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G-凸空间内G_F-优化对应的极大元和抽象经济平衡(英文) 被引量:8
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作者 丁协平 《四川师范大学学报(自然科学版)》 CAS CSCD 2003年第6期555-565,共11页
设I是有限或无限指标集 .引入了涉及集值映象F∈Ukc(Y ,X)的一类映拓扑空间X到广义凸空间 (Yi,Γi)的GF 优化映象 ,其中Y=∏i∈IYi是广义凸空间 (Yi,Γi)的乘积空间 .在广义凸空间的非紧设置下 ,证明了GF 优化映象族的极大元存在定理 .... 设I是有限或无限指标集 .引入了涉及集值映象F∈Ukc(Y ,X)的一类映拓扑空间X到广义凸空间 (Yi,Γi)的GF 优化映象 ,其中Y=∏i∈IYi是广义凸空间 (Yi,Γi)的乘积空间 .在广义凸空间的非紧设置下 ,证明了GF 优化映象族的极大元存在定理 .作为应用 ,对具有GF 优化对应的定性对策和抽象经济 ,在广义凸空间的非紧设置下建立了某些新的平衡存在性定理 .这些定理改进 。 展开更多
关键词 GF-优化对应 极大元 抽象经济 定性对策 平衡 广义凸空间
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完全各向同性解耦2T2R型并联机器人构型综合 被引量:2
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作者 曹毅 秦友蕾 +2 位作者 陈海 葛姝翌 周辉 《哈尔滨工业大学学报》 EI CAS CSCD 北大核心 2016年第7期94-100,共7页
为得到完全各向同性解耦并联机器人构型,基于GF集理论提出一种简单而有效的构型综合方法.阐述GF集的基本概念、运算法则以及转动特征存在条件;给出机构输入运动副选择原则和分支设计准则,确保了并联机构运动各向同性及解耦性;根据该构... 为得到完全各向同性解耦并联机器人构型,基于GF集理论提出一种简单而有效的构型综合方法.阐述GF集的基本概念、运算法则以及转动特征存在条件;给出机构输入运动副选择原则和分支设计准则,确保了并联机构运动各向同性及解耦性;根据该构型综合原理,完成2T2R四自由度完全各向同性解耦并联机构型综合,得到大量新构型;针对所综合的一种新型并联解耦机构,基于螺旋理论求得该机构运动输出,通过求解到的雅克比矩阵,验证该机构的完全各向同性,证明了该构型方法的有效性. 展开更多
关键词 并联机构 型综合 GF 完全各向同性 解耦
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Optimization and Mechanical Accuracy Reliability of a New Type of Forging Manipulator 被引量:6
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作者 CHEN Kang MA Chunxiang +1 位作者 ZHENG Maoqi GAO Feng 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2015年第2期236-248,共13页
Researches on forging manipulator have enormous influence on the development of the forging industry and national economy.Clamp device and lifting mechanism are the core parts of forging manipulator,and have been stud... Researches on forging manipulator have enormous influence on the development of the forging industry and national economy.Clamp device and lifting mechanism are the core parts of forging manipulator,and have been studied for longer time.However,the optimization and mechanical accuracy reliability of them are less analyzed.Based on General Function(G_F)set and parallel mechanism theory,proper configuration of 10t forging manipulator is selected firstly.A new type of forging manipulator driven by cylinders is proposed.After solved mechanical analysis of manipulator's core mechanisms,expressions of force of cylinders are carried out.In order to achieve smaller force afforded by cylinders and better mechanical characteristics,some particular sizes of core mechanisms are optimized intuitively through the combined use of the genetic algorithms(GA)and GUI interface in MATLAB.Comparing with the original mechanisms,optimized clamp saves at least 8 percent efforts and optimized lifting mechanism 20 percent under maximum working condition.Finally,considering the existed manufacture error of components,mechanical accuracy reliability of optimized clamp,lifting mechanism and whole manipulator are demonstrated respectively based on fuzzy reliability theory.Obtained results show that the accuracy reliability of optimized clamp is bigger than 0.991 and that of optimized lifting mechanism is 0.995.To the whole manipulator under maximum working condition,that value exceeds 0.986 4,which means that optimized manipulator has high motion accuracy and is reliable.A new intuitive method is created to optimize forging manipulator sizes efficiently and more practical theory is utilized to analyze mechanical accuracy reliability of forging manipulator precisely. 展开更多
关键词 forging manipulator g_f set configuration optimization mechanical reliability
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四自由度混联机器人构型综合
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作者 曹浩峰 曹毅 《江南大学学报(自然科学版)》 CAS 2015年第6期798-803,共6页
运用G_F集理论针对四自由度机器人根据末端给定的运动分别设计可行的机构,然后用螺旋理论对所构型的机器人进行分析,判断并验证其自由度类型。对混联机器人进行构型综合,为后续选用和分析提供基础。
关键词 混联机构 g_f集理论 构型综合 螺旋理论
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Structural Synthesis of 3T2R Five-Degree-of-Freedom Hybrid Mechanism
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作者 曹毅 秦友蕾 +2 位作者 陈海 周辉 李保坤 《Journal of Donghua University(English Edition)》 EI CAS 2016年第3期425-432,共8页
The structural synthesis of mechanisms is a prerequisite of mechanical design,thereby,it is necessary to pay attention to the structural synthesis of mechanisms,especially for the type synthesis of hybrid mechanisms.A... The structural synthesis of mechanisms is a prerequisite of mechanical design,thereby,it is necessary to pay attention to the structural synthesis of mechanisms,especially for the type synthesis of hybrid mechanisms.A very simple yet very effective method was presented for the structural synthesis of hybrid mechanisms based on the set theory.The basic concept and mathematical operation of G_F set were firstly introduced.Based on the G_F set,a type synthesis principle for serial mechanisms,parallel mechanisms and hybrid mechanisms was presented,especially,a detailed algorithm of type synthesis for hybrid mechanisms was proposed as well.It is shown that type synthesis of hybrid mechanisms can be developed by the combination of elements of G_F set and rotation axis transfer theorem.Further investigation shows that structures of 3T2R fivedegree-of-fteedom(DoF) hybrid mechanism only have one category,i.e.,G_F^I.Finally structural synthesis of 3T2R hybrid mechanism for this category is illustrated with example to demonstrate the applicability of the type synthesis principle. 展开更多
关键词 hybrid mechanism structural synthesis g_f set
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