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ON DESIGN METHOD OF THE PRECISION CAM PROFILE WITH RANDOM PROCESSING ERRORS 被引量:4
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作者 Zhao ZhisuMechatronics Engineering andAutomation Institute,National University ofDefense Technology,Changsha 410073, China 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2003年第1期10-12,共3页
Based on probability and statistic, a design method of precision cam profileconcerning the influence of random processing errors is advanced. Combining the design with theprocess, which can be used to predict that cam... Based on probability and statistic, a design method of precision cam profileconcerning the influence of random processing errors is advanced. Combining the design with theprocess, which can be used to predict that cam profiles will be successfully processed or not in thedesign stage, design of the cam can be done by balancing the economization and reliability. Inaddition, an fuzzy deduction method based on Bayers formula is advanced to estimate processingreasonable of the designed precision cam profile, and it take few samples. 展开更多
关键词 Cam profiles design Random processing errors Probability and statistic
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Precision Design for Machine Tool Based on Error Prediction 被引量:5
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作者 HUANG Qiang ZHANG Genbao 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2013年第1期151-157,共7页
Digitization precision analysis is an important tool to ensure the design precision of machine tool currently. The correlative research about precision modeling and analysis mainly focuses on the geometry precision an... Digitization precision analysis is an important tool to ensure the design precision of machine tool currently. The correlative research about precision modeling and analysis mainly focuses on the geometry precision and motion precision of machine tool, and the forming motion precision of workpiece surface. For the machine tool with complex forming motion, there is not accurate corresponding relationship between the existing criterion on precision design and the machining precision of workpiece. Therefore, a design scheme on machine tool precision based on error prediction is proposed, which is divided into two-stage digitization precision analysis crucially. The first stage aims at the technology system to complete the precision distribution and inspection from the workpiece to various component parts of technology system and achieve the total output precision of machine tool under the specified machining precision; the second stage aims at the machine tool system to complete the precision distribution and inspection from the output precision of machine tool to the machine tool components. This article serves YK3610 gear hobber as the example to describe the error model of two systems and basic application method, and the practical cutting precision of this machine tool achieves to 5-4-4 grade. The proposed method can provide reliable guidance to the precision design of machine tool with complex forming motion. 展开更多
关键词 complex forming motion machine tool precision design position-pose error error sensibility
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NEW APPROACH FOR RELIABILITY-BASED DESIGN OPTIMIZATION:MINIMUM ERROR POINT 被引量:5
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作者 LIU Deshun YUE Wenhui +1 位作者 ZHU Pingyu DU Xiaoping 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2006年第4期514-518,共5页
Conventional reliability-based design optimization (RBDO) requires to use the most probable point (MPP) method for a probabilistic analysis of the reliability constraints. A new approach is presented, called as th... Conventional reliability-based design optimization (RBDO) requires to use the most probable point (MPP) method for a probabilistic analysis of the reliability constraints. A new approach is presented, called as the minimum error point (MEP) method or the MEP based method, for reliability-based design optimization, whose idea is to minimize the error produced by approximating performance functions. The MEP based method uses the first order Taylor's expansion at MEP instead of MPP. Examples demonstrate that the MEP based design optimization can ensure product reliability at the required level, which is very imperative for many important engineering systems. The MEP based reliability design optimization method is feasible and is considered as an alternative for solving reliability design optimization problems. The MEP based method is more robust than the commonly used MPP based method for some irregular performance functions. 展开更多
