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1. who are we?We are primarily based in ZheJiang , China, YHD DEG01 Large Top quality Affordable Single Diaphragm Coupling Wholesale Value Adaptable Shaft Couplings for CNC Device commence from 2013,offer to Southeast Asia(10.00%). There are complete about thirty folks in our place of work.2. how can we ensure good quality?Usually a pre-creation sample before mass productionAlways last Inspection prior to cargo.3.what can you buy from us?Gear models.4. why should you purchase from us not from other suppliers?We have a complete provider technique, we can supply you with drawings before sales, and offer you with installation instructionsafter income, so you can purchase with confidence.5. what services can we give?Approved Supply Conditions: FOB,CFR,CIF,EXW； CAT D5K XL Dozer Phase Sprocket Segemnt Group CR4410 CR4883 CR5513 3T9049 Acknowledged Payment Forex:USD,EURAccepted Payment Sort: T/T,L/C,Credit score Card,PayPal,Western Union,Cash,Escrow Excellent High quality Rubber Vehicle Components Injection Molding Equipment To Make Motorcycle Sprocket Hub Buffer Cushion
Advantages and disadvantages of worm gear reducer gearbox
If you are looking for a worm gear reducer gearbox, you have come to the right place. This article will cover the pros and cons of worm gear reducer gearboxes and discuss the different types available. You will learn about multi-head worm gear reducer gearboxes, hollow shaft worm gear reducer gearboxes as well as hypoid gear sets and motors.
Hollow shaft worm gear reducer gearbox
Hollow shaft worm gear reducer gearboxes are used to connect two or more rotating parts. They are available in single-axis and dual-axis versions and can be connected to various motor types. They can also have different ratios. The ratios of these gear reducer gearboxes depend on the quality of the bearings and assembly process. Hollow shaft worm gear reducer gearboxes are made of bronze worm gears and cast iron hubs. The gears are lubricated with synthetic oil. They are lightweight and durable. They can be installed in various engine housings. Additionally, these gear reducer gearboxes are available in a variety of sizes. The range includes 31.5, 40, 50, 63, and 75mm models. Other sizes are available upon request. In addition to worm gear reducer gearboxes, there are also helical gear reducer gearboxes. These reducer gearboxes can achieve very low output speeds. They are also suitable for all-around installations. In addition, the advantage of a multi-stage reducer gearbox is that it is more efficient than a single-stage gear reducer gearbox. They also feature low noise, low vibration, and low energy consumption. Hollow shaft worm gear reducer gearboxes are generally less expensive and last longer. They are also a suitable replacement for solid shaft gearboxes for machines that require high torque without compromising strength. Typical gear arrangements include worm, spur, helical and bevel gears. Gear ratio is the ratio of input torque to output torque.
Multi-head worm gear reducer gearbox
The multi-head worm gear reducer gearbox is used to reduce the speed of the machine. It uses friction to hold the worm in place while transmitting power. These gears can also be called ground worms and hardened worm gears. They are useful in conveying systems and most engineering applications. Multiple worm reducer gearboxes have a large number of gear ratios. These gear designs have a central cross-section that forms the front and rear boundaries of the worm gear. This design is a better choice than other worm gears because it is less prone to wear and can be used with a variety of motors and other electronics. Adjustable multi-head worm gear reducer gearbox to reduce axial play. Usually, the backlash on the left and right sides of the worm is the same. However, if you need less backlash, you can buy a double lead worm gear. This design is ideal for precision applications requiring small clearances. The lead of the opposing teeth of the double worm gear is different from the right side, so the backlash can be adjusted without adjusting the center distance between the worm gears. Worm gear reducer gearboxes are available from a variety of manufacturers. Many gear manufacturers stock these gears. Since the gear ratios are standardized, there is no need to adjust the height, diameter, or length of the shaft. Worm gears have fewer moving parts, which means they require less maintenance.
