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ACT-11 · ROTARY MOTION · KINEMATIC SIMULATOR

Harmonic Drive (Strain Wave Gearing)

Precision elastic strain gearing mechanism with multi-member fixed/driven modes, dynamic tooth mesh deformation, von Mises stress heatmap, and real-time torsional stiffness telemetry.

Dynamic Mechanical Physics Model
Input Shaft (WG)
+60.0 RPM
Output Shaft
-1.22 RPM
Gear Ratio
-49 : 1
Wave Generator (WG)
Flexspline (FS)
Circular Spline (CS)
High Tooth Engagement Zone
ROTARY STRAIN WAVE

Kinematic Controls

Input Speed (RPM) +60 RPM
Applied Torque Load (Nm) 25 Nm

Operational Mode

CS Fixed (Reducer)
FS Fixed (Direct)

Tooth Count & Reduction Ratio

98 / 100 (49:1)
158 / 160 (79:1)
198 / 200 (99:1)
238 / 240 (119:1)

Visual Overlays

Kinematic Formula

Speed Reduction Equation
$R = \frac{N_{FS}}{N_{FS} - N_{CS}} = \frac{98}{98 - 100} = \mathbf{-49 : 1}$
Note: Negative sign indicates counter-rotation relative to wave generator input.

How Strain Wave Gearing Works

  1. Wave Generator (Input): Elliptical cam surrounded by a flexible ball bearing rotates, continuously flexing the thin flexspline.
  2. Tooth Engagement: Deforms external flexspline teeth to engage fixed circular spline teeth along the major elliptical axis ($180^\circ$ apart).
  3. Tooth Disengagement: At the minor elliptical axis, teeth completely disengage, permitting smooth differential motion.
  4. Differential Tooth Count: Flexspline has 2 fewer teeth than Circular Spline ($\Delta N = -2$). Each WG turn rotates Flexspline backward by 2 teeth.

Engineering Specs

  • BacklashZero Backlash (< 1 arcmin)
  • Positioning Accuracy< 30 arcsec
  • Single Stage Ratio30:1 to 320:1
  • Torsional StiffnessHigh (~1.2 Nm/arcmin)
  • Efficiencyup to 85% at rated load