Standard modulus and calculation formula of cylindrical helical gear

Cylindrical helical gears can be used in parallel middle transmissions as well as cross shaft transmissions (helical gear mechanisms). Its characteristics: large coincidence coefficient, stable transmission, high gear strength, suitable for heavy loads, compared with straight teeth: helical teeth have Axial force.

one,Cylindrical helical gear module

The normal modulus of the helical gear is the standard modulus, which is selected according to the standard modulus value.The end face modulus of the helical gear has a corresponding relationship with the normal face modulus and helix angle. Mt = Mn / cosβ. Mn, normal face modulus; Mt, end face modulus; β, helix angle.

1. Gear diameter calculation method: Addendum circle diameter = (number of teeth +) * Modulus index circle diameter = Number of teeth * Modulus root circle diameter = Addendum circle diameter -. Modulus: M Addendum circle diameter = (+ )*=mm Diameter of the index circle.

2. The center distance is equal to the number of teeth of the two gears and the multiplying modulus divided by two times the COS helix angle.

3. The end face modulus of the helical gear mt=mn/cosβ, where: mn is the normal face modulus of the helical gear, that is, the standard modulus of the helical gear, and β is the helix angle of the helical gear (reference circle). , End face section Pt=πmt=πmn/cosβ, end face base section Pbt.

4. Calculation principle and method: differential change gear formula: differential fixed number *sinB/Mn*K=a/b*c/d Description: differential fixed number-the fixed number of each type of rolling machine is different. You need to find out your own machine tool What is the definite number. sinB- helix angle of workpiece Mn

two,Cylindrical helical gear calculation formula

Modulus m=d/Z (The unit of d is mm).

As can be seen:

m=(1/P)*25.4=25.4/P

P=(1/m)*25.4=25.4/m

Therefore, the relationship between the modulus m and the diametral pitch P is the reciprocal of each other, but the unit system is different.

Corresponding to the conversion of units, there is the following relationship between the diametral pitch and the modulus:

P=π/ρ=25.4/m where P is the diameter pitch (1/inch); ρ is the tooth pitch (inch); m is the modulus (mm).

(1) Industrial definition: The index circle of the gear is the basis for designing and calculating the size of each part of the gear, and the circumference of the gear index circle=πd=zp, so the diameter of the index circle d=zp/π.

（2）化学定义：摩尔数的比值。（例如：化学式为R2O·n SiO2，n为SiO2与R2O摩尔数的比值，