CALCULATION METHOD OF CIRCULAR TOOTH PROFILE OF SILENCED GEAR PUMP AND GEAR CALCULATED BY THE SAME

摘要

The present invention is a method of predicting a circular tooth shape of a gear pump using equations derived through experiments, and the basic circle having a radius of rb, a pitch circle having a radius of rp, and the basic circle of the gear pump gear using the equation An involute curve (BC) connecting the upper pole (B), which is the intersection of the tangent line of one end (A) of the arc drawn by the angle (α) set on the image, and the extension line formed while forming the angle (β) set at the other end (C) the first step shown; After the involute curve BC is defined, the involute curve BC and a part of the basic circle are in contact with, pass through the center of the basic circle, and pass through the intersection point D of the pitch circles and extend to a set length. A second step of drawing a tangent line at the upper pole (B) located at the meeting point in ; a third step of plotting an intersection (O1) intersecting a line passing through the center of the basic circle at a right angle from a tangent line passing through the upper pole (B); a fourth step of drawing an upper arc whose radius is a line connecting the upper pole B from the intersection point O₁; a fifth step of drawing a tangent line passing through the lower pole C, which is an intersection point of a basic circle where the involute curve BC passing through the upper pole B intersects the basic circle; a sixth step of plotting a second intersection point (O2) intersecting a line passing through the center of the basic circle at a right angle from a tangent line passing through the lower pole point (C); a seventh step of drawing a lower arc as a radius of a line connecting the lower pole (C), which is the intersection of the basic circle, and the second intersection (O₂); an eighth step of forming a tooth contour through a combination between a plurality of the upper arcs and the lower arcs; and a ninth step of deriving the overall shape of the gear based on the data obtained through the first to eighth steps.