Mechanisms — Kinematics

Recent Blogs

Straight-line Linkage diagram
Watt Straight-Line Linkage: Animation and Path Calculator | FIRGELLI
Explore a Watt four-bar, vary link lengths and input sweep, and compare approximate straight-line travel with the actual sampled lateral deviation.
Miscellaneous Motion diagram
Barrel Cam: Rise–Dwell–Return Timing
Explore barrel-cam rise, dwell and return phases. Check that angles fit one revolution and calculate mean follower speeds and dwell time.
Miscellaneous (form) diagram
External Geneva Drive: Index and Dwell
Explore an external Geneva drive and calculate index, engagement and dwell angles from slot count, plus the driver period from rotation speed.
Bennett's Linkage diagram
Bennett's Linkage Mechanism Explained: How It Works, Geometry, Formula, Uses & Animation
Explore Bennett’s spatial four-revolute linkage. Compare alternating lengths and twists, required-angle solutions and ideal closure, with mismatches shown as open chains.
Double Wishbone Suspension diagram
Double Wishbone Suspension Mechanism: How It Works, Parts, Geometry & Camber Gain Explained
Explore front-view double-wishbone geometry. Adjust arm reaches, upright spacing and lower-joint bump to calculate camber rate and wheel-centre movement.
Two-shaft Crank with Slot for Varying Velocity diagram
Two-shaft Slotted Crank: Ideal Offset and Speed Calculator
Explore a crank pin sliding in a radial follower slot. Calculate normalized shaft offset and ideal speed extrema from a selected fast-to-slow ratio and input...
Slotted Cross-head with Sliding Journal Box diagram
Slotted Cross-head with Sliding Journal Box: How It Works, Diagram, Parts, Formula and Uses Explained
Explore a slotted cross-head and sliding journal box with an animated calculator for stroke, position, velocity and acceleration.
Slotted Connecting Rod with Rest at End diagram
Slotted Connecting Rod with Rest at End: Mechanism, Diagram, Formula, and Uses Explained
Explore a crank pin moving through a slotted connecting rod. Compare selected slot travel, ideal slide stroke, rest share and rest time.
Drag-link Mechanism (d-class) diagram
Drag-link Mechanism (d-class): How It Works, Parts, Formula & Quick-Return Uses Explained
Explore a D-class drag-link four-bar: adjust the four link lengths to compare output speed, Grashof classification and equal-angle half-turn times.
Double-rack Crank Substitute diagram
Double-rack Crank Substitute Mechanism: How It Works, Parts, Formula, and Industrial Uses Explained
See a double rack shift around a fixed pinion while its output slides straight. Calculate stroke, transverse travel, speed and full cycle time including reversals.
Crank to Oscillating Rod Reciprocating diagram
Crank to Oscillating Rod Reciprocating Mechanism: How It Works, Diagram, Formula & Uses
Explore a crank-driven oscillating rod. Calculate output angular range, one-way tip arc, minimum transmission angle and full-turn closure from four link lengths.
Crank Substitute diagram
Crank Substitute Mechanism: How the Planetary Gear Slider-Crank Works, Parts & Uses
Explore an internal-gear crank substitute. Compare the straight-line 2:1 case with changed tooth counts or pin offset, and calculate first-turn spans and peak pin speed.
Worm-gear Jumping Motion with Tumbler diagram
Worm-gear Jumping Motion with Tumbler Explained: How It Works, Parts, Uses, and Step-Rate Formula
Explore worm-and-tumbler indexing. Compare step angle, steps per minute and ideal engagement time from your entered tooth count and cycle settings.
Rack-rod From Mutilated Spur-gear diagram
Rack-Rod from a Mutilated Spur Gear: Ideal Advance/Dwell Ledger
How a mutilated spur-gear drives a rack-rod for intermittent linear motion — geometry, formulas, worked example, and packaging-line applications.
Slotted Lever Motion diagram
Slotted Lever Motion Mechanism Explained: How It Works, Quick Return Geometry, Parts and Uses
Explore a crank and slotted lever, its tangent reversal positions, and the ideal work-to-return time ratio.
Irregular Rocking Motion diagram
Irregular Rocking Motion: Work and Return Allocation Calculator | FIRGELLI
Watch a crank pin drive a grooved rocking arm. Separately compare two entered angular allocations, their ratio and normalized shares.
Continuous to Alternating Crank Gears diagram
Continuous to Alternating Crank Gears: How the Mutilated Sector Gear Mechanism Works
Explore a partial bevel gear alternately driving opposed gears on a common shaft. Compare angular stroke, tooth-free gaps and reversal rate.
Combination Crank-motion Curves diagram
Combination Crank-motion Curves: Crank-Rocker Linkage and Interactive Pen Trace
Explore the curve drawn by a pen on a crank-rocker’s rigid connecting arm. Change link lengths, pen offset, starting angle and cycle time.
Wittgenstein's Rod diagram
Wittgenstein's Rod: Clearance and RSS Error-budget Calculator
Compare entered rod clearance, pin play and straightness with an assumed root-sum-square budget. The tool does not solve linkage motion or production tolerances.
Tusi Couple diagram
Tusi Couple: Two-to-one Geometry and Straight-line Stroke
Explore the ideal straight-line trace of a circle rolling inside a circle twice its diameter. Calculate stroke and amplitude for the exact two-to-one case.
Scott Russell Linkage diagram
Scott Russell Linkage Mechanism Explained: Diagram, Formula, Stroke and Uses
Scott Russell linkage explained — how this straight-line mechanism converts rotary motion into perfectly linear travel for test rigs, lifts, and lab equipment.
Roberts Linkage diagram
Roberts Linkage Mechanism: How It Works, Diagram, Formula, and Uses in Straight-Line Motion
Roberts Linkage explained — a four-bar straight-line mechanism used in robotics, prosthetics, and instrument design. Geometry, formulas, and a worked example.
Hoecken Linkage diagram
Hoecken Linkage: Link-Length Scaling and Model Limits | FIRGELLI
Explore approximate straight-line linkage geometry and calculate scaled link lengths. Velocity variation, usable stroke, full-cycle closure and payload are not verified by this tool.
Grashof Linkage diagram
Grashof Linkage: Four-Bar Assembly and Rotation Calculator | FIRGELLI
Check four link lengths for assembly and Grashof rotation. Compare sorted sums and margin, with a longest-ground four-bar animation and worked example.
Geometric Folding Algorithms diagram
Origami Vertex Angle Calculator: Kawasaki Condition | FIRGELLI
Check four sector angles at one origami vertex. See alternating angle sums, total angle and deviation from Kawasaki’s local flat-foldability condition.