Hypoid Gear Set
Worm gears are the most common type of gear. While these gears are great for high-to-low ratios, hypoid gear sets are much more efficient in all ratios. This difference is due to higher torque density, better geometry and materials, and the way hypoid gears transmit force differently than worm gears. Hypoid gear sets have curved helical teeth. This results in smooth gear meshing and little noise. This is because the hypoid gears start to slowly contact each other, but the contact progresses smoothly from tooth to tooth. This reduces friction and wears, thereby increasing the efficiency of the machine. The main advantages of hypoid gears over worm gears are higher torque capacity and lower noise levels. Although their upfront cost may be higher, hypoid gears are more efficient than worm gears. They are able to handle higher initial inertia loads and can deliver more torque with a smaller motor. This saves money in the long run. Another advantage of hypoid gears is the lower operating temperature. They also do not require oil lubrication or ventilation holes, reducing maintenance requirements. The hypoid gear set is maintenance-free, and the grease on the hypoid gear set lasts for decades.
Hypoid gear motor
A hypoid gear motor is a good choice for a worm gear reducer gearbox as it allows for a smaller motor and more efficient energy transfer. In fact, a 1 hp motor driving a hypoid reducer gearbox can provide the same output as a 1/2 hp motor driving a worm reducer gearbox. A study by Agknx compared two gear reduction methods and determined that a hypoid gear motor produces more torque and power than a worm reducer gearbox when using a fixed reduction ratio of 60:1. The study also showed that the 1/2 HP hypoid gear motor is more energy efficient and reduces electricity bills. Worm reducer gearboxes run hotter than hypoid gears, and the added heat can shorten their lifespan. This can cause components to wear out faster, and the motor may require more frequent oil changes. In addition, hypoid gear motors are more expensive to manufacture. Compared to worm gears, hypoid gears offer higher efficiency and lower operating noise. However, they require additional processing techniques. They are made of bronze, a softer metal capable of absorbing heavy shock loads. Worm drives require work hardening and are less durable. Operating noise is reduced by up to 30%, and hypoid gears are less prone to breakage than bevel gears. Hypoid gear motors are prized for their efficiency and are used in applications requiring lower torque. A unique hypoid tooth profile reduces friction. In addition, hypoid gear motors are ideal for applications where space is limited. These geared motors are often used with pulleys and levers.
R series worm gear reducer gearbox
R series worm gear reducer gearboxes have a variety of characteristics that make them ideal for different applications. Its high rigidity cast iron housing and rigid side gears are designed for smooth drive and low noise. It also features high load capacity and long service life. Additionally, it can be assembled into many different configurations as required. High efficiency, large output torque and good use efficiency. It comes in four basic models ranging from 0.12KW to 200KW. It can be matched with right angle bevel gearbox to provide large speed ratio and high torque. This combination is also suitable for low output and high torque.
AGKNX Electric Worm Gear reducer gearbox
AGKNX Electric worm gear reducer gearboxes are available with NEMA C-face mounting flanges for a variety of motors. These reducer gearboxes feature double lip oil seals, an aluminum alloy housing, and two bearings on the input and output shafts. These reducer gearboxes are rust-proof and have epoxy paint on the inside. They are available in a variety of ratios, from 7.5:1 to 100:1. Worm reducer gearboxes are one of the most cost-effective and compact gears. These reducer gearboxes increase output torque while reducing input speed. AGKNX Electric’s worm gear reducer gearboxes are pre-installed with Mobil SHC634 Synthetic Gear Oil. These reducer gearboxes have an internal oil gallery guide to protect the shaft. They also have a one-piece cast iron housing. AGKNX Electric Corporation is the leading independent distributor of electric motors in the United States. They have eight strategically located warehouses, enabling them to ship most orders on the same day. They offer motors of various sizes up to 20,000 hp. They also offer a variety of motor controls and variable speed drives.
Chinese electric motor speed reducer is widely used in mining machinery, chemical industry,steel metallurgy, light
industry,environmental protection, paper making, printing, lifting transport, food industry and so on.
Main Series Product: R series helical gear motor reducer, K series spiral bevel gear reducer, NGW, P series planetary gear reducer, H B series helical gearbox, Z (ZDY, ZLY, ZSY, and ZFY) serial hard tooth surface cylindrical gearbox reducer, D (DBY and DCY) serial hard tooth surface cone gear reducer, cycloidal speed reducer, etc. Meanwhile, map sample processing business can be undertaken.
Realized parallel shaft,right-angle shaft modes and horizontal,vertical mounting modes. Using less component parts.
Applying advanced grinding process which improved the stability and the efficiency of transmit power with lower noise.
