Electronic gear ratio calculation, gear ratio calculation formula

The formula for calculating the electronic gear ratio.

The gear ratio is calculated as i=z2 z1=n1 n2.

The gear ratio, known as the gear ratio in mechanical transmission, is expressed by i. i=z2 z1, z1 is the number of teeth of the active gear, and z2 is the number of teeth of the passive gear. If i>1, it is a deceleration; Conversely, i<1

It's the growth rate. That is, whether the speed of the passive gear is faster or slower than the active gear, it is called speed increase and deceleration respectively. Because in practical applications, most of them are decelerations.

Because the speed of the engine and the motor is very high, it is not suitable for the requirements of the dust brothers, and the speed must be reduced.

Definition of gear:

Gear modulus is defined as a basic parameter of modulus gear teeth, which is artificially abstracted to measure the scale of gear teeth. In gear design, the modulus is the decisive element that determines the size of the teeth. Different countries have different ways of defining modulus, the most typical of which are international standards (except for the British expatriate attack, the standards of other countries, including China, are in line with international standards) and imperial standards.

The electronic gear ratio is set according to the following method:

1. When the electronic gear ratio numerator is greater than the denominator, the maximum speed allowed by the system will decrease;

2. When the electronic gear ratio is not equal to the numerator and denominator, the positioning accuracy of the system may be reduced;

3. In order to ensure the positioning accuracy and speed index of the system, when supporting the digital servo with the function of electronic gear ratio, it is recommended to set the cavity of the electronic gear of the system to 1:1 to avoid the large disparity between the numerator and denominator of the electronic gear ratio of the system.

The maximum frequency of the pulse interface is 200kHz, corresponding to the maximum speed of 3000 revolutions per minute, so that the positioning module can play the highest speed of the servo.

Motor speed (3000rpm) 60 = pulse frequency (200000Hz) *numerator denominator) Servo resolution (131072).

The electronic gear molecule is about 4096 and the electronic gear denominator is 125

The result of this setup is 4000 pulses per revolution, and a frequency of 200kHz corresponds to a speed of 3000rpm.

One revolution of the lead screw is exactly 10,000 pulses. The resolution of the encoder is 2500 pulses per revolution. That's how it is calculated, 1 mm is equal to 1000 microns, and 10mm lead screw your system can be accurate to microns.

If the pulse is not doubling, then the electronic gear ratio pulse equivalent means that actually 1 command pulse goes in millimeters, and now, 2500 input pulses go 5 millimeters, that is, 1 input pulse goes in millimeters, and this number multiplied by the electronic gear ratio is equal to the pulse equivalent.

The gear speed ratio calculation method includes the definition calculation method, the gear train calculation method, the gear train calculation method, etc.

1. Define the calculation method.

Reduction ratio = input speed output speed, the ratio of the connected input speed to the output speed, if the input speed is 1500r per min and the output speed is 25r per min, then the hall scale reduction ratio is i = 60:1.

2. Calculation method of gear train.

Reduction ratio = number of driven gear teeth number of driving gear teeth (if it is a multi-stage gear reduction, then the number of driven gear teeth of all meshing pairs of gear sets The number of driving gear teeth, and then multiply the results obtained.

3. Gear train calculation method.

Reduction ratio = driven wheel diameter He Chun driving wheel diameter.

Reduction ratios must be common sense:

First of all, you determine the type of reducer you want, then determine the input power and the torque required for the output, and then calculate the speed ratio of the reducer according to the speed of the input shaft and the speed of the required output shaft. The working condition coefficient is determined according to the actual usage such as daily working time, shock load, switching frequency, etc.

The applicable power of the reducer model selection and precautions is usually the applicable power of the servo model on the market, the applicability of the reducer is very high, and the working coefficient can be maintained at the above, but the selection can also be decided according to their own needs. The output shaft diameter of the servo motor should not be greater than the maximum shaft diameter on **.

If the torque calculation work, the speed can meet the usual operation, but when the servo is fully output, when there is a deficiency, we can do the current limiting control on the drive on the motor side, or do torque protection on the mechanical shaft, which is very necessary. <>

Confirm which type of load structure belongs to confirm the number of pulses, reduction ratio, and command unit of the encoder, and use the formula to find the electronic gear ratio.

The electronic gear ratio is generally the use of the angle encoder or the indexing function of the rotary encoder assembled by the Tanyulu rotary shaft, and the counting function in the numerical control or driving device is used to rotate the two shafts in a certain proportion, which is the electronic gear ratio. The servo is amplified by the pulse frequency of the host computer, and the height is reduced. If the numerator is greater than the denominator, it is amplification, and vice versa.

The molecule is the feedback pulse of the motor encoder. The denominator is the command pulse of the host computer.

Setting of the electronic gear ratio:

When the electronic gear ratio numerator is greater than the denominator, the maximum speed allowed by the system will decrease.

When the electronic gear ratio numerator and denominator are not equal, the positioning accuracy of the system may decrease, in order to ensure the positioning accuracy and speed index of the system with the digital servo with the function of electronic gear ratio, it is recommended to set the electronic gear of the system to 1 to 1 to avoid the disparity between the numerator and the denominator of the electric gear ratio of the system. <>