关键词 Reliability Most probable point (MPP) Minimum error point (MEP)Reliability-based design optimization (RBDO)
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基于MATLAB App Designer的加工误差统计分析实验系统设计
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作者 南晓辉 高阳 《电脑与信息技术》 2024年第2期40-43,81,共5页
机械加工误差的统计分析是机械制造基础课程中典型的实验内容,同时也是机械专业生产实习期间评定工艺过程加工精度的重要巩固环节。为了使学生从理论更直接地过渡到实际应用中,改善传统实验教学手段的单一化,设计了一种基于MATLAB App D... 机械加工误差的统计分析是机械制造基础课程中典型的实验内容,同时也是机械专业生产实习期间评定工艺过程加工精度的重要巩固环节。为了使学生从理论更直接地过渡到实际应用中,改善传统实验教学手段的单一化,设计了一种基于MATLAB App Designer的加工误差统计分析实验系统。该系统针对多个常见工序随机产生能够模拟真实工序尺寸的样本,并引导学生按照实验步骤完成工艺过程的分布图法分析与点图法分析。实验过程中可随时查看分数,学生可反思纠错、反复练习。同时提供了可用于参考的测量尺寸频数分布图、x−R图,能帮助学生灵活直观地掌握加工误差的统计分析原理与应用过程,提高实验教学的水平。 展开更多
关键词 加工误差 统计分析 MATLAB App designer 实验教学
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Geomagic design X境界拟合曲面的3D逆向建模及误差分析 被引量:2
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作者 李润 邓龙 《凿岩机械气动工具》 2019年第1期36-40,共5页
介绍了一种逆向工程方法,即利用光栅式三维扫描仪获取曲面点云数据,运用Geomagic design X逆向建模软件对点云数据进行拼接和预处理,3D曲线网格构建优化,精确曲面造型等处理,实现对面片的境界拟合NURBS曲面重建,并利用Geomagicdesign X... 介绍了一种逆向工程方法,即利用光栅式三维扫描仪获取曲面点云数据,运用Geomagic design X逆向建模软件对点云数据进行拼接和预处理,3D曲线网格构建优化,精确曲面造型等处理,实现对面片的境界拟合NURBS曲面重建,并利用Geomagicdesign X软件得到逆向建模的NURBS曲面与原始点云数据比较的偏差色谱图,实现对逆向建模形成的NURBS曲面的误差分析,完成逆向工程在曲面设计中的应用初步研究。 展开更多
关键词 逆向建模 境界拟合 GEOMAGIC design X 误差分析
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应用Designer设计带通滤波器误差研究
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作者 孙书良 王俊芳 《计算机与网络》 2012年第12期63-65,共3页
应用Designer软件计算出交指型腔体带通滤波器的初始尺寸,在HFSS软件中建模并仿真优化,对Designer计算结果与HFSS优化后的S参数仿真结果进行比较分析,确定二次Designer计算参数,更新仿真模型并再次进行HFSS优化仿真得出二次仿真结果,对... 应用Designer软件计算出交指型腔体带通滤波器的初始尺寸,在HFSS软件中建模并仿真优化,对Designer计算结果与HFSS优化后的S参数仿真结果进行比较分析,确定二次Designer计算参数,更新仿真模型并再次进行HFSS优化仿真得出二次仿真结果,对两次仿真结果进行比较分析后确定误差系数,宽带滤波器设计引入误差系数后进行仿真验证,确定了该设计方法的有效性,从而简化了腔体滤波器设计,进而提高了设计效率。 展开更多
关键词 designer误差系数 HFSS
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Research on the Error Averaging Effect in A Rolling Guide Pair 被引量:2
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作者 Yanbing Ni Haiyang Zhou +1 位作者 Cuiyan Shao Jinhe Li 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2019年第4期104-115,共12页
By studying the e ects of geometric precision on kinematic accuracy, an error mapping model has been established, based on the hypothesis that a motion pair and its installation surface are rigid. However, when using ... By studying the e ects of geometric precision on kinematic accuracy, an error mapping model has been established, based on the hypothesis that a motion pair and its installation surface are rigid. However, when using this assumption,there is a significant error induced in high-precision computer numerical control(CNC) machine tools as compared with reality. One of the most important reasons for this error is failing to consider the error averaging e ect of motion pair elements. Therefore, this work examines a high-precision horizontal machining center as its research object, and analyzes the error averaging mechanism of a rolling guide pair under a deformation of the rolling elements. The carriage bearing forces caused by guideway straightness errors are obtained by constructing a geometric error model of a single carriage. The relationship between guideway straightness errors and carriage bearing forces is described by a transfer function in the spatial frequency domain, and its characteristics are analyzed. It quantifies the so-called error averaging e ect of the rolling guide system and, on this basis, a static model for four carriages is established to reflect the error averaging e ect of the rolling guide pair on the position and orientation errors of the motion pair. In addition, it is found that the wavelengths and phase di erences of guideway errors a ect this error averaging mechanism, but the amplitude and preload have little influence thereon. The experiment result shows that the kinematic straightness errors in the x-and y-directions were approximately 1/3 to 1/2 of the guideway straightness errors in the corresponding directions. The results can be used to guide the precision design and assembly of machine tools. 展开更多
