Joint Structure and Movement
The interphalangeal articulations of the hand are represented as hinge joints connecting the phalanges of each digit. The interphalangeal joints connect the proximal, intermediate and distal phalanges and allow for 90 degrees of flexion and extension. Each interphalangeal joint must prevent hyperextension of the phalanges.
The metacarpophalangeal articulations (knuckle joints) connecting each proximal phalanx to the metacarpal should permit movement in two planes, allowing flexion, extension, adduction, abduction, and circumduction.
| Joint type |
Range of flexion/extension |
Range of adduction/abduction |
| Interphalangeal (IP) |
90 degrees |
None |
| Metacarpophalangeal (MCP) |
90 degrees |
30 degrees |
Finger Length Proportions
Two mathematical approaches provide natural-looking finger proportions:
Symmetric Approach
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Metacarpal Lengths (Symmetry): 80, 89, 95, 89, 80 mm for pinky through thumb
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This creates a symmetric, aesthetically pleasing hand shape with the middle finger longest
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Good for hands that need to look proportional and balanced
Fibonacci Sequence Approach
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Phalanx Ratios (Fibonacci): 1, 1, 2, 3, 5... for distal through metacarpal
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The Fibonacci sequence (each number is sum of previous two) creates natural proportions
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Key Benefit: Allows the hand to make a proper fist with fingers curling naturally
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Example: If distal phalanx = 20mm, then intermediate = 20mm, proximal = 40mm, metacarpal = 60mm
Dimensions of Phalangeal Digits
The following table provides reference dimensions for a medium-sized robotic hand (total length ~18cm):
| Bone/Segment |
Index finger |
Middle finger |
Ring finger |
Pinky |
Thumb |
| Distal phalanx |
18mm |
20mm |
18mm |
15mm |
22mm |
| Intermediate phalanx |
22mm |
25mm |
23mm |
18mm |
— |
| Proximal phalanx |
40mm |
45mm |
42mm |
33mm |
35mm |
| Metacarpal |
65mm |
70mm |
65mm |
55mm |
45mm |
| Total Length |
145mm |
160mm |
148mm |
121mm |
102mm |
Note: These dimensions are starting points. Adjust proportionally based on your robot's size and available materials. The thumb is notably shorter as it doesn't align with other fingers but opposes them.
Joint Construction Methods
Method 1: Flexible Material (Simplest)
- Materials: Silicone tubing, rubber, soft plastic, fabric
- Construction: Rigid phalanx segments connected by flexible joint material
- Actuation: Cable/string pulled through center bends finger
- Advantages: Simple, no separate hinge, compliant grip
- Disadvantages: Can't extend beyond neutral, wears over time
- Best For: Quick prototypes, underactuated hands
Method 2: Pin Hinge
- Materials: Small nails, wire, or M2 screws as hinge pins
- Construction: Drill perpendicular holes through adjacent phalanges, insert pin
- Actuation: Cable or linkage pulls segments to bend
- Advantages: Proper hinge motion, can extend to neutral
- Disadvantages: Requires precision drilling, can bind if misaligned
- Best For: Fully actuated fingers with extension control
Method 3: Living Hinge
- Materials: 3D-printed TPU or thin sections in rigid plastic
- Construction: Entire finger printed as one piece with thin joint sections
- Actuation: Cable through finger or external linkage
- Advantages: No assembly required, no wearing pins
- Disadvantages: Requires 3D printer, TPU can be tricky to print
- Best For: 3D-printed hands, integrated designs
Method 4: Elastomer Joints (Advanced)
- Materials: Silicone rubber, urethane casting resin
- Construction: Cast flexible joints with embedded rigid segments
- Actuation: Tendons routed through channels in elastomer
- Advantages: Compliant, natural movement, self-centering
- Disadvantages: Requires mold making, complex fabrication
- Best For: Professional-quality hands, research projects
Thumb Mechanism
The thumb is the most important digit for manipulation, providing opposition to create pinch and grip patterns.
Thumb Requirements
- Opposition: Ability to touch tips of other fingers (especially index)
- Rotation: 90° rotation at base to bring thumb perpendicular to palm
- Flexion: Two joints (IP and MCP) for grasping
- Strength: Higher force capability than other fingers
Simplified Thumb Design
- Base Joint: Single servo provides rotation and some flexion
- Tip Joint: Coupled to base or separately actuated for pinch control
- Mounting Angle: 45-60° from palm plane for natural opposition
- Range: Should reach from side of index finger to pinky