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Torque-Speed Trade-off: There is an inverse relationship between torque and rotational speed. A smaller gear driving a larger gear increases torque but reduces speed (torque multiplication), while a larger gear driving a smaller gear boosts speed but decreases torque (speed multiplication).
Gear Ratio (i): Defined as the ratio of the number of teeth on the driven gear (N₂) to the number of teeth on the driving gear (N₁), i = N₂/N₁. It directly determines the speed and torque conversion efficiency. For example, a gear ratio of 5:1 means the driven gear rotates 1 turn for every 5 turns of the driving gear, with torque increased by approximately 5 times (excluding friction losses).
Constant Velocity Ratio: In properly designed gears, the meshing of teeth ensures a constant angular velocity ratio, minimizing vibration and ensuring smooth power transmission.
Structure: Straight teeth parallel to the gear’s axis; simple design and easy manufacturing.
Features: Low cost, high efficiency (98-99% for precision gears), but generates axial thrust and noise at high speeds due to line contact between teeth.
Applications: General machinery (e.g., conveyors, pumps), household appliances, and low-speed industrial equipment.
Structure: Teeth are cut at an angle to the gear’s axis, forming a helical shape.
Features: Surface contact between teeth reduces noise and vibration, enabling higher speed operation; however, axial thrust is generated (often offset by using double-helical gears). Efficiency ranges from 97-99%.
Applications: Automotive transmissions, industrial gearboxes, and high-speed rotating machinery.
Structure: Conical shape with teeth cut on the conical surface, designed for intersecting shafts (typically at 90°).
Subtypes: Straight bevel gears (simple, low-speed) and spiral bevel gears (helical teeth, smooth transmission, high load capacity).
Applications: Differential gears in automobiles, marine propulsion systems, and machine tool spindles.
Structure: Consists of a worm (screw-like driving component) and a worm wheel (driven gear with curved teeth).
Features: High gear ratio (up to 100:1) in a compact design; self-locking capability (prevents reverse rotation when unpowered); lower efficiency (70-90%) due to sliding friction.
Applications: Elevators, conveyors, steering systems, and precision positioning mechanisms.
Rack and Pinion: Converts rotational motion to linear motion (e.g., car steering systems, linear actuators).
Planetary Gears: Compact, high torque capacity, and multiple speed ratios (e.g., automatic transmissions, robotics).
Hypoid Gears: Similar to bevel gears but with offset shafts, used in rear-wheel-drive automotive transmissions for smoother operation.
Alloy Steel: (e.g., 40Cr, 20CrMnTi) High strength, toughness, and wear resistance; suitable for high-load, high-speed gears (automotive, industrial gearboxes) after heat treatment.
Carbon Steel: (e.g., 45# steel) Low cost, moderate strength; used in low-load, low-speed applications.
Cast Iron: (e.g., gray iron) Good wear resistance and machinability; ideal for large, low-speed gears (e.g., industrial crushers).
Non-ferrous Metals: Aluminum alloy (lightweight, for precision instruments) and copper alloy (corrosion-resistant, for marine equipment).
Plastics/Nylon: Low noise, corrosion resistance, and self-lubrication; used in low-load, low-speed applications (e.g., household appliances, medical devices).