关键词 ROLLING guide PAIR error AVERAGING mechanism GUIDEWAY STRAIGHTNESS errors Precision design
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Design and Analysis of the Gemini Chain System in Dual Clutch Transmission of Automobile 被引量:3
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作者 CHENG Yabing GUO Haitao +3 位作者 FU Zhenming WAN Nen LI Lei WANG Yang 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2015年第1期38-45,共8页
Chain drive system is widely used in the conditions of high-speed, overload, variable speed and load, Many studies are focused on the meshing theory and wear characteristics of chain drive system, but system design, a... Chain drive system is widely used in the conditions of high-speed, overload, variable speed and load, Many studies are focused on the meshing theory and wear characteristics of chain drive system, but system design, analysis, and noise characteristics of the chain drive system are weak. System design and noise characteristic are studied for a new type Gemini chain of dual-clutch automatic transmission. Based on the meshing theory of silent chain, the design parameters of the Gemini chain system are calculated and the mathematical models and dynamic analysis models of the Gemini chain system are established. Dynamic characteristics of the Gemini chain system is simulated and the contact force of plate and pin, plate and sprockets, the chain tension forces, the transmission error and the stress of plates and pins are analyzed. According to the simulation results of the Gemini chain system, the noise experiment about system is carried out. The noise values are tested at different speed and load and spectral characteristics are analyzed. The results of simulation and experimental show that the contact forces of plate and pin, plate and sprockets are smaller than the allowable stress values, the chain tension force is less than ultimate tension and transmission error is limited in 1.2%. The noise values can meet the requirements of industrial design, and it is proved that the design and analysis method of the Gemini chain system is scientific and feasible. The design and test system is built from analysis to test of Gemini chain system. This research presented will provide a corresponding theoretical guidance for the design and dynamic characteristics and noise characteristics of chain drive system. 展开更多
关键词 Gemini chain system design noise characteristic dynamic characteristic transmission error
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Modeling Boundary and Edge Effect of Chloride Diffusion for Durability Design of Concrete Structures Exposed in Marine Environment 被引量:1
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作者 ZHOU Xingang LI Kefei CHEN Zhaoyuan 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2013年第6期1112-1117,共6页
According to the Fick's second law of diffusion, six analytical solutions of chloride profile in concrete were studied and discussed with regard to different boundary and initial conditions. In those analytical solut... According to the Fick's second law of diffusion, six analytical solutions of chloride profile in concrete were studied and discussed with regard to different boundary and initial conditions. In those analytical solutions, the most prevailing error-function solution which is based on semi-infinite assumption is the simple one, but may under-estimate the chloride content in concrete and over-rate the life time prediction of concrete structures. The experimental results show that compared with other solutions, the chloride content in concrete predicted by error-function model is the minimum, and the calculation difference produced by different analytical models should not be ignored. The influence of models on chloride content prediction is more than other environment and material coefficients in some time. In order to get a more realistic prediction model, modification to error-function model is suggested based on analysis and calculation examples concerning the boundary and edge effect. 展开更多
