圈上泽文通大华 Conjugate Action(共轭) For a pair of gears to maintain a constant angular velocity ratio,the common normal of n both contacting surfaces must K Pitch circle pass through the fixed "pitch 节圆 point". Pitch circl The angular velocity ratio 节圆 between 2 meshing gears remains constant throughout the mesh 02 圈上泽夫道大学 Fundamental Law of Gearing Angular velocity ratio(my) Torque ratio(m)is mechanical advantage(m) VK2 n VK2K1 C K Pitch circle 节圆 Pitch circle 节圆 0 din y =±五=± Iout 02 d 11
11 1 2 O1 O2 C2 1 2 C1 n n P vK1 vK2 v K K2K1 Pitch circle 节圆 Pitch circle 节圆 For a pair of gears to maintain a constant angular velocity ratio, the common normal of both contacting surfaces must pass through the fixed “pitch point”. The angular velocity ratio between 2 meshing gears remains constant throughout the mesh Conjugate Action(共轭) 1 2 O1 O2 C2 1 2 C1 n n P vK1 vK2 v K K2K1 Pitch circle 节圆 Pitch circle 节圆 Fundamental Law of Gearing Angular velocity ratio (mV) Torque ratio (mT) is mechanical advantage (mA) in out in out out in in out T out in out in in out V d d r r ω ω T m d d r r ω ω m T
圈上海充通大峰 Fundamental Law of Gearing Involute curve 口 "String” There are 2 common profiles that give tangent to constant angular velocity ratios base circle >Cycloidal and normal >Involute to involute The involute profile can maintain the same velocity ratio even if there is some misalignment in the distance between the shafts. >We can equate the angular velocity ratio to the gear ratio! Base circle or evolute 圈上泽夫道大学 Involute Profile(渐开线齿廓) One tooth profile that satisfies the law of gearing is the involute profile and is used universally for gear teeth. It is the path traced by a point on a line as the line rolls without slipping on the circumference of a circle The circular cross section of the cylinder is the base circle(基圆). 12
12 There are 2 common profiles that give constant angular velocity ratios Cycloidal Involute The involute profile can maintain the same velocity ratio even if there is some misalignment in the distance between the shafts. We can equate the angular velocity ratio to the gear ratio! Fundamental Law of Gearing Involute Profile（渐开线齿廓） One tooth profile that satisfies the law of gearing is the involute profile and is used universally for gear teeth. It is the path traced by a point on a line as the line rolls without slipping on the circumference of a circle The circular cross section of the cylinder is the base circle（基圆）