What does gear modulus mean, and what does gear modulus mean

The gear modulus is defined as a basic parameter of modular gear teeth, which is artificially abstracted to measure the scale of gear teeth. is the ratio of the pitch p to , because is an irrational number, and the diameter of the index circle d=zp. When the number of teeth z is an integer, d is an infinitely cyclic decimal, and when d is an integer, z is an indefinite number.

To solve this problem, the ratio of p is artificially defined and determined. That is, the quotient of the modulus pitch p divided by . m=p in millimeters.

Because the above equation is an irrational number, it is inconvenient to locate the reference scale circle. For the sake of calculation, manufacturing, and testing, the ratio of p is artificially defined as some simple numerical value, and this ratio is called modulus, which is expressed in m, i.e., its unit is mmSo:

m is the basic parameter for determining the size of the gear. The larger the gear modulus with the same number of teeth, the larger its size. In order to facilitate manufacturing, inspection and interchangeable use, the modulus values of gears have been standardized.

The standard value of modulus is shown in GB1357-87. The first series is:,,1,,,2,,,3,4,5,6,8,10,12,The units of the second series are .

Upstairs talked about the modulus meaning and purpose of gears. I would like to talk about the origin of the modulus - why there is a modulus. We will express the diameter of the gear as a rational number, and the number of teeth can only be an integer, so the circumference of the garden is an irrational number, and the circumference is also an irrational number.

These irrational numbers are very inconvenient for us to use in practice. To solve this problem, we take the ratio of the two irrational numbers, the circumference and the circumference, as the rational number m, and call it a modulus. This brings great convenience to use.

For example, d=mz, the calculation is simple. If you think about it, if you don't have a modulus, it will be inconvenient.

Wheel modulus is defined as a basic parameter of modulus gear teethIt is artificially abstracted to measure the number of the scale of the wheel teeth, is the ratio of the tooth pitch p to , because it is an irrational number, the diameter of the indexing circle d=zp, when the number of teeth z is an integer, d is an infinite cyclic decimal, when d is an integer, z is an uncertain number, in order to solve this problem, the ratio of p is artificially stipulated, and it is specified as a definite number. The modulus is the quotient m p obtained by dividing the tooth pitch p by pi, and the unit is mm.

Since it is an irrational number in the above equation, it is not convenient to locate the indexing circle as a reference. In order to facilitate calculation, manufacturing and inspection, the ratio p is artificially defined as some simple values, and this ratio is called modulus, which is expressed in m, that is, its unit is mm. So I got to:

The modulus m is a basic parameter that determines the size of the gear. If the modulus of a gear with the same number of teeth is large, its size is also large. In order to facilitate manufacturing, inspection and interchangeable use, the modulus value of the gear has been standardized.

The standardized values of the module refer to GB1357-87. The first series has: ,,,1,,,2,,,3,4,5,6,8,10,12,16,20,25,32,40,50

Preference is given to the first series). The second series has ,,, 7, 9, 11, 14, 18, 22, 28, 36, 45Unit: mm.

Modulus is a very important concept in gear design. Since the shape of the gear is in the circumference, many dimensions are related to pi, which brings inconvenience to the calculation and use, so the definition modulus m = indexing circle diameter d number of teeth z = tooth pitch p pi . Other parameters of the gear can be calculated by the number of teeth and modulus according to the national standard.

<> in this definition, the modulus is a rational number, for general gears, for gears with different number of teeth, if the modulus is the same, the same tool can be used to process, which is very important and very convenient for industrial production.

There is a standard for modulus, and the standard in China is as follows:

In the actual gear design, there are more problems to consider, in addition to the number of teeth and modulus, there are also parameters such as the thickness and displacement of the gear, and there are more factors to consider for the non-cylindrical spur gear, but in any case, the module is still one of the most important parameters.

The gear module is a national standard (GB1357-78).

Module standard series (preferred) 1

Module and digital standard series (optional), 7, 9, 14, 18, 22, 28, 36, 45

Modular standard series (not used as much as possible),,11,30

Outside the above values are non-standard gears, do not use!

"sddjhh": Hello. The modulus is a basic parameter for the calculation of gear sizing, and the symbol is "m".

To put it in layman's terms. The modulus is like the number of clothes, the larger the modulus, the larger the size of each part of the gear, the greater the force that the teeth can bear. Specifically, the modulus is the arc length dimension of the distance between the two teeth (on the indexing circle), in millimeters, and the relationship between the modulus and the outer diameter of the gear is:

Outer diameter size = modulus (number of teeth + 2) There is a unified standard for modulus. In this way, the gears can be matched in various places. This issue is more professional, if necessary, you can continue to discuss, good luck, goodbye. ]

"Modulus" refers to the ratio of the pitch cluster between the tooth profile on the same side of the adjacent two teeth to the ratio of pi (m t) in millimeters. Modulus is one of the most basic parameters of modulus gear teeth. The larger the modulus, the higher and thicker the teeth, and if the number of teeth of the gear is constant, the radial size of the wheel will also be larger.

The first series of standards for mold infiltration is formulated according to the requirements of design, manufacturing and inspection.

Detailed answersThe gear modulus is defined as a basic parameter of the modulus gear teeth, which is artificially abstracted to measure the number of gear teeth, is the ratio of the tooth pitch p to , because it is an irrational number, the diameter of the indexing circle d=zp, when the number of teeth z is an integer, d is an infinite cyclic decimal, when d is an integer, z is an uncertain number, in order to solve this problem, the ratio of p is artificially stipulated, and it is specified as a definite number. The modulus is the quotient m p obtained by dividing the tooth pitch p by pi, and the unit is mm.