关键词 durability of concrete marine environment durability design and life prediction error-function model model modification
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Design of General Accuracy of the Dynamic Measurement Instrument for 3 meter Leadscrew by Laser Interferometric Control
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作者 庄夔 陈明仪 +1 位作者 孙麟治 章亚男 《Advances in Manufacturing》 SCIE CAS 1997年第2期135-138,共4页
The accuracy distribution of measuring instrument for 3-Ineter leadscrew by laser is studied according toerror theory. In this paper, the tables of overall accuracy distribution used as foundation of design and manufa... The accuracy distribution of measuring instrument for 3-Ineter leadscrew by laser is studied according toerror theory. In this paper, the tables of overall accuracy distribution used as foundation of design and manufactureare drafted. 展开更多
关键词 accuracy design Lead-screw error theory
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Calculation of Space NURBS Curve Interpolation Error 被引量:1
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作者 Liangji Chen Fei Gao +1 位作者 Bo Zhao Longfei Ma 《Journal of Computer and Communications》 2020年第6期1-9,共9页
Aiming at the problem of low accuracy of interpolation error calculation of existing NURBS curves, an approximate method for the distance between a point and a NURBS interpolation curve is proposed while satisfying th... Aiming at the problem of low accuracy of interpolation error calculation of existing NURBS curves, an approximate method for the distance between a point and a NURBS interpolation curve is proposed while satisfying the accuracy of the solution. Firstly, the minimum parameter interval of the node vector corresponding to the data point under test in the original data point sequence is determined, and the parameter interval is subdivided according to the corresponding step size, and the corresponding parameter value is obtained. Secondly, the distance from the measured point to the NURBS curve is calculated, and the nearest distance is found out. The node interval is subdivided again on one side of the nearest distance. Finally, the distance between the data point to be measured and each subdivision point is calculated again, and the minimum distance is taken as the interpolation error between the point and the NURBS curve. The simulation results of actual tool position data show that this method can more accurately obtain the error of spatial NURBS interpolation curve. 展开更多
关键词 Computer-Aided design NURBS Interpolation Curve Interpolation error Approximation Solution
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Joint Transceiver Designs for Full-Duplex MIMO SWIPT Systems Based on MSE Criterion 被引量:4
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作者 Zhigang Wen Xiaoqing Liu +2 位作者 Yancun Chen Rui Wang Zhimin Xie 《China Communications》 SCIE CSCD 2016年第10期79-85,共7页
For the simultaneous wireless information and power transfer(SWIPT), the full-duplex MIMO system can achieve simultaneous transmission of information and energy more efficiently than the half-duplex. Based on the mean... For the simultaneous wireless information and power transfer(SWIPT), the full-duplex MIMO system can achieve simultaneous transmission of information and energy more efficiently than the half-duplex. Based on the mean-square-error(MSE) criterion, the optimization problem of joint transceiver design with transmitting power constraint and energy harvesting constraint is formulated. Next, by semidefinite relaxation(SDR) and randomization method, the SDRbased scheme is proposed. In order to reduce the complexity, the closed-form scheme is presented with some simplified measures. Robust beamforming is then studied considering the practical condition. The simulation results such as MSE versus signal-noise-ratio(SNR), MSE versus the iteration number, well prove the performance of the proposed schemes for the system model. 展开更多
关键词 full-duplex mean-square-error(MSE) joint transceiver designs power splitting ROBUST
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Beam Dynamics and Electromagnetic Design Studies of 3 MeV RFQ for SNS Programme 被引量:2
