The basic principle of the worm gear

The basic principle of the worm gear

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The basic parameters of the worm gear are the modulus m, the pressure angle, the worm diameter coefficient q, the lead angle, the number of worm heads, the number of worm gear teeth, the height of the tooth tip (take 1) and the head clearance coefficient (take 0.2). Wherein, the modulus m and the pressure angle refer to the modulus and pressure angle of the worm shaft surface, that is, the modulus and pressure angle of the worm wheel end face, and are standard values; the worm diameter coefficient q is the worm index circle diameter and its modulus. The ratio of m.

Classification worm gears generally have these series:
1. WH series worm gear reducer: WHT/WHX/WHS/WHC
2. CW series worm gear reducer: CWU/CWS/CWO
3, WP series worm gear reducer: WPA / WPS / WPW / WPE / WPZ / WPD
The condition of the worm gear is correctly meshed. The condition of the worm gear is correctly meshed. The condition of the worm gear is correctly meshed. The condition of the worm gear is correctly meshed. 1. The modulus and pressure angle of the worm and the worm wheel in the intermediate plane are equal, that is, the end face modulus of the worm wheel is equal to the worm. The axial modulus is the standard value; the end pressure angle of the worm wheel should be equal to the axial pressure angle of the worm and is the standard value, ie ==m, == 2. When the stagger angle of the worm is worm, it must be guaranteed, and The worm wheel and worm spiral must be the same.
The calculation of geometrical dimensions is basically the same as that of cylindrical gears. Several problems to be aware of 1. The worm lead angle () is the angle between the tangent of the helix on the worm indexing cylinder and the end face of the worm, and the relationship with the SCREW helix angle is The spiral angle of the worm wheel is large, and the transmission efficiency is high. When the friction angle is smaller than the equivalent friction angle between the meshing teeth, the mechanism is self-locking. 2. The worm diameter coefficient q is introduced to limit the number of worm wheel hobs, so that the diameter of the worm index circle is standardized. When q is large, the stiffness and strength of the worm shaft are correspondingly increased; when necessary, q is small. The lead angle is increased and the transmission efficiency is increased accordingly. 3. The recommended number of worm heads is 1, 2, 4, 6. When taking small values, the transmission ratio is large and self-locking; when taking large values, the transmission efficiency is different from that of cylindrical gear transmission, worm and worm gear The mechanism transmission ratio is not equal to, but the center distance of the worm gear mechanism is not equal to, but. 4. The method for judging the worm gear steering in the worm and worm gear transmission can be determined according to the direction and direction of the meshing point K (parallel to the tangential line of the spiral) and the speed vector triangle should be drawn perpendicular to the worm wheel axis; the right-hand worm can also be used.

The left hand grip, the left-handed worm grips the right hand, and the four-finger thumb "is judged.
Characteristics of worm gear and worm mechanism
1. Can get a large gear ratio, compacter than the staggered helical gear mechanism
2. The two-wheel meshing tooth surface is in line contact, and its bearing capacity is much higher than the staggered shaft helical gear mechanism.
3. The worm drive is equivalent to a screw drive, which is a multi-tooth mesh drive, so the drive is stable and the noise is very small.
4. Has self-locking. When the lead angle of the worm is smaller than the equivalent friction angle between the meshing teeth, the mechanism has self-locking property, and the reverse self-locking can be realized, that is, the worm wheel can only be driven by the worm, and the worm can not be driven by the worm wheel. For example, in the self-locking worm mechanism used in its heavy machinery, the reverse self-locking property can serve as a safety protection.
5. The transmission efficiency is low and the wear is serious. When the worm gear is meshed and transmitted, the relative sliding speed between the meshing teeth is large, so the friction loss is large and the efficiency is low. On the other hand, the relative sliding speed is large, causing severe wear on the tooth surface and serious heat generation. In order to dissipate heat and reduce wear, materials with better anti-friction and anti-wear properties and good lubrication devices are often used, so the cost is high.
6. Large axial force of the worm The worm wheel and worm mechanism are often used in applications where the two axes are staggered, the transmission ratio is large, the transmission power is not large, or intermittent operation.

