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By BiCkford, the pressure distribution area of the connected parts is equivalent to a hollow cylinder. BaCh assumed that the compressive stress is evenly distributed along the vertical axis interface, and its magnitude varies with the axial displacement. Shigley took the half-top Angle as a variable and ignored the influence of clearance and bolt head diameter changes on the stiffness, and obtained the stiffness value by differential expression of axial deformation. Sethuraman, Nassar and the German Engineering Association improved the stiffness calculation formula by taking thickness, diameter and material properties into account. Yoshimura proved through experiments that the total stiffness of the joint surface can be obtained by integrating the stiffness of the joint surface per unit area. In China, Professor Yang Guoqing of Xi 'an Jiaotong University introduced a fourth order relation of assuming the compressive stress of the compression layer of the vertical bolt axis in the radial position. The research shows that the positive pressure of the bolt joint surface has a great influence on tangential dynamic characteristic parameters. With the increase of the positive pressure, the tangential contact stiffness increases and the overall damping trend decreases.

In 1997, data presented at the European Machine Tool Exhibition showed that 25% of enterprises considered grinding to be the most important machining technology they used. Grinder accounted for 42% of the enterprise machine tools, while lathes accounted for only 23% and milling machines accounted for 20%. In recent years, with the application of diamond grinding wheel and CBN grinding wheel, the development of spindle system, feed system, grinding fluid and injection system and grinding wheel rest, grinding has a more important position in the field of machinery manufacturing.