NEW COMPLEX-NUMBER FORMS OF THE EULER-SAVARY EQUATION IN A COMPUTER-ORIENTED TREATMENT OF PLANAR PATH-CURVATURE THEORY FOR HIGHER-PAIR ROLLING CONTACT.

In this paper new complex-number forms of the Euler-Savary Equation are presented in a computer-oriented format. The results are useful in the application of path-curvature theory to higher-pair rolling contact mechanisms, such as cams and gears, as well as linkages, once the key parameters of an equivalent rolling-contact mechanism are known. The complex-number technique has the advantage of eliminating the need for the traditional sign conventions and is suitable for digital computation. An example is presented.