On the basis of establishing the straight bevel gear meshing coordinate system with installation error
the way of using Gauss curvature of different surface to indicate installation error sensitivity of the straight bevel gear modification tooth surface on the two tangent contact tooth surfaces is put forward.The contact path of modification straight bevel gear which has low sensitivity to installation errors is obtained by using penalty function method to optimize the long axis of the contact ellipse. The result shows that contact ellipse long axis have the largest effect on the tooth surface sensitivity coefficient and the better contact path is gained after optimizing the long axis of the contact ellipse
installation errors sensitivity of the straight bevel gear modification tooth surface are able to reduce when contact path is perpendicular to root cone.