基于杆组特征值判别和创新机构的拓扑图方法

摘要

This paper analyzes the mechanism model synthesis methods, uses numerical value count method to induce the relationship and formulas between the number of pairs in Assur Group, the number of links and pairs in the link, and the numbers of outer linked pairs, then analyzes and lists the eigenvalue of Assur groups which contain 2,4,6,8 links. Based on the eigenvalue of Assur Group, brings forward a new drawing method and corresponding rules for mechanism topology figure, uses this method to do mechanism transform can easily get large numbers of different configuration of same Assur Group and same eigenvalue, thus provides a new theory for planar mechanism model synthesis based on Assur Group. Finally uses Assur Group eigenvalue to do mechanism level distinguish and creative design, and proves this theory＇s validity by an example.%分析了机构型综合的方法,用数值计算方法推导出杆组中运动副数、多元连杆数、环路数、外运动副数之间的关系和计算公式,并分析列出了2,4,6,8构件杆组的特征值。基于杆组的特征值,提出了一种新的机构拓扑图绘制方法,应用该方法对机构进行变换,可方便地获得大量具有相同特征值的杆组异构体,为基于杆组的平面机构型综合提供了一种新的方法。使用杆组特征值,可快速对机构进行识别和创新,通过一个实例验证该方法的有效性和正确性。