Mechanisms — Gears & Gearing

Recent Blogs

Pin-wheel and Slotted Pinion diagram
Pin Wheel and Slotted Pinion: Three Selectable Speed Changes
How a pin-wheel and slotted pinion converts continuous rotation into stepped indexing motion — design rules, formulas, and real-world examples from packaging and watchmaking.
Oblique-tooth Gears (form 2) diagram
Oblique-Tooth Gears Form 2: Brown Movement 41
Explore the double-oblique gear pair in Brown movement 41. Calculate ideal driven speed, reduction ratio and mesh-event rate from tooth counts and input speed.
Oblique-tooth Gears (form 1) diagram
Oblique-Tooth Gears Form 1: Brown Movement 40
Explore the single-oblique tooth pair in Brown movement 40. Calculate ideal driven speed, reduction ratio and mesh-event rate from tooth counts and input speed.
Oblique-shaft Gears (form 2) diagram
Oblique-Shaft Gears Form 2: Brown Movement 43
Explore the shallow bevel-like gear pair in Brown movement 43. Calculate ideal driven speed, tooth-count ratio and mesh-event rate.
Oblique-shaft Gears (form 1) diagram
Oblique-Shaft Gears Form 1: Brown Movement 42
Explore crossed cylindrical helical gears on oblique shafts. Calculate ideal driven speed, tooth-count ratio and mesh-event rate for Brown movement 42.
Multiple Gearing (triangular Wheel with Friction Rollers) diagram
Brown Movement 27: Three-Roller Carrier and Radial-Groove Wheel
Explore Brown movement 27: a triangular three-roller carrier and radial-groove wheel. Calculate roller pitch and radial-distance limits from center offset and orbit.
Multiple Speed Gear diagram
Multiple-Speed Gear Set: Three Selectable Fixed-Center Ratios
Compare three selectable spur-gear ratios at one shaft center distance. Calculate ideal output speed from tooth counts, input rpm and common module.
Motion by Rolling Contact diagram
Rolling Contact: Ideal No-Slip Cylinder Ratio and Travel
Calculate the ideal ratio, opposite follower rotation, surface travel and center distance of two externally tangent cylinders rolling without slip.
Link Chain Hoist diagram
Link Chain Hoist: Manual-Hoist Animation and Ideal Hand-Pull Calculator
Follow a manual chain hoist from hand chain to load hook. Calculate ideal hand pull from load mass and an entered mechanical advantage.
Irregular Vibratory Motion diagram
Irregular Vibratory Motion: Normalized Speed-Profile Calculator | FIRGELLI
Compare modulation depths implied by two peak-to-minimum speed ratios for a stated sinusoidal law. The plot does not calculate gears, machine vibration or screening performance.
Irregular Circular Motion — schematic of the mechanism.
Irregular Circular Motion: Eccentric Gear Train and Speed Calculator
Follow an eccentric circular gear and moving idler driving a fixed-axis output. Explore the speed variation of an illustrative gear-and-link arrangement.
Internal Worm-gear Wheel diagram
Internal Worm Wheel: Ratio and Assumed-Efficiency Calculator | FIRGELLI
Calculate an ideal worm-input reduction, wheel speed, torque and power loss using an entered efficiency. Physical contact and self-locking are not determined.
Intermittent Motion of Spur Gear diagram
Intermittent Spur Gear: Angular Closure Calculator | FIRGELLI
Compare toothed and locking angle shares and their signed difference from 360°. Tooth geometry, output travel and locking clearances are not calculated.
Intermittent Gears diagram
Intermittent Gears: Angular Segment Calculator | FIRGELLI
Compare toothed and locking angle shares and check whether they total 360°. Output travel, tooth geometry and working lock dimensions are not calculated.
Hypocyclic Gear Train diagram
Hypocyclic Gear Train: Fixed-Ring Count-Ratio Calculator | FIRGELLI
Compare ideal fixed-ring speed-ratio magnitudes and output rotation from ring and inner counts. Tooth profiles, output geometry and load capacity are not calculated.
Hunting Tooth Worm Gear diagram
Hunting Tooth Worm Gear: History and Pairing Calculator | FIRGELLI
Learn about Hiscox’s two-wheel hunting tooth arrangement and explore a separate modular pairing calculator for worm starts, wheel teeth and repeat intervals.
Friction-clutch Wheels diagram
Friction-clutch Wheels: Torque Threshold and Demand | FIRGELLI
Compare ideal wheel-contact torque with load demand using coefficient, normal force and radius. Understand margin, demand excess and the limits of slip modeling.
Friction Gearing (form) diagram
Friction Gearing: Driver Torque and Utilization | FIRGELLI
Compare a driver-shaft friction torque limit with demand using normal force, coefficient and driver radius. Keep driver and follower torque distinct.
Friction Disc and Roller diagram
Friction Disc and Roller: Speed and Disc Torque | FIRGELLI
Calculate ideal roller speed and disc-side torque from contact radius, roller radius, normal force and friction, with separate input/output torque meanings.
Friction Cone Variator — schematic of the mechanism.
Friction Cone Variator: Contact Radius and Roller Speed
See a rotating cone drive a movable friction roller. Compare output speed and contact surface speed from cone radius, roller radius and input RPM.
Flying Machine diagram
Flying Machine: Rotating-Arm Worm Drive Calculator | FIRGELLI
Explore a worm-driven rotating arm. Compare speed reduction and assumed torque multiplication while keeping backdrive behavior and actual load capacity separate.
Evans Friction Cones diagram
Evans Friction Cones: Ring-Belt Ratio Calculator | FIRGELLI
Move a leather ring between opposed friction cones and compare mean contact diameters and ideal speed ratio. Finite ring width introduces slip.
Equalizing Pulley diagram
Equalizing Pulley: Sheave Motion, Rope Tension and Calculator
Explore an equalizer sheave with two vertical rope legs. Compare ideal tension, sheave-to-rope ratio, groove clearance and a measured breakaway difference.
Epicyclic Train (slow-motion Form) diagram
Epicyclic Train (slow-motion Form) Mechanism Explained: How It Works, Diagram, Parts and Uses
Explore a two-ring compound epicyclic train. Compare signed output motion, reduction magnitude and module scaling needed for a common carrier radius.
Epicyclic Train (form 5) diagram
Epicyclic Train (form 5) Mechanism Explained: How It Works, Diagram, Formula & Calculator
Explore a carrier-driven planetary step-up with fixed ring and sun output. Compare speed multiplication and ideal torque fraction from ring and sun tooth counts.