How to calculate the bearing capacity of planetary reducer gears?

The planetary reducer is an internal meshing drive.

It is generally believed that its pair of meshing tooth surfaces are convex tooth surface and concave tooth surface, the curvature center of the two is on the same side of the tooth surface, the concave direction of the tooth surface is the same, the curvature radius difference is very small, and the contact deformation causes the contact area to be large. Therefore, the tooth contact stress is greatly reduced, and the contact strength is increased accordingly.

At the same time, the bending stress can be reduced by reducing the tooth tip height, thereby increasing the bending strength. In addition, due to the small number of tooth differences, around the theoretical meshing point, there are many pairs of small gap tooth surfaces close to meshing, and the slight deformation caused by the force of the gear teeth makes these small gaps disappear, causing these pairs of tooth surfaces to contact each other, so that they also enter the meshing state: if this judgment is in line with the actual situation, then there will be multiple pairs of gear teeth meshing at the same time, which can obviously greatly reduce the transmission impact, make the operation more stable and less noisy.

In addition, when the modulus is the same, the transmission capacity should be significantly improved compared with the ordinary external meshing cylindrical gear reducer: this judgment has been confirmed by application examples in engineering practice.

1. Ratio of speed = motor output speed reducer output speed ("Gear ratio"Also called"Gear ratio")

2. Know the motor power and speed ratio and the use coefficient, and find the reducer torque according to the following formula: Reducer torque = 9550 motor power Motor power input speed ratio use coefficient.

3. Know the torque and the output speed of the reducer and the use coefficient, and find the following formula for the motor power required by the reducer: Motor power = torque 9550 Motor power input speed ratio use coefficient. (Zhaowei Electromechanical).

The calculation formula of planetary gear transmission ratio is: n1 + n2 = (1 + ) n3. Where:

n1: Sun rotation; N2: ring gear speed; n3：

planetary carrier speed; : Number of ring gear teeth Number of sun gear teeth. When the transmission is carried out, one element is fixed, one element is active, and one element is driven.

For example: fixed ring gear, sun gear active, planet carrier follower, the above formula becomes: n1 = (1 + ) n3, transmission ratio n1 n3 = 1+ >1, deceleration in the same direction.

Features and types of planetary gear drives:

Planetary gearing refers to a gearing in which the axis of one or more gears rotates around the fixed axis of another gear. The planetary wheel rotates both around its own axis and around a fixed axis with the planetary carrier.

The main characteristics of planetary gear transmission are small size, large bearing capacity and stable work; However, the structure of high-power and high-speed planetary gear transmission is more complex, requiring high manufacturing precision. There are some types of planetary gearing that are highly efficient, but the transmission ratio is not large. Other types of transmission ratios can be very large, but the efficiency is low, when they are used as reducers, their efficiency guessing decreases with the increase of transmission ratio; When used as a speed increaser, the shed cleaning may produce self-locking.

The types and properties of common planetary gears are shown in the attached table [Types and Properties of Common Planetary Gears]. The differential gear train can synthesize two given motions, or decompose a given motion into two basic motions according to the requirements. A car differential is an example of breaking down motion.

Planetary gear transmission has a wide range of applications and can be used in combination with continuously variable transmissions, fluid couplings and torque converters to further expand the range of use. <>

Transmission ratio = using torque 9550 motor power motor power input number of revolutions use factor.

Transmission ratio = the value of the speed of the driving wheel divided by the speed of the driven wheel = the reciprocal of the ratio of the diameter of their indexing circles. i.e.: i=n1 n2=d2 d1

Planetary gear ratio calculation steps:

1.Find the planetary wheel bracket;

2.The planetary gear mechanism is "converted" to a fixed-shaft gear train (imaginary planetary gear bracket does not move). In order to make a moving object relatively immobile, the hidden macro is to "add" a velocity of equal size, equal and opposite direction to the original system, so that the original moving object can be "immovable".

The significance of this step is: to indirectly solve the transmission ratio of the planetary gear train by using the method of solving the transmission ratio of the shaft gear train;

3.Calculate the "fixed shaft gear train" ratio.

Features of Gear Transmission:

1) High efficiency In the commonly used mechanical transmission, the efficiency of gear transmission is high, and the efficiency of closed transmission is 96% 99%, which has great economic significance for high-power transmission.

