Calculation of motor reduction ratio and torque

Calculation of motor reduction ratio and torque
Shijiazhuang Jingjin Mechanical Equipment Installation Co., Ltd. --- Zhou Yanhui 13833456715
1、 Reduction ratio concept: namely, the transmission ratio of the reducer, which is a kind of transmission ratio. It refers to the ratio of the instantaneous input speed and output speed in the reducer, and is represented by the symbol "i". If the input speed is 1500r/min and the output speed is 25r/min, the reduction ratio is: i=60:1. Generally, the reduction ratio of the reducer is the actual reduction ratio. However, some special reducers, such as cycloidal reducer or harmonic reducer, sometimes use the rounding method and do not use the denominator. For example, the actual reduction ratio may be 28. 13, while 28 is generally marked.
2、 Calculation method of reduction ratio
1. Definition and calculation method: reduction ratio=input speed ÷ output speed.
2. General calculation method: reduction ratio=service torque ÷ 9550 ÷ motor power × Motor power input revolutions ÷ service factor
3. Calculation method of gear train: reduction ratio=number of driven gear teeth ÷ number of driving gear teeth (in case of multi-stage gear reduction, the number of driven gear teeth ÷ number of driving gear teeth of a pair of meshing gear sets can be multiplied.
4. Calculation method for reduction ratio of belt, chain and friction wheel: reduction ratio=driven wheel diameter ÷ driving wheel diameter
3、 The concept of motor torque: motor torque is the output torque of the motor, which is one of the basic parameters of the motor. The unit is N. M (N · m).
4、 The relationship between motor output torque and motor speed and power.
1. Formula: T=9550P/n This formula is commonly used in engineering: torque; Power; The calculation formula of the relationship among the three rotating speeds
Where: T - torque; 9550 -- constant (its source need not be investigated); P - motor power (KW); N -- Output speed (rpm)
Note: It should be noted that if the torque is calculated through the reducer, the factor of gear transmission efficiency loss should be considered.
2. Torque calculation formula of servo motor: T=F * R * reduction ratio. Example: Drive a 100kg object, R=50mm, and the reduction ratio is 1:50. Find the torque of the servo motor? Answer: 100x9.8 (gravitational acceleration) x0.05x0. 02=1。 98N。 M
5、 Torque calculation formula of reducer
1. Speed ratio=motor output revolutions ÷ reducer output revolutions ("speed ratio" is also called "transmission ratio")
2. Know the motor power, speed ratio and service factor, and calculate the reducer torque as follows:
Reducer torque=9550 × Motor power ÷ motor power input revolutions × speed ratio × Service factor
3. Know the torque, output revolutions and service factor of the reducer, and calculate the motor power required for the reducer as follows:
Motor power=torque ÷ 9550 × Motor power input revolutions ÷ speed ratio ÷ service factor