This is a selection support tool for a harmonic AC servo rotary actuator. HONPINE technology provides selection support based on the known operating conditions provided by the customer, using formula calculations.

Known operating conditions（The operating environment of harmonic AC servo motor）

Formula calculation（Selection calculation