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link

A rigid body or segment that forms part of a robot’s structure. Links are the “bones” of the robot and don’t deform during operation.

The Basics

A link is a rigid structural segment of a robot—the solid "bones" that form the robot's skeleton. Links are connected by joints and transmit forces between them without bending or deforming.

Key Characteristics

Links are:

  1. Rigid - don't bend or flex during normal operation
  2. Solid structures - aluminum bars, steel frames, composite tubes
  3. Connected by joints - linked together at connection points
  4. Load-bearing - transmit weight, forces, and torques
  5. Passive components - provide structure (joints provide movement)
        Link 3
      ◯─────◯  (Joint)
      │ Link 2
      ◯─────◯  (Joint)
      │ Link 1
      ◯─────◯  (Joint/Base)
    ══════════
      Base

Anatomy of a Link

Each link typically has:

Component

Purpose

Main body

Structural core (bar, tube, or frame)

Attachment points

Where joints connect

Internal channels

Route cables, hydraulics, wires

Mounting surfaces

Secure motors, sensors, grippers

Real-World Examples

Typical robot arm links:

Link 1 (Shoulder): 
  - Heavy-duty aluminum tube
  - Connects base to elbow joint
  - Bears all downstream weight

Link 2 (Forearm):
  - Lighter composite material
  - Connects elbow to wrist
  - Transmits forces to end-effector

Link 3 (Wrist):
  - Compact, minimal mass
  - Connects to gripper/tool
  - Enables fine positioning

Link vs. Joint: The Difference

Link

Joint

Rigid body

Connection point

Doesn't move by itself

Causes movement

Transmits forces

Enables rotation/translation

"Bone"

"Hinge"

Example: arm segment

Example: elbow

Link 1 ←Joint→ Link 2 ←Joint→ Link 3
(moves together)    (rotates here)    (moves with Link 2)

Number of Links and DOF

Degrees of Freedom (DOF) = Number of joints (roughly)

3-link robot arm:
Link 1 ─ Joint 1 ─ Link 2 ─ Joint 2 ─ Link 3 ─ Joint 3 ─ Gripper
                                                    (3 DOF)

More links = more complex motion possible, but harder to control.

Link Design Considerations

Engineers choose link design based on:

Material selection:

  1. Aluminum - lightweight, good strength-to-weight ratio
  2. Steel - strong but heavier
  3. Carbon fiber - ultra-light, expensive
  4. Composite - optimized strength and weight

Length:

  1. Longer links = greater reach
  2. Shorter links = faster movement, less inertia
  3. Balance between functionality and performance

Cross-section shape:

  1. Hollow tube - lightweight, good rigidity
  2. Solid bar - simpler but heavier
  3. I-beam - strong in specific directions

Structural Requirements

Links must withstand:

Force Type

Impact

Tension

Pulling forces from joints

Compression

Weight and pushing loads

Bending

Moments from offset loads

Torsion

Twisting forces from rotation

Fatigue

Repeated stress cycles

Real Robot Example: Industrial Arm

Base (Link 0)
Shoulder Link (Link 1) - Heavy, 2kg aluminum
    ↓ Shoulder Joint
Upper Arm Link (Link 2) - Medium, 1.5kg aluminum
    ↓ Elbow Joint
Forearm Link (Link 3) - Light, 0.8kg composite
    ↓ Wrist Joint
Tool Plate (Link 4) - Tiny, 0.3kg steel
Gripper/Tool

Each link gets progressively lighter because less mass hangs below it.

Link Rigidity Trade-offs

Rigid links:

  1. ✓ Predictable motion
  2. ✓ Accurate positioning
  3. ✓ Precise control
  4. ✗ Heavier materials needed
  5. ✗ Higher cost

More flexible links:

  1. ✓ Lighter weight
  2. ✓ Lower cost
  3. ✗ Unpredictable deflection
  4. ✗ Difficult to control accurately

Most robots prioritize rigidity for precision.

Link Deformation (In Practice)

Though links are "rigid," in reality:

  1. Long links may sag slightly under weight
  2. High-speed movement may cause vibration
  3. Extreme forces can cause temporary deflection
  4. Engineers account for this in design

Solution: Over-design links with safety factor (1.5×–3×) to ensure true rigidity under all operating conditions.

Key Takeaway

Links are the structural skeleton of a robot—rigid segments that form the physical framework. Linked together by joints, they enable the robot to move and manipulate while maintaining the structural integrity needed for precise, repeatable control. Link design directly impacts robot speed, strength, precision, and cost.

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