论文:2012,Vol:30,Issue(5):796-801
引用本文:
韩莹莹, 袁茹, 王三民. 环状可展机构构型设计的D-H矩阵传递法[J]. 西北工业大学
Han Yingying, Yuan Ru, Wang Sanmin. Applying D-H Transfer Matrix Method Effectively to Configuration Designing of Circular and Developable Mechanism[J]. Northwestern polytechnical university

环状可展机构构型设计的D-H矩阵传递法
韩莹莹, 袁茹, 王三民
西北工业大学 机电学院, 陕西 西安 710072
摘要:
环状可展机构具有收缩比大,质量轻等优点,在航天领域具有巨大的应用潜力。由于环状可展机构在结构上存在虚约束,其几何参数应满足协调条件,故其构型设计是十分复杂的问题,目前成为机构学领域一个研究热点。文章基于D-H矩阵传递法,建立了具有多个对称面的环状可展机构构型约束方程,得出了环状可展机构构型设计公式,研究了构件截面角、铰链扭角与展开角间的制限关系,给出了四杆、六杆和十二杆机构的参数关系曲线。研究工作对于进一步开展环状可展机构的尺寸优化设计奠定了基础。
关键词:    环状可展机构    D-H矩阵传递法    约束方程    构型设计   
Applying D-H Transfer Matrix Method Effectively to Configuration Designing of Circular and Developable Mechanism
Han Yingying, Yuan Ru, Wang Sanmin
Department of Mechanical Engineering,Northwestern Polytechnical University,Xi'an 710072,China
Abstract:
This paper forms a part of a research project supported by NNSFC(National Natural Science Foundationof China).Sections 1 and 2 of the full paper explain our application of the D-H transfer matrix method to the con-figuration designing of circular and developable mechanism.We believe that our application has obtained some re-sults useful in further research under the NNSFC project.The core of our thinking and sections 1 and 2 consists of:(1)the circular and developable mechanisms of forming a closed-loop have advantages such as large ratio of shrink-age and light weight, thus having a great potential application in aerospace field; since there are redundant con-straints in the structure of each mechanism, its geometric parameters should meet the compatibility conditions andthe configuration designing is a very complex problem; study on the configuration designing of the mechanism hasbecome one of the popular topics in mechanism research at present;(2) we establish constraint equations of themechanism of some planes of symmetry; we study the relationship among section angles of links on the first side, twist angles of hinges on the second side and the angle of spread on the third side.We give the relation curves ofparameters for each of three circular and developable mechanisms: four bars, six bars and twelve bars; these curvesare useful for further research work on sizing optimization of the circular and developable mechanisms.
Key words:    constrained optimization    design    kinematics    matrix algebra    mechanisms    transfer matrix method;circular and developable mechanism    configuration designing    constraint equation    D-H transfer ma-trix method   
收稿日期: 2011-10-28     修回日期:
DOI:
基金项目: 国家自然科学基金(51175422)资助
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作者简介: 韩莹莹(1988-),女,西北工业大学硕士研究生,主要从事机构的构型设计及运动学和动力学分析研究。
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