Profile Gear Grinding Temperature Determination

The paper is devoted to solving an important scientific and technical problem of determining the profile gear grinding temperature based on the choice of simple but at the same time adequate solution from the available analytical ones. The initial prerequisite for the paper developing concept is that of a moving heat source, which was originally proposed and investigated by J. C. Jaeger. In engineering applications, the moving heat source is often represented in the form of the moving contact zone between the grinding wheel and the workpiece surface, which forms a three-dimensional or two-dimensional temperature field in the Cartesian coordinate system around itself with and without taking into account the influence of the source length in the direction, which is perpendicular to the direction of the source moving, respectively. There is another possibility to simplify the determination of grinding temperature by choosing a one-dimensional solution of the differential heat conduction equation in which the source moving with the certain velocity is absent and replaced by the time of action of a stationary heat source. This time is equal to the ratio of the contact length to the velocity of its moving. Due to the high speeds of discontinuous gear grinding process, the replacement of the moving source by a stationary one often does not affect the accuracy of determining the grinding temperature in a thin surface layer.