The Meshing Test On Helical Gears under Load Transmission : 1st Report, The Approximate Formula for Deflections of Gear Tooth

In this paper, the deflections of a rack-shaped cantilever plate with finite width due to a concentrated load are studied. The numerical solutions for the deflections obtained by applying calculus of finite differences to the basic differential equation, show a few similar characteristics on condition that pressure angles of rack-typed cantilevers are equal. An approximate formula for defections has been established to make use of these characteristics. This formula coincides with the numerical solutions and with the experimental results. The effects of the number of teeth of gear on the characteristics of deflections are discussed in comparison with experiment on a gear tooth profiled cantilever.