给定4R开链的八杆机构解域综合理论与方法

Solution Region Synthesis Method of Eight-bar Linkages for 4R Open Chain

针对八杆机构四位置尺寸综合问题,提出了一种解域综合方法。首先根据给定4R开链的4个位置求解出满足要求的解曲线,并根据解曲线的可行区段建立解域。应用提出的八杆机构运动缺陷判断方法剔除解域中存在运动缺陷的机构,最后根据实际要求建立约束条件形成可行解域。设计者可以从可行解域中快速准确地挑选出满足要求的机构。解域综合方法有效地解决了八杆机构四位置尺寸综合问题,为八杆机构的综合及在现实中得到更广泛的应用提供了行之有效的新理论和方法。最后举例说明了八杆机构的四位置综合过程。

For the dimension synthesis of eight-bar linkages for 4-position, a solution region synthesis method was presented. Firstly, the solution curves meeting the requirements were obtained according to the specified 4-position 4R open chain. The solution region was set up according to feasible sections of solution curves. Secondly, the linkage with defects was removed from the solution region by using defects identification method of eight-bar linkages. Finally, the feasible solution region was built and practical engineering requirements were considered and imposed. The eight-bar linkages from the feasible solution region, which met the requirements, can be picked out rapidly and accurately by designers. The problem of dimension synthesis of eight-bar linkages for 4-position was solved effectively by the solution region synthesis method and the eight-bar linkages could be widely applied in reality. The synthesis process of eight-bar linkages for 4-position was illustrated by the example.