Abstract:As an axially movable teeth transmission

oscillating-disc movable teeth transmission has the advantage of small radial dimension

but its application is limited by complicated structure and unbalanced load and force-coupling.In this paper

the theoretical calculation

modeling and simulation

mapping analysis and variable-controlling approach

and softwares such as Pro/E and MATLAB

were used to improve the structure of oscillating-disc movable teeth transmission and analyze its tooth profile.Based on existing research results

through theoretical calculations

the two-tooth-difference form of oscillating-disc movable teeth transmission and its motion equation and tooth profile equation were derived

and the new structure of two-phase surge wheel was designed.By 3D modeling

the curvature distribution of end gear was simulated

the variation along pitch cylinder and the distribution on the spatial tooth surface were analyzed respectively.According to the instantaneous circular motion model

the addendum on the spatial tooth surface was determined

the corresponding formulas of the coordinate vector and the radius of curvature were derived.Referred to the principle of the top cut in the planar movable teeth transmission

the boundary condition of the top cut in the two-tooth-difference oscillating-disc movable teeth transmission was calculated.The influences of parameters such as the radius of the pitch circle

the transmission ratio

the amplitude and the radius of the movable tooth on the tooth profile were analyzed by the variable-controlling approach

and the influence degree of each parameter was studied in the same coordinate system by using the relative deviation as the independent variable.Finally

the actual tooth vertex of end gear was located inside the pitch cylinder instead of on it’s surface.Varieties such as the decrease of pitch circle radius

the increases of transmission ratio

amplitude and movable tooth radius

were all found contributing to narrowing the tooth profile and leading to the top cut.The former two parameters actually changed the circumferential distribution of the tooth profile

while the latter two changed the distribution axially instead.