The calculation and design of the number of teeth is an important part of the gear manufacturing process. The following is the method of calculating and designing the number of gear teeth in general: Calculate the transmission ratio: First of all, you need to determine the transmission ratio of the gear, that is, the ratio of the speed of the input shaft to the speed of the output shaft. The transmission ratio can be determined according to the requirements, such as acceleration ratio, deceleration ratio, or keeping the same speed. Know the modulus or the diameter of the index circle: Module is an important parameter of the gear, indicating the ratio of the number of teeth of the gear to the diameter of the index circle. The diameter of the index circle is the reference diameter on which the number of teeth of the gear is based. Calculate the number of teeth according to the formula: Calculate the number of teeth using the formula. The specific formula will vary according to the type of Gear and transmission mode, the commonly used gear type and calculation formula are as follows: Spur Gear/drive gear (z = π × D ÷ m), where z is the number of teeth, D is the diameter of the indexing circle, m is the modulus. Bevel Gear: z = (N1 + N2) ÷ 2, where z is the number of teeth, N1 and N2 are respectively the number of teeth at the intersection point of two bevel gears and the vertex of the projection Angle. Worm Gear: z = N × p, where z is the number of teeth, N is the modulus of the worm shaft, and p is the inclination Angle of the worm helix. The above formula is only a general calculation method, the specific calculation and design also need to consider the working conditions of the gear, gear transmission efficiency and processing technology and other factors. In the actual design, it is recommended to consult a professional mechanical engineer or use specialized gear design software for calculation.
