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球面4R机构四位置综合的类型图方法

Synthesize Spherical 4R Linkages for Four Specified Orientations Based on Type Map

中文摘要英文摘要

球面4R机构的四位置综合,由于计算量大,求解质量难以预先把握和控制,且具有实质上的的盲目性,妨碍了其在工程技术领域中的推广和应用。本文在对美国加州大学欧文分校所提出的类型图概念进行剖析的基础上,利用球面Burmester理论的相关原理,基于Matlab平台,提出了类型图及其缺陷甄别的一种实现方法,将Burmester曲线综合出的全部球面4R机构进行属性分类,使得设计者可以在众多可行的机构综合方案中迅速定位到满足工程需要的机构,很大程度上解决了球面4R机构四位置综合中的复杂性和盲目性难题。通过算例,本文证实了该方法的有效性和实用性,为解决球面4R机构四位置综合问题提出了新方法和新思路。

Because of the complex computation and the big blindness of the synthesis of spherical 4R linkages for four specified orientations, it is difficult to ensure the mechanism solutions of the problem to be practicable, and limited it's application in the field of engineering. Based on the study on Type map proposed by the Robotics and the Automation Laboratory attached to University of California, Irvine and the theory of burmester, this paper gives a approach to realize the method of Type map and proposes a algorithm of defect mechanism discrimination on the platform of Matlab to classify all the spherical 4R linkages synthesized by burmester curve according to their attributes, allowing designers quickly locate the solution project needs from a set of possible mechanism synthesis results. Finally, An instance is cited to realize the effectiveness of the method and give a new idea to solve such synthesis problems.

史立新、王光明

机械学机械设计、机械制图机械零件、传动装置

机械设计及理论球面4R机构Burmester曲线类型图

Machine design theorySpherical 4R linkagesBurmester curveType map

史立新,王光明.球面4R机构四位置综合的类型图方法[EB/OL].(2011-07-18)[2025-08-17].http://www.paper.edu.cn/releasepaper/content/201107-248.点此复制

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