The use of Burmester Curves in combination with the Least Square method in the design of the Stephenson-I type mechanism

This paper provides a brief description of an approach that utilizes Burmester curves in designing six-bar mechanisms that prescribe five precision points. This approach combines the Freudenstein method and the Least Square method with Burmester theory. With this paper, we demonstrate the application of this combined approach in designing Stephenson I type six-bar planar mechanisms that prescribe five positions, using a specific case study. The results show that there is a means of combining the three methods in the design of the six-bar mechanism of Stephenson I type and generating the fixed and moving points of the six-bar where the structural error (the difference between the desired output angle and the generated angle) is minimized.