円筒歯車の歯当たりに関する基礎研究 : 第3報,FEMを利用した負荷歯当たり解析

抄録

The authors have already developed a program for numerically simulating the tooth bearing considering tooth flank configurations and alignment errors under no load. With application of 3-dimensional FEM analysis, a method for calculating the tooth contact patterns of cylindrical gears under load is proposed. First, tooth deflections of mating gear pairs are calculated using FEM. Boundary conditions are obtained from the results of tooth bearing analysis under no load. Loads are distributed to tooth flanks according to the separation between contact surfaces. By transformation of the deflections to the errors of the mating tooth surfaces, the former can be expressed as tooth flank configurations under no load. Second, these transformed tooth flank configurations, which are constructed from tooth deflections, are superposed onto the actual values obtained under no load. Then contact patterns can be calculated using the algorithm under no load without modification. With this method, contact patterns similar to actual ones are obtained without iteration. This indicates that the tooth bearing analysis under no load is important in applying this method for obtaining boundary conditions.