Ratio range:1.23~450. It will be higher when combining with K&R series reducer
Input Speed r/min
Input Speed r/min
Input Speed r/min
Model selection for washing machine Gear Box Transmission: Closely using the ideal reduction ratio. Reduction ratio = servo motor speed / reducer output shaft speed Torque calculation: Torque calculation is very important for the life of reducer, and pay attention to whether the maximum torque value (TP) of acceleration exceeds the maximum load torque of the reducer. The applicable power is usually the applicable power of the servo models on the market, the applicability of the reducer is very high, the working coefficient can be maintained above 1.2, but the choice can also be based on their own needs to decide. industrial helical gearbox. H PV series High quality Right Angle Unique speed reducer HB helical gearbox / gear box.
Chinese Speed Reducer/industrial helical gearbox is a mechanical transmission in many fields of the national economy. The product categories covered by the industry include all kinds of gear reducer, planetary gear reducer and worm reducer, as well as various special transmission devices such as speed increasing device, speed control Devices, including various types of flexible transmission devices, such as compound transmission. Products and services in the field of metallurgy, nonferrous metals, coal, building materials, ships, water conservancy, electricity, construction machinery and petrochemical industries.
In all fields of national economy and national defense industry, gearbox products have a wide range of applications. Food light industry, electric machinery, construction machinery, metallurgy machinery, cement machinery, environmental protection machinery, electronic appliances, road construction machinery, water conservancy machinery, chemical machinery, mining machinery, conveyor machinery, building materials machinery, rubber machinery, petroleum machinery and other industries have strong demand of Reducer products.
Concrete mixer, breaker, rotary kilns, tube mills, separators, roll crushers
Established in 1995 , HangZhou Boji Machinery is a professional manufacturer and exporter that is concerned with the design, development and production of Gearbox Speed Reducer. We are located in HangZhou of ZheJiang Province, with convenient transportation access. With our own brand “TianQi”, all of our products comply with international quality standards and are greatly appreciated in a variety of different markets throughout the world. Our company possesses complete machining center, lathe, gear shaping machine, gear milling machine, gear grinding machine and assembling lines. Our well-equipped facilities and excellent quality control throughout all stages of production enables us to guarantee total customer satisfaction. Besides, In 2005,we attained ISO9001 certification. As a result of our high quality products and outstanding customer service, we have gained a global sales network CZPT South America, Saudi Arabia, Vietnam, Pakistan, Philippines, South Africa and other countries and regions. With rich export experience, high quality products, competitive prices, good service and in-time delivery, we certain that we can meet all of your requirement and exceed your expectations. Our feature is bright with new cooperative relationships with companies from all over the world. We look CZPT to speaking with you to future discuss how we can be of service to you.
1. Who are we? We are the Factory, with over 25 years of production experience, based in ZheJiang , China, start from 1995,sell to Domestic Market(50.00%),Mid East(10.00%),Southeast Asia(10.00%),Western Europe(5.00%),South America(5.00%),Eastern Europe(5.00%),Eastern Asia(5.00%),North America(3.00%),Africa(2.00%),Southern Europe(2.00%),South Asia(2.00%),Central America(1.00%).
2. Can you customize according to our requirements? Yes, we can design nonstandard products according to customer’s drawing and sample.
3.What can you buy from us? speed reducer,gearbox,gear motor,pump,crusher
4. Why should you buy from us not from other suppliers? Founded in 1995, with over 20 years of production experience and credibility. With professional engineer team, advanced technology production and skilled workers.Specialized in the production of reducer. Map sample processing business can be undertaken.
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A worm gear reducer gearbox is a mechanical device that uses a worm gear and a worm to reduce the speed of a rotating shaft. The gear reducer gearbox can increase the output torque of the engine according to the gear ratio. This type of gear reducer gearbox is characterized by its flexibility and compact size. It also increases the strength and efficiency of the drive.
