Method for Designing Lobe Shape of Gerotor Oil Pump Using Lemniscate Curve And Design System of Gerotor Oil Pump Using the Same

摘要

The present invention can derive an external rotor lobe shape with high performance and low noise characteristics by applying a new combination algorithm using translation, rotation, and symmetry algorithms to the extended lemniskate curve, and is excessively dependent on the curvature of the initially selected curve. It relates to a tooth shape design method of an oil pump capable of having more various shapes without being dependent on it and a tooth shape design system for an oil pump using the same. generating a constitutive equation as a basis using the method, and generating an expanded curve by multiplying the x-coordinate and y-coordinate of the base curve by constants k1 and k2, respectively; (S2) moving in parallel with respect to the x-axis so that one end of the extended curve generated in step (S1) is located at the origin, and then rotationally converting by a certain angle (η°) with respect to the origin; (S3) The rotation-converted extended curve is moved in parallel with respect to the y-axis by ''h'' so that the point where the slope of the tangent line is ∞ is above the x-axis, and then one end point is located at the origin. creating a; (S4) combining the curve generated in step (S3) by symmetric about the x-axis into two extended curves; (S5) With respect to the two extended curves generated in step (S4), the final external lobe shape is obtained by moving in parallel by ''d'' in the x-axis direction from the origin ''O'', which is the center of the external rotor. obtaining; (S6) with respect to the final outer lobe curve generated in step (S5), deriving a contact point between the outer rotor and the inner rotor; and, (S7) calculating the shapes of the inner rotor and the outer rotor from the contact points derived in the step (S6).