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Chebyshev Linkage

Sad Little Mechanical Engineering Lab

DOUBLE-ROCKER

CLASSIC CHEBYSHEV

Mechanism Type

Classic

2:5:5:4

Lambda

Extended point

Link Dimensions

Ground Link (a) 4.00

Left Rocker (b) 5.00

Coupler Link (c) 2.00

Right Rocker (d) 5.00

Animation Control

Speed 1.0x

Coupler Rotation 0°

Display Options

Show Full Trace (Biscotti)

Highlight Straight Section

Show True Reference Line

Show Joints & Labels

Show Grid

Show Dimensions

Show Rocker Arcs

θ₁ = 0.00°

θ₂ = 0.00°

Coupler = 0°

P(0.00, 0.00)

Current State

Coupler Rotation

0.00°

Left Rocker θ₁

0.00°

Right Rocker θ₂

0.00°

Coupler Point Y

0.00units

Straight Section Length

0.00units

Deviation from True Straight

Max: 0.000 Avg: 0.000

Link Proportions (Chebyshev)

c : b : d : a 2 : 5 : 5 : 4

Coupler / Ground 0.50

Rocker / Ground 1.25

Mechanism Type Double-Rocker

Grashof Condition Satisfied

Color Legend

Ground Link (Fixed Frame)

Left Rocker (Oscillates)

Coupler (Full Rotation)

Right Rocker (Oscillates)

Coupler Point Trace

Approximate Straight Section

Applications

🚂

Steam Locomotive Drives

🤖

Walking Robot Leg Mechanisms

🔧

Approximate Straight-line Guides

⚡

Theo Jansen Strandbeest

📐

Historical Drawing Instruments

About Chebyshev's Linkage: In this mechanism, the coupler makes a full 360° rotation while the two rockers oscillate back and forth. The coupler midpoint traces the characteristic "biscotti" shaped closed loop. The nearly straight portion at the bottom is what makes this linkage famous.