Bending stress analysis of orthogonal curve-face gear

Abstract

In order to solve the time-varying bending bearing capacity of orthogonal curve-face gear, we proposed the calculation and test method of bending stress of gear tooth root. Using the spatial engagement theory and gear carrying capacity theory, the parametric equations of pitch curve and pressure angle on the pitch curve of orthogonal curve-face gear were derived, and the algorithm of equivalent tooth form factor and equivalent stress correction factor was obtained. Force condition in the meshing process of orthogonal curve-face gear was analyzed. The variation of principal curvature and force of orthogonal curve-face gear was achieved. Using the simplification algorithm of regarding the orthogonal curve-face gear pair as equivalent non-circular gear rack, the calculation method of bending stress of orthogonal curve-face gear was acquired, and the impact of basic structure parameter of gear pair on bending stress was analyzed. Using five-axis CNC machining to process the entity. Experimental of orthogonal curve-face gear using strain gauges was carried out to justify the correction of the theory. Comparing the theoretical calculation and experimental results, the variation laws was similar, and then the calculation method of bending strength of orthogonal curve-face gear was verified.

Analysis and calculation of bending fatigue life of curve-face gear

“…(1-4), the effective tangential force F b can be derived as Among Eqs. (1) to (5), 2 is angular velocity of curveface gear, R is radius of the cylindrical surface where the curve-face gear pitch curve is located, and i is pressure angle of the curve-face gear and it can be represented as i = 11 ∕18 -arctan r( )∕r � ( ) [4], where r( ) is polar equation of non-circular gear pitch curve.…”

“…Lin et al firstly proposed the design method of curve-face gear pair based on traditional face gear and then derived the gear pair equation expression of curve-face gear [2,3]. The bending stress and contact analysis of curve-face gear also have been studied by Lin [4,5]. But at present, research work on the fatigue life of this new type of gear pair has not been carried out at home and abroad, which limits the application and development of the curve-face gear pair in some aspects.…”