The design of basic rack tooth profile of tangent quadruple circular-arc gear means to the problem that non-working surface of tangent double-arc gear contact is proposed.Moreover

the tangent quadruple circular-arc gear has one simultaneous meshing point more than double-arc gear.Based on the geometrical analysis of the design

the parameters of basic rack tooth profile of tangent quadruple-arc gear are calculated.Then

the way to calculate the gap of the non-working surface of tangent calculate double-arc gear or of tangent quadruple circular-arc gear and the criterion whether non-working surface contacts are proposed and proven.Without cusp

the design of basic rack tooth profile of tangent quadruple circular-arc gear adapt to being processed by CNC gear form grinding tool.