Dynamic analysis of involute spur gears with asymmetric teeth

An improved numerical method for the mesh stiffness calculation of spur gears with asymmetric teeth on dynamic load analysis

“…Because it is a nonstandard design, asymmetric teeth provide variability to designers in different application fields. 1 Asymmetric teeth consist of a standard involute profile but with different pressure angles on the drive and back side of the teeth. Apart from that, all the other parameters are the same as with the symmetric standard spur gears.…”

“…2 Many researchers have investigated the stress and deformation analysis of gears with asymmetric teeth in the literature. [3][4][5][6][7][8][9][10][11][12][13] Kapelevich 3 derived equations required for asymmetric gear design and developed a method for this purpose. The author confirmed that, when a high-pressure angle on the drive side is chosen, the bending and contact stress and vibration levels are substantially reduced.…”

Influence of Root Geometry on Bending Stress for Involute Spur Gears

“…The limits of asymmetric concept were determined. Karpat et al [2] investigated effect of changing pressure angle on drive side of gear on bending stress with FEA. When increasing pressure angle 20° to 40° on drive side, the stress reduces 35% approximately.…”

Geometric design of involute spur gear drives with symmetric and asymmetric teeth using the Realized Potential Method

“…The influence of the pressure angles and other geometric parameters of asymmetric teeth on the gear drive quality is examined by Brecher et al [12] and Kumar et al [13]. Many publications examine the determination of bending stresses [14][15][16] by asymmetric teeth and dynamic analysis [17] of gear drives of asymmetric geometry. Nomenclature c 1 , c 2 bottom clearance (mm) g 1 , g 2 depth of rack-cutter fillet for driving side profile (mm) g 1 min , g 2 min minimum depth of rack-cutter fillet for driving side profile (mm) g 1 ,g 2 depth of rack-cutter fillet for coast side profile (mm) h total tooth depth of rack-cutter (mm) h a addendum of basic rack tooth (mm) h l common depth (mm) h p1 , h p2 pitch point depth (mm) m module (mm) p nominal pitch of the rack-cutter (mm) p b base pitch (mm) r 1 , r 2 reference circle radius (mm) r a1 , r a2 addendum circle radius (mm) r b1 , r b2 base circle radius for driving side profile (mm) r b1 , r b2 base circle radius for coast side profile (mm) r f1 , r f2 root circle radius (mm) r w1 , r w2 pitch circle radius (mm) s 1 , s 2 tooth thickness at reference circle (mm) s 01 , s 02 tooth thickness at datum line of rack-cutter (mm) s a1 , s a2 tooth thickness at addendum circle (mm) s a0 tooth thickness at tip line of rack-cutter (mm) s g1 , s g2 tooth thickness at fillet line of rack-cutter (mm) s w1 , s w2 tooth thickness at pitch circle (mm) u tooth ratio X 1 , X 2 radial shift of the rack-cutter (mm) x 1 , x 2 radial (addendum) modification coefficient X τ1 , X τ2 tangential profile shift of the rack-cutter (mm) x τ1 , x τ2 tangential modification coefficient x τΔ1 equilibrium tangential modification coefficient in pinion z 1 , z 2 number of teeth of the pinion (1) and the gear (2) α profile angle of the rack-cuter for driving side teeth (deg) α^profile angle of the rack-cuter for coast side teeth (deg) α w pressure angle of the gearing for driving side profiles (deg) α ŵ pressure angle of the gearing for coast side profiles (deg) α a1 , α a2 pressure angle at addendum circle radius for drive side profile (deg) α a1 , α a2 pressure angle at addendum circle radius for coast side profile (deg) ε α contact ratio for driving side profiles ε α contact ratio for coast side profiles ε pw gear drives potential ρ fillet radius of the rack-cutter for driving side profile (mm) ρ^fillet radius of the rack-cutter for coast side profile (mm) By using the traditional principle for defining the geometry of gears by a rack-cutter, a generalized model has been developed by Alipiev and Antonov [18][19][20] for the geometrical calculation of involute gear drives with symmetric and asymmetric teeth.…”