Hollow shaft worm gear reducer gearbox
The hollow shaft worm gear reducer gearbox is an additional output shaft connecting various motors and other gearboxes. They can be installed horizontally or vertically. Depending on size and scale, they can be used with gearboxes from 4GN to 5GX. Worm gear reducer gearboxes are usually used in combination with helical gear reducer gearboxes. The latter is mounted on the input side of the worm gear reducer gearbox and is a great way to reduce the speed of high output motors. The gear reducer gearbox has high efficiency, low speed operation, low noise, low vibration and low energy consumption. Worm gear reducer gearboxes are made of hard steel or non-ferrous metals, increasing their efficiency. However, gears are not indestructible, and failure to keep running can cause the gear oil to rust or emulsify. This is due to moisture condensation that occurs during the operation and shutdown of the reducer gearbox. The assembly process and quality of the bearing are important factors to prevent condensation. Hollow shaft worm gear reducer gearboxes can be used in a variety of applications. They are commonly used in machine tools, variable speed drives and automotive applications. However, they are not suitable for continuous operation. If you plan to use a hollow shaft worm gear reducer gearbox, be sure to choose the correct one according to your requirements.
Double throat worm gear
Worm gear reducer gearboxes use a worm gear as the input gear. An electric motor or sprocket drives the worm, which is supported by anti-friction roller bearings. Worm gears are prone to wear due to the high friction in the gear teeth. This leads to corrosion of the confinement surfaces of the gears. The pitch diameter and working depth of the worm gear are important. The pitch circle diameter is the diameter of the imaginary circle in which the worm and the gear mesh. Working depth is the maximum amount of worm thread that extends into the backlash. Throat diameter is the diameter of the circle at the lowest point of the worm gear face. When the friction angle between the worm and the gear exceeds the lead angle of the worm, the worm gear is self-locking. This feature is useful for lifting equipment, but may be detrimental to systems that require reverse sensitivity. In these systems, the self-locking ability of the gears is a key limitation. The double throat worm gear provides the tightest connection between the worm and the gear. The worm gear must be installed correctly to ensure maximum efficiency. One way to install the worm gear assembly is through a keyway. The keyway prevents the shaft from rotating, which is critical for transmitting torque. Then attach the gear to the hub using the set screw. The axial and circumferential pitch of the worm gear should match the pitch diameter of the larger gear. Single-throat worm gears are single-threaded, and double-throat worm gears are double-throat. A single thread design advances one tooth, while a double thread design advances two teeth. The number of threads should match the number of mating gears.
One of the most prominent features of a worm reducer gearbox is its self-locking function, which prevents the input and output shafts from being interchanged. The self-locking function is ideal for industrial applications where large gear reduction ratios are required without enlarging the gear box. The self-locking function of a worm reducer gearbox can be achieved by choosing the right type of worm gear. However, it should be noted that this feature is not available in all types of worm gear reducer gearboxes. Worm gears are self-locking only when a specific speed ratio is reached. When the speed ratio is too small, the self-locking function will not work effectively. Self-locking status of a worm reducer gearbox is determined by the lead, pressure, and coefficient of friction. In the early twentieth century, cars had a tendency to pull the steering toward the side with a flat tire. A worm drive reduced this tendency by reducing frictional forces and transmitting steering force to the wheel, which aids in steering and reduces wear and tear. A self-locking worm reducer gearbox is a simple-machine with low mechanical efficiency. It is self-locking when the work at one end is greater than the work at the other. If the mechanical efficiency of a worm reducer gearbox is less than 50%, the friction will result in losses. In addition, the self-locking function is not applicable when the drive is reversed. This characteristic makes self-locking worm gears ideal for hoisting and lowering applications. Another feature of a worm reducer gearbox is its ability to reduce axially. Worm gears can be double-lead or single-lead, and it is possible to adjust their backlash to compensate for tooth wear.
Heat generated by worm gears
Worm gears generate considerable amounts of heat. It is essential to reduce this heat to improve the performance of the gears. This heat can be mitigated by designing the worms with smoother surfaces. In general, the speed at which worm gears mesh should be in the range of 20 to 24 rms. There are many approaches for calculating worm gear efficiency. However, no other approach uses an automatic approach to building the thermal network. The other methods either abstractly investigate the gearbox as an isothermal system or build the TNM statically. This paper describes a new method for automatically calculating heat balance and efficiency for worm gears. Heat generated by worm gears is a significant source of power loss. Worm gears are typically characterized by high sliding speeds in their tooth contacts, which causes high frictional heat and increased thermal stresses. As a result, accurate calculations are necessary to ensure optimal operation. In order to determine the efficiency of a gearbox system, manufacturers often use the simulation program WTplus to calculate heat loss and efficiency. The heat balance calculation is achieved by adding the no-load and load-dependent power losses of the gearbox. Worm gears require a special type of lubricant. A synthetic oil that is non-magnetic and has a low friction coefficient is used. However, the oil is only one of the options for lubricating worm gears. In order to extend the life of worm gears, you should also consider adding a natural additive to the lubricant. Worm gears can have a very high reduction ratio. They can achieve massive reductions with little effort, compared to conventional gearsets which require multiple reductions. Worm gears also have fewer moving parts and places for failure than conventional gears. One disadvantage of worm gears is that they are not reversible, which limits their efficiency.
