四位置导引机构解域分析及综合方法

对于给定的刚体四位置,在布尔梅斯特曲线上任取两组位置点可得到无穷多个机构解,要求设计者快速准确地从中选取位置点综合出满足各项设计要求的最优机构是比较困难的. 本文提出将无穷多机构解用有限机构解域来表示,通过机构解域初步分析绘出机构属性图,据此设计者可了解每个机构的类型、最小传动角、杆长比以及有无缺陷等信息. 其次施加约束条件构成可行机构解域,这样可避免位置点选取的盲目性. 最后基于可行机构解域或感兴趣的区域绘制机构性能分析图确定机构最优解.

Solution region analysis and synthesis method of 4-position rigid-body guidance

A set of Burmester curves can present an infinite number of rigid-body guidance solutions for given four rigid-body poses.It is difficult for designers to synthesize the best linkage through rapidly and exactly select points that ensure to satisfy every design condition.First,an infinite number of rigid-body guidance solutions were expressed as finite solution regions in this paper.Based on initial analysis of solution regions,the mechanism property graph was computed to make designers find out the revolved mechanism's information,such as type,minimum transmission angle,link-length ratio,defects,and so on.Second,after the design constraints were considered and imposed,the feasible solution regions which avoid aimlessness in choosing positions can be calculated.Finally,on the feasible solution regions or the one of interest,property analysis graphs were displayed,along with which the optimized rigid-body guidance solution produces.