螺旋锥齿轮, 齿面偏差, 截断奇异值分解法, L曲线法, 刀倾法

According to the characteristics of the tooth surface deviation identification model of spiral bevel gear and defects of the least squares method solving, TSVD and the L curve method were proposed. The identification equation was solved to use TSVD and the L curve method and the least squares method separately. The research results show, to the concave, using TSVD and the L curve method, the equation solution error is 0.051 571, but using the least squares method, the equation solution error will be 0.895 63; to the convex, using TSVD and the L curve method, the equation solution error is 0.043 882, but using the least squares method, the equation solution error will be 0.353 76. Using TSVD and the L curve method this tooth surface deviation identification equation is solved more precisely, and the obtained solutions are meaningful. 

spiral bevel gear, tooth surface’s deviation, truncated singular value decomposition(TSVD), L curve method, tilting method