On the order and freedom of the curve of RPCCR linkages

Hong Sen Yan, Wen Hsiang Hsieh

研究成果: Article同行評審

摘要

The purpose of this paper is to investigate the property of the coupler curves generated by RPCCR linkages. First, the 3×3 matrix with dual elements is used to establish the loop closure equation, the displacement equations are derived, and all joints variables are expressed in terms of input and output variables. Then, the parametric equations of the coupler curve are found by the D-H matrix. Finally, homogeneous coordinate is introduced to those displacement equations, and the order and some critical properties of the coupler curve are investigated based on the theories of algebraic curve and analytical geometry of three dimensions. In addition, RPCCR and RRPCC linkages are used as examples for illustrations. Moreover, the results on the application of dimensional synthesis are discussed.

All Science Journal Classification (ASJC) codes

  • 機械工業

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