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Gears
Gears used to transmit motion and power between rotating shafts. Gears are essential components in various machines, mechanisms, and systems. They work by meshing teeth or cogs to transfer rotational energy from one shaft to another, changing the speed, torque, or direction of the motion in the process.
Types of Gears
There are several types of gears, including spur gears, helical gears, bevel gears, worm gears, and planetary gears. Each type has its own specific design and application.
Function
Gears work by meshing together, with the teeth of one gear fitting into the gaps between the teeth of another gear. As one gear rotates, it transfers motion and power to the other gear.
Mechanical Advantage
Gears can also provide mechanical advantage, increasing or decreasing the rotational speed or torque of a system. For example, a gear reduction system can increase torque output while decreasing rotational speed.
Gear Terminology
Understanding gear terminology is essential for effectively communicating about gears and their applications.
Pitch Diameter
The theoretical diameter of the gear where the tooth size is measured. It is the diameter of the pitch circle.
Pitch Circle
An imaginary circle that passes through the point where the teeth of mating gears mesh. The pitch circle diameter is directly related to the gear's size and tooth spacing.
Module
A measurement used in metric gear systems that represents the size of the gear teeth. It is the ratio of the pitch diameter to the number of teeth.
Diametral Pitch (DP)
A measurement used in imperial gear systems that represents the size of the gear teeth. It is the number of teeth per inch of the pitch diameter.
Pressure Angle
The angle formed between the line of action (the imaginary line along which the force between the meshing teeth acts) and the tangent to the pitch circle. Common pressure angles include 14.5°, 20°, and 25°.
Addendum
The radial distance from the pitch circle to the top of the gear tooth.
Dedendum
The radial distance from the pitch circle to the bottom of the gear tooth.
Clearance
The radial distance between the top of one gear tooth and the bottom of the mating gear tooth. It prevents interference between mating gears.
Backlash
The amount of clearance or play between mating gear teeth when they are not engaged. It is necessary to prevent binding and ensure smooth operation.
Helix Angle
The angle formed by the tooth helix and an element of the pitch cylinder or pitch cone. It is important in helical gears and affects tooth contact and load distribution.
Face Width
The width of the gear tooth measured parallel to the axis of rotation.
Center Distance
The distance between the centers of two mating gears, measured along the line of action.
Gear Ratio
Gear ratio is a term used in mechanics to describe the ratio of the number of teeth on one gear to the number of teeth on another gear in a mechanical system. Gears are toothed wheels that mesh with each other to transmit rotation and torque. By changing the sizes of the gears (i.e., the number of teeth), you can change the speed and torque of the system.
Spur Gear
Spur gears are a cylindrical shaped toothed component used in industrial equipment to transfer mechanical motion as well as control speed, power, and torque. These simple gears are cost-effective, durable, reliable and provide a positive, constant speed drive to facilitate daily industrial operations.
Internal Spur Gear
An internal spur gear is a type of gear with teeth cut into the inner surface of a cylindrical or conical shape. Unlike external spur gears, which have teeth on the outer circumference, internal spur gears have teeth cut on the inside diameter.
Torque
Torque measure of the rotational force applied to an object around an axis or pivot point. In simpler terms, torque is the tendency of a force to rotate an object about an axis.
Torque, denoted by the symbol τ (the Greek letter tau), is defined as the product of the force applied and the distance from the axis of rotation to the point where the force is applied. Mathematically, torque (τ) is given by τ = r × F, where r is the distance from the axis of rotation to the point of application of the force, and F is the magnitude of the force applied.
Torque in Gears
In a gear system, torque is inversely proportional to the gear ratio. This means that as the gear ratio increases (i.e., the output gear has more teeth than the input gear), the torque at the output decreases, and vice versa. The relationship between input torque
the torque at the output decreases, and vice versa. The relationship between input torque (Ti) and output torque (To) in a gear system is given by the formula:
To=Ti×G
Where:
Ti is the torque at the input shaft (driving gear).
To is the torque at the output shaft (driven gear).
G is the gear ratio.
Power and Torque Relation
The relationship between power (P), torque (T), and angular velocity (ω) is given by the formula:
Where:
P is power (in watts or horsepower)
T is torque (in Newton-meters or foot-pounds)
ω is angular velocity (in radians per second)
Basic Design Sketch
Why Internal Spur Gear ❓
The choice between internal and external spur gears depends on the specific requirements and constraints of the application, with factors such as space, protection, alignment, power transmission, aesthetics, and specialized needs influencing the decision-making process.
Calculations
Gear Generator
To calculate a spur gear, simply decide and input your tooth count, gear module, and pressure angle and the online spur gear DXF generator will do the rest. A spur gear calculator uses these parameters to generate the involute tooth form that's the right size and shape to take into your CAD software, or straight to a CNC router or laser cutter.
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