Some Algebraic Criteria on Coupler Curve's Double Points
GU De-yu · Mechanical Science and Technology · 2001
The double points are one of the most distinct f eatures of the coupler curve generated by four-bar linkage. The geometrical app roach can only lead to qualitative analysis which is not enough for the synthesi s of four-bar path generator. In this paper, double points of the coupler curve were studied quantitatively with algebraic method. Some criteria and formulas w ith structure parameters of four-bar linkage for computing coordinates of doubl e points were developed from cubic algebraic equation. The optioned range and ef fect of structure parameters on the roots of the cubic equation were analyzed. T he results are useful for preventing from aimless searching in numerical approac h and quickly obtaining expected linkage.