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作者 Rahul Gaur Purushottam Shrivastava 《Journal of Electromagnetic Analysis and Applications》 2010年第9期519-528,共10页
The physics design of a 3 MeV, 30 mA, 352.2 MHz Radio Frequency Quadrupole (RFQ) is done for the future Indian Spallation Neutron Source (ISNS) project at RRCAT, India. The beam dynamics design of RFQ and the error an... The physics design of a 3 MeV, 30 mA, 352.2 MHz Radio Frequency Quadrupole (RFQ) is done for the future Indian Spallation Neutron Source (ISNS) project at RRCAT, India. The beam dynamics design of RFQ and the error analysis of the input beam parameters are done by using standard beam dynamics code PARMTEQM. The electromagnetic stu-dies for the two-dimensional and three-dimensional cavity design are performed using computer codes SUPERFISH and CST Microwave Studio. The physics design of RFQ consisting of the beam dynamics design near the beam axis and the electromagnetic design for the RFQ resonator is described here. 展开更多
关键词 Radio Frequency QUADRUPOLE (RFQ) Beam Dynamics error Analysis Cavity design End-Cells Optimization
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Dynamic Accuracy Design Method of Ultra-precision Machine Tool 被引量:3
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作者 Guo-Da Chen Ya-Zhou Sun +3 位作者 Fei-Hu Zhang Li-Hua Lu Wan-Qun Chen Nan Yu 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2018年第1期167-175,共9页
Ultra-precision machine tool is the most important physical tool to machining the workpiece with the frequency domain error requirement, in the design process of which the dynamic accuracy design(DAD) is indispensable... Ultra-precision machine tool is the most important physical tool to machining the workpiece with the frequency domain error requirement, in the design process of which the dynamic accuracy design(DAD) is indispensable and the related research is rarely available. In light of above reasons, a DAD method of ultra-precision machine tool is proposed in this paper, which is based on the frequency domain error allocation.The basic procedure and enabling knowledge of the DAD method is introduced. The application case of DAD method in the ultra-precision flycutting machine tool for KDP crystal machining is described to show the procedure detailedly. In this case, the KDP workpiece surface has the requirements in four different spatial frequency bands, and the emphasis for this study is put on the middle-frequency band with the PSD specifications. The results of the application case basically show the feasibility of the proposed DAD method. The DAD method of ultra-precision machine tool can effectively minimize the technical risk and improve the machining reliability of the designed machine tool. This paper will play an important role in the design and manufacture of new ultra-precision machine tool. 展开更多
关键词 Dynamic accuracy design Ultra-precision machine tool Frequency domain error allocation
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A New Method of Construction of Robust Second Order Slope Rotatable Designs Using Pairwise Balanced Designs
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作者 B. Re. Victorbabu K. Rajyalakshmi 《Open Journal of Statistics》 2012年第3期319-327,共9页
The following article has been retracted due to the investigation of complaints received against it. Title: A New Method of Construction of Robust Second Order Slope Rotatable Designs Using Pairwise Balanced Designs. ... The following article has been retracted due to the investigation of complaints received against it. Title: A New Method of Construction of Robust Second Order Slope Rotatable Designs Using Pairwise Balanced Designs. Authors: Bejjam Re. Victorbabu, Kottapalli Rajyalakshmi.The paper is a copy of Dr. Rabindra Nath Das’s former article, entitled “Slope rotatability with correlated errors (Vol. 54, pp. 57-70, 2003)” and “Robust second order rotatable designs (Part I)”. The scientific community takes a very strong view on this matter and we treat all unethical behavior such as plagiarism seriously. This paper published in OJSVol.2 No.3, 319-327, 2012, has been removed from this site. 展开更多
关键词 Response Surface designS SLOPE Rotatability CORRELATED errorS Robustness SECOND Order SLOPE Rotatable designS (SOSRD)