Size of worm gear reducer gearbox
Worm gear reducer gearboxes can be used to decrease the speed of a rotating shaft. They are usually designed with two shafts at right angles. The worm wheel acts as both the pinion and rack. The central cross section forms the boundary between the advancing and receding sides of the worm gear. The output gear of a worm gear reducer gearbox has a small diameter compared to the input gear. This allows for low-speed operation while producing a high-torque output. This makes worm gear reducer gearboxes great for space-saving applications. They also have low initial costs. Worm gear reducer gearboxes are one of the most popular types of speed reducer gearboxes. They can be small and powerful and are often used in power transmission systems. These units can be used in elevators, conveyor belts, security gates, and medical equipment. Worm gearing is often found in small and large sized machines. Worm gears can also be adjusted. A dual-lead worm gear has a different lead on the left and right tooth surfaces. This allows for axial movement of the worm and can also be adjusted to reduce backlash. A backlash adjustment may be necessary as the worm wears down. In some cases, this backlash can be adjusted by adjusting the center distance between the worm gear. The size of worm gear reducer gearbox depends on its function. For example, if the worm gear is used to reduce the speed of an automobile, it should be a model that can be installed in a small car.
The worm gear reducer gearbox is used to change the output speed of the mechanical device. It consists of worm and helical gears mounted on the input side of the equipment. In some cases, this gear reduction system can be multi-stage, enabling extremely low output speeds. It has the advantages of low energy consumption and low vibration. Hollow shaft worm gear reducer gearbox
Worm gear reducer gearbox is an effective device to reduce the speed of mechanical equipment. The use of hard steel or non-ferrous metals for the worm increases its efficiency. Worms made of hard steel generate more heat than worms made of mild steel. Different thermal expansion results in gaps between mating surfaces. Despite its many benefits, worm gear reducer gearboxes are prone to oil leakage, which can be a problem for a number of reasons. Hollow shaft worm gear reducer gearboxes are available in different gear ratios and are compatible with many motor types. Some are available in dual-axis and single-axis configurations and can be mounted horizontally or vertically. They are also available in intermediate ratios, as well as four- and five-speed transmission types. They can also be connected with additional output shafts. Another type of worm gear reducer gearbox is the multi-stage variety. This gear reducer gearbox has multiple stages, enabling it to reduce speed with extremely low output speeds. In addition to the large transmission ratio, the multi-stage gear reducer gearbox has low noise, low vibration and low energy consumption. Worm gear reducer gearboxes offer space-saving solutions as well as increased torque. Agknx Gearbox offers worm gear reducer gearboxes that solve common deceleration problems. The company has also expanded its product range into the bathroom market. Compared with the standard gearbox, the worm gear reducer gearbox has the characteristics of lower price and better torque output. Agknx worm gear
The Agknx type worm gear reducer gearbox has multi-tooth line contact and is widely used in heavy machinery. These gears are characterized by a high load-carrying capacity, but they are highly sensitive to misalignment and manufacturing errors. However, by employing point contact, these gears can be made more reliable and can withstand higher loads. Another major advantage of the Agknx worm gear is its high load capacity. The tooth profile design of the gears has a high relative slip ratio, which improves efficiency and load capacity. In addition, the large angle between the sliding direction and the contact line provides a low coefficient of friction. The Agknx worm gear also features premium carburized steel and phosphor bronze castings for exceptional durability. In addition, the tooth profile is very precise, the operation is quiet, and the speed fluctuation is small. Agknx worm gear reducer gearboxes are designed to operate for up to ten hours per day with an even load. The design of this worm gear reducer gearbox stems from Sumitomo Heavy Industries’ extensive experience in gear reducer gearboxes. The smooth surface texture and precise tooth profile of the gears ensure that the gears can withstand high loads without damaging the lubricant film. In addition, Agknx worm shafts are specially designed to have the right stiffness. Agknx worm gear reducer gearboxes are designed to maximize load capacity while minimizing energy consumption. Its fully meshed teeth reduce surface pressure on the worm gear teeth and increase load capacity. Double throat worm gear
