. 展开更多
关键词 REMANUFACTURING cnc machine Tool environmental benefits evaluation method
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WEB-BASED VIRTUAL CNC MACHINE MODELING AND OPERATION
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作者 HE Hanwu WU Yueming GU Yaoda LU Yongming 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2007年第6期109-113,共5页
A CNC simulation system based on intemet for operation training of manufacturing facility and manufacturing process simulation is proposed. Firstly, the system framework and a rapid modeling method of CNC machine tool... A CNC simulation system based on intemet for operation training of manufacturing facility and manufacturing process simulation is proposed. Firstly, the system framework and a rapid modeling method of CNC machine tool are studied under the virtual environment based on PolyTrans and CAD software. Then, a new method is proposed to enhance and expand the interactive ability of virtual reality modeling language(VRML) by attaining communication among VRML, JavaApplet, JavaScript and Html so as to realize the virtual operation for CNC machine tool. Moreover, the algorithm of material removed simulation based on VRML Z-map is presented. The advantages of this algorithm include less memory requirement and much higher computation. Lastly, the CNC milling machine is taken as an illustrative example for the prototype development in order to validate the feasibility of the proposed approach. 展开更多
关键词 Virtual reality cnc machine tools Machining simulation Virtual reality modeling language (VRML) Virtual operation
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Patterns of CNC Machine Tool Reference Return and Its Trouble Shooting Methods
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作者 Lu Jiankang Wang Runxiao Northwestern Polytechnical University Xi’an 710071 P.R.ChinaGou Yali Qingan Aerospace Equipment Corporation Xi’an 710077 P.R.China 《International Journal of Plant Engineering and Management》 1997年第1期56-60,共5页
This paper presents four patterns of reference-return positions for CNC machine tools and analyses some causes of return reference troubles by showing typical examples of trouble shooting.Finally,it introduces several... This paper presents four patterns of reference-return positions for CNC machine tools and analyses some causes of return reference troubles by showing typical examples of trouble shooting.Finally,it introduces several methods of trouble shooting. 展开更多
关键词 cnc (Computer Numerical Control) machine tool trouble shooting reference return
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虚拟轴机床CNC系统的软件设计及系统特点 被引量:11
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作者 魏永明 叶佩青 +1 位作者 李铁民 杨向东 《制造技术与机床》 CSCD 北大核心 1999年第1期27-29,共3页
层次化的体系有助于建立标准化、模块化和开放式的CNC系统,多任务的软件设计可大大提高CPU的利用率。本论文围绕虚拟轴机床数控系统层次化结构和多任务设计。
关键词 虚拟轴机床 数控系统 体系结构 软件设计 机床
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CNC曲面直接插补(SDI)算法和系统 被引量:14
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作者 周云飞 李国其 +1 位作者 周济 周祖德 《华中理工大学学报》 CSCD 北大核心 1993年第4期7-12,共6页
提出了曲面直接插补算法(SDI)和基于SDI的新型CNC系统.具有三维连续轨迹和刀具补偿功能,可对粗精加工余量补偿和自动行距调节,实现高速高精度加工.其输入信息仅为曲面定义和边界条件,使用类APT的高级语言,极大简化CAM编程和加工信息,使... 提出了曲面直接插补算法(SDI)和基于SDI的新型CNC系统.具有三维连续轨迹和刀具补偿功能,可对粗精加工余量补偿和自动行距调节,实现高速高精度加工.其输入信息仅为曲面定义和边界条件,使用类APT的高级语言,极大简化CAM编程和加工信息,使曲面精加工既经济又高效. 展开更多
关键词 数控机床 曲面加工 插补原理
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