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全旋转随钻姿态测量系统的研制
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作者 石明江 曹人文 +1 位作者 秦连升 倪茂 《仪表技术与传感器》 CSCD 北大核心 2024年第5期60-65,共6页
针对现有随钻姿态测量设备安装在无磁钻铤内部所导致空间利用率低等问题,提出一种全旋转随钻姿态测量系统。全旋转姿态测量系统以三轴加速度计、三轴磁力计与三轴陀螺仪为主要测量结构;以FPGA芯片和MCU芯片组成AMP运行模式的多核处理器... 针对现有随钻姿态测量设备安装在无磁钻铤内部所导致空间利用率低等问题,提出一种全旋转随钻姿态测量系统。全旋转姿态测量系统以三轴加速度计、三轴磁力计与三轴陀螺仪为主要测量结构;以FPGA芯片和MCU芯片组成AMP运行模式的多核处理器为控制核心;同时采取UKF滤波、误差修正的性能改善措施;最后应用四元数法解算出井斜角、方位角、工具面角。搭建工装实验平台验证系统可行性。实验结果表明:转速为1.00 r/min和1.50 r/min时,井斜角45°、方位角135°测量误差最大,井斜角、方位角绝对误差分别为2.24°,3.16°。井斜角45°、方位角0°时,转速4.00 r/min工具面角绝对误差最大,工具面绝对误差为3.22°。该测量系统能在工装平台实时测量并解算3种姿态角。 展开更多
关键词 全旋转 系统设计 误差校正 姿态解算
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血浆脂蛋白琼脂糖凝胶电泳综合实验设计
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作者 冯俊荣 唐永政 高慧鑫 《广州化工》 CAS 2024年第13期162-164,共3页
血浆脂蛋白琼脂糖凝胶电泳实验是生物化学实验课程中的经典实验,但因其操作单一、等待时间过长,学生的收获感不强,有必要进行综合设计。把上课时间分为三个时段,在各个时段设计多种学习活动:串讲原理、做练习题使相关知识融会贯通;阅读... 血浆脂蛋白琼脂糖凝胶电泳实验是生物化学实验课程中的经典实验,但因其操作单一、等待时间过长,学生的收获感不强,有必要进行综合设计。把上课时间分为三个时段,在各个时段设计多种学习活动:串讲原理、做练习题使相关知识融会贯通;阅读文献,提出疑问;设置试误样品组、做相关实验,启发学生顿悟。通过这些学习活动,学生不仅学会了电泳技术的基本操作,还深刻理解了实验原理,强化了勇于探索的科学精神,体会了顿悟的快乐。 展开更多
关键词 血浆脂蛋白 琼脂糖凝胶电泳 苏丹黑 综合实验设计 试误教学
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戴煦《外切密率》“降位迟速”问题探赜
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作者 王鑫义 《内蒙古师范大学学报(自然科学版)》 CAS 2024年第4期369-375,共7页
“杜氏三术”传入后,从明安图开始的中算家在证明和推广割圆捷术的同时,也关注其中的“降位迟速”问题。他们对这一问题的认识不尽相同,均考虑到了计算效率的问题,但在具体实施计算的过程中,戴煦对“降位迟速”问题的见解独到、处理方... “杜氏三术”传入后,从明安图开始的中算家在证明和推广割圆捷术的同时,也关注其中的“降位迟速”问题。他们对这一问题的认识不尽相同,均考虑到了计算效率的问题,但在具体实施计算的过程中,戴煦对“降位迟速”问题的见解独到、处理方式极具价值。通过分析《外切密率》中的具体算例,从“降位迟速”问题的认识、弧度的分限、尾数的处理、误差的判断等方面,阐明戴煦所设计的“降位迟速”算法及所含的算理,为比较各算家所用“降位迟速”算法及廓清算法改进的路径提供借鉴。 展开更多
关键词 《外切密率》 降位迟速 算法设计 误差判断
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基于现代试验设计的风洞天平校准方法
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作者 刘春风 王瑞庭 +2 位作者 王雪枫 何啸天 张婷婷 《空气动力学学报》 CSCD 北大核心 2024年第3期111-118,共8页
风洞天平的校准精度直接决定了风洞试验的气动载荷测量精度,为了提升天平校准的质量和效率,以BCS-100天平校准系统为研究对象,基于现代试验设计方法(modern design of experiments,MDOE)开展了风洞天平校准研究。针对单因子变量法(one f... 风洞天平的校准精度直接决定了风洞试验的气动载荷测量精度,为了提升天平校准的质量和效率,以BCS-100天平校准系统为研究对象,基于现代试验设计方法(modern design of experiments,MDOE)开展了风洞天平校准研究。针对单因子变量法(one factor at a time,OFAT)天平校准中存在系统误差与响应量耦合的问题,采用MDOE的随机、重复和分块策略控制校准的系统误差,并选定响应面理论的中心复合设计方法生成校准矩阵。校准矩阵共计86个样本点,包括64个分级因子点、12个轴向因子点和10个中心因子点,其中所有样本点的加载顺序做随机化处理,并作为一个样本块在短时间内集中完成加载,中心因子点则用于满足重复原则。最后开展了OFAT和MDOE的对比校准,拟合载荷的残差正态概率分布显示MDOE校准中横侧向分量的样本点独立性更强,样本点残差最高可降低84%;检验载荷显示MDOE和OFAT两种方法中天平所有分量的综合加载重复性持平,MDOE校准中横侧向分量的综合加载误差最高可降低54%。研究表明MDOE能够有效降低校准的系统误差,提升横侧向小量的预测能力。 展开更多
关键词 风洞天平 校准 现代试验设计 中心复合设计 综合加载重复性 综合加载误差
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PRECODING AND DECODING DESIGN FOR TWO-WAY MIMO AF MULTIPLE-RELAY SYSTEM
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作者 Zhi Hui Yang Longxiang Zhu Hongbo 《Journal of Electronics(China)》 2012年第3期177-189,共13页
In this paper, a joint precoding and decoding design scheme is proposed for two-way Multiple-Input Multiple-Output (MIMO) multiple-relay system. The precoding and decoding matrices are jointly optimized based on Minim... In this paper, a joint precoding and decoding design scheme is proposed for two-way Multiple-Input Multiple-Output (MIMO) multiple-relay system. The precoding and decoding matrices are jointly optimized based on Minimum Mean-Square-Error (MMSE) criteria under transmit power constraints. The optimization problem is solved by using a convergent iterative algorithm which in-cludes four sub-problems. It is shown that due to the difficulty of the block diagonal nature of the relay precoding matrix, sub-problem two cannot be solved with existing methods. It is then solved by converting sub-problem two into a convex optimization problem and a simplified method is proposed to reduce the computational complexity. Simulation results show that the proposed scheme can achieve lower Bit Error Rate (BER) and larger sum rate than other schemes. Furthermore, the BER and the sum rate performance can be improved by increasing the number of antennas for the same number of relays or increasing the number of relays for the same number of antennas. 展开更多
关键词 Precoding and decoding design Iterative algorithm Two-way relaying Bit error Rate (BER) Sum rate
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