Author: http: //



Author: http: //



The basic parameters of the worm gear are the modulus m, the pressure angle, the worm diameter coefficient q, the lead angle, the number of worm heads, the number of worm gear teeth, the height of the tooth tip (take 1) and the head clearance coefficient (take 0.2). Wherein, the modulus m and the pressure angle refer to the modulus and pressure angle of the worm shaft surface, that is, the modulus and pressure angle of the worm wheel end face, and are standard values; the worm diameter coefficient q is the worm index circle diameter and its modulus. The ratio of m.

Classification worm gears generally have these series:
1. WH series worm gear reducer: WHT/WHX/WHS/WHC
2. CW series worm gear reducer: CWU/CWS/CWO
3, WP series worm gear reducer: WPA / WPS / WPW / WPE / WPZ / WPD
The condition of the worm gear is correctly meshed. The condition of the worm gear is correctly meshed. The condition of the worm gear is correctly meshed. The condition of the worm gear is correctly meshed. 1. The modulus and pressure angle of the worm and the worm wheel in the intermediate plane are equal, that is, the end face modulus of the worm wheel is equal to the worm. The axial modulus is the standard value; the end pressure angle of the worm wheel should be equal to the axial pressure angle of the worm and is the standard value, ie ==m, == 2. When the stagger angle of the worm is worm, it must be guaranteed, and The worm wheel and worm spiral must be the same.
The calculation of geometrical dimensions is basically the same as that of cylindrical gears. Several problems to be aware of 1. The worm lead angle () is the angle between the tangent of the helix on the worm indexing cylinder and the end face of the worm, and the relationship with the screw helix angle is The spiral angle of the worm wheel is large, and the transmission efficiency is high. When the friction angle is smaller than the equivalent friction angle between the meshing teeth, the mechanism is self-locking. 2. The worm diameter coefficient q is introduced to limit the number of worm wheel hobs, so that the diameter of the worm index circle is standardized. When q is large, the stiffness and strength of the worm shaft are correspondingly increased; when necessary, q is small. The lead angle is increased and the transmission efficiency is increased accordingly. 3. The recommended number of worm heads is 1, 2, 4, 6. When taking small values, the transmission ratio is large and self-locking; when taking large values, the transmission efficiency is different from that of cylindrical gear transmission, worm and worm gear The mechanism transmission ratio is not equal to, but the center distance of the worm gear mechanism is not equal to, but. 4. The method for judging the worm gear steering in the worm and worm gear transmission can be determined according to the direction and direction of the meshing point K (parallel to the tangential line of the spiral) and the speed vector triangle should be drawn perpendicular to the worm wheel axis; the right-hand worm can also be used.

The left hand grip, the left-handed worm grips the right hand, and the four-finger thumb "is judged.
Characteristics of worm gear and worm mechanism
1. Can get a large gear ratio, compacter than the staggered helical gear mechanism
2. The two-wheel meshing tooth surface is in line contact, and its bearing capacity is much higher than the staggered shaft helical gear mechanism.
3. The worm drive is equivalent to a screw drive, which is a multi-tooth mesh drive, so the drive is stable and the noise is very small.
4. Has self-locking. When the lead angle of the worm is smaller than the equivalent friction angle between the meshing teeth, the mechanism has self-locking property, and the reverse self-locking can be realized, that is, the worm wheel can only be driven by the worm, and the worm can not be driven by the worm wheel. For example, in the self-locking worm mechanism used in its heavy machinery, the reverse self-locking property can serve as a safety protection.
5. The transmission efficiency is low and the wear is serious. When the worm gear is meshed and transmitted, the relative sliding speed between the meshing teeth is large, so the friction loss is large and the efficiency is low. On the other hand, the relative sliding speed is large, causing severe wear on the tooth surface and serious heat generation. In order to dissipate heat and reduce wear, materials with better anti-friction and anti-wear properties and good lubrication devices are often used, so the cost is high.
6. Large axial force of the worm The worm wheel and worm mechanism are often used in applications where the two axes are staggered, the transmission ratio is large, the transmission power is not large, or intermittent operation.

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