2) The structure is compact, and the space size required for belt and chain drive is smaller.

3) Stable transmission ratio: Stable transmission ratio is often the basic requirement for transmission performance. Gear transmission is widely used precisely because of its characteristics.

4) Reliable work, long life, correct and reasonable design and manufacturing, good use and maintenance of gear transmission, the work is very reliable, the life can be as long as one or two decades, which is also comparable to other mechanical transmissions. This is especially important for vehicles and machines working in mines. <>

Reduction ratio calculation lead royal formula:

Formula: i = n1 n2 (n is the gear speed).

1. Define the calculation method: reduction ratio = input speed output speed, the ratio of the connected input speed and output speed, such as the input speed is 1500r min and the output speed is 25r min, then the reduction ratio i is: i = 1500:

2. The calculation method of the gear train is sensitive: reduction ratio = the number of driven gear teeth and the number of driving gear teeth (if it is a multi-stage gear reduction, then the number of driven gear teeth and the number of driving gear teeth of all meshing pairs of gear sets, and then multiply the results obtained).

Specifically, as shown in the figure below, the bridge regrets where w is the angular velocity of the gear and z is the number of gear teeth.

There are different algorithms depending on the output mechanism.

Taking the common mechanism, the inner ring gear is fixed, and the force is in the center of the sun tooth, and the output of the planetary gear bracket is (the number of internal ring teeth and the number of sun teeth) +1, taking the common reducer of general servo motor as the reduction ratio of 1 10 as an example.

The number of teeth in the inner ring gear is usually 108 teeth, so the number of sun teeth is 108 (10-1) = 12 (teeth).

It can be known that the reduction ratio is 1 5, and the sun gear is 108 (5-1) = 27 (teeth), and we can know why this kind of mechanism, the reduction ratio of 1 10 does not get the best output torque, and this is the reason.

Common ways to calculate the speed ratio of planetary reducers:

1. Define the calculation method: reduction ratio = input speed output speed. (For example, if the input speed is 1450 and the output speed is 50, the resulting speed is 29.) The larger the speed ratio, the greater the output torque and the slower the output speed).

2. General calculation method: reduction ratio = use torque 9550 motor power motor power input speed use coefficient. (The rated power of the motor is p (kw), the speed is n1 (r min), the total transmission ratio of the reducer is i, and the transmission efficiency is u).

Gear reducer ratio: 5-1500;

Definition of reducer transmission ratio: The principle of reducer is generally used for transmission equipment with low speed and high torque, and the motor is used. The power of the internal combustion engine or other high-speed operation through the gear with a small number of teeth on the input shaft of the reducer meshes the large gear on the output shaft to achieve the purpose of deceleration, and the ordinary reducer will also have several pairs of gears with the same principle to achieve the ideal deceleration effect, the ratio of the number of teeth of the large and small gears is the transmission ratio also known as the reduction ratio (abbreviation"Gear ratio"）

Transmission ratio calculation formula:

Reducer transmission ratio = motor output speed reducer output speed ("Gear ratio"Also called"Reduction ratio", abbreviation"Gear ratio")

Transmission ratioIn a mechanical transmission system, the ratio of the angular velocity or rotation speed of the starting driving wheel to the end driven wheel.

Transmission ratio (i) = the ratio of the speed of the driving wheel (n1) to the speed of the driven wheel (n2) = the inverse ratio of the diameter of the gear indexing circle = the ratio of the number of teeth of the driven gear (z2) to the number of teeth of the driving gear (z1). i.e.: i=n1 n2=d2 d1 i=n1 n2=z2 z1

For multi-stage gearing 1: The transmission ratio between each two shafts is calculated according to the above formula.

2: The total transmission ratio from the first shaft to the nth axis is calculated according to the following formula: Total transmission ratio = (z2 z1) (z4 z3) (z6 z5) ......n1/n2）×（n3/n4）×(n5/n6)

The planetary gear reducer generally has a single-stage speed ratio, and the two-stage speed ratio is any combination of any two single-stage speed ratios. Guangzhou Bapman planetary reducer with low backlash, low noise and low temperature rise is a good choice.

It will be determined when it leaves the factory! If you forget, turn the shaft and see how many turns.