Solving a Planar Four-Bar Linkages Design Problem

摘要：

The problem of synthesizing a planar four-bar linkages whose curve passes through five prescribed precision points based on elimination methods has been a difficult problem in kinematics because it is of high polynomial degree and highly nonlinear. A new elimination method to solve the problem is presented. Based on the presented method, a 36th degree univariate polynomial of the problem is derived from the determinant of a Sylvesters matrix, which is relatively small in size, without factoring out or deriving the greatest common divisor. Conclusion shows that there are generically 36 non-degenerate solutions of the problem. To verify the obtained conclusion, the completely same result can be obtained using continuation method.

作者: Xiguang HUANG Guangping HE Qizheng LIAO Shimin WEI Xiaolan TAN

作者单位: School of Mechanical and Electrical Engineering,North China University of Technology,Beijing,100041, School of Automation,Beijing University of Posts and Telecommunications,Beijing,100876,P. R. China

会议类型: 国际会议

会议名称: 2009 IEEE International Conference on Information and Automation(2009年 IEEE信息与自动化国际学术会议)

会议地点: 珠海、澳门

会议语种:英文

页码: 1586-1590

在线出版日期: 2009-06-22（万方平台首次上网日期，不代表论文的发表时间）