最小二乗法曲線照合による平面多節リンク機構の総合

抄録

A new method for synthesizing the planar multilink mechanism is presented based on the high-speed comparison of two curves. The curve comparison is achieved by scaling up or down the coupler curve in order for its length to coincide with that of the desired curve, and by rotating and translating the coupler curve so that the maximum value of distances between two corresponding points on the coupler and desired curves may be minimized using the method of least squares. The formulas of coordinate transformation of the coupler curve are also presented for minimizing the maximum value of perpendicular distances from the points on the coupler curve to the tangents of the desired curve at the corresponding points. Numerical examples included here show that the method has attractive convergence properties in a search domain composed of kinematic constants.