There are a few things to consider when choosing a dual-throat worm gear. First, the diameter of the root circle must match the circle pitch of the larger gear. This measurement is usually done by measuring the distance between adjacent teeth. Alternatively, the worm’s normal module can be used. It is the value entered in the worm module dialog. In addition, the axial pitch of the worm should be equal to the pitch diameter of the circular pitch. Double-throat worm gears are an excellent choice for heavy and heavy-duty applications. The design of this worm gear is ideal for heavy-duty applications as it provides a tighter connection between the worm and the gear. It is also more compact than other types of gear and is comparable to a fine-pitch lead screw. The efficiency of a double-throat worm gear depends on the material of the gear and worm. Typically, gears are made of case-hardened steel, while worm gears are made of bronze or cast iron. In some cases, a combination of cast iron and bronze can be used. The deflection of the worm shaft is also affected by the tooth parameters. Tooth height, pressure angle, and size factors all affect the deflection of the worm shaft. In addition, the number of worm threads is another important parameter that affects the deflection of the worm shaft. Double-throat worm gears are commonly used in industrial applications where high drive reduction is required. The worm has a concave and internal tooth structure that can be adjusted to achieve various ratios. Worm gears and worm gear assemblies must be properly mounted on their shafts to prevent back drive. Brass worm gear
The basic working principle of the brass worm gear reducer gearbox is the same as that of the traditional worm gear reducer gearbox. Its axial pitch must be equal to the circumferential pitch of the larger gear. The single-thread design advances one tooth per revolution, while the double-thread design advances two teeth. The threads on the worm are either left-handed or right-handed. The lead of a worm is the distance a point on the thread of the worm moves in one revolution. The lead angle is the angle tangent to the pitch of the cylinder and the axis of the worm. Double-thread worm gear reducer gearboxes are best for heavy loads. It provides the tightest connection between the worm and the gear. Assembly of the worm gear requires precise mounting. The keyway installation method involves drilling a square cut in the gear hole. This prevents the worm from rotating on the shaft and helps transmit torque. Then use the set screw to secure the gear to the hub. The large fuel tank helps keep the worm gear clean and reduces heat. It also provides lubrication for extended life. Worm gear reducer gearboxes with oil reservoirs provide a lubricated environment and low-friction surfaces. Additionally, it offers multi-position installation flexibility. Additionally, its housing is cross-milled for precise alignment. It also features internal baffles for leak-free ventilation. I260 series worm gear reducer gearboxes are one-piece iron casings with solid or hollow output shafts and tapered roller bearings. This gear reducer gearbox is designed for low to medium-horsepower applications. This gear reducer gearbox is a cost-effective option with low initial cost, the high gear ratio, and high torque in a compact package. Also, it is more shock resistant than other gear reducer gearboxes. Brass worm gear
Brass worm gear reducer gearbox is a reduction gear. This type of gear can provide a lot of reduction in a small package. This type of gear reducer gearbox also has the ability to generate high torque. However, it is important to understand that this gear reducer gearbox has thermal limitations, which reduce its efficiency. The choice of lubricant for this gear reducer gearbox is very flexible. However, being a yellow metal, it is important to remember that the lubricant must be non-reactive. Worm gears are used in many consumer and industrial applications and have high reduction ratios. These gears are produced in various configurations and sizes. Worm gears are similar to spur gears but have non-parallel shafts. Worm gears are also suitable for applications requiring low output speed but high torque. Worm gears have some distinct advantages over other gears. First, unlike standard gears, the worm rotates in a worm-like motion. This mechanism prevents reverse movement. This is because the lead angle of the worm gear is small. Additionally, the worms self-lock, helping to prevent reversal. However, this mechanism is not entirely reliable. Worm gears can be found in elevators, fishing reels, sprockets, and automotive power steering. Another advantage of worm gears is that they are easy to manufacture. The rationale behind this design is to have two mutually perpendicular axes. Then, two or more threads are added to the worm gear. The common tangent between these two shafts intersects the pitch line of the worm gear shaft. This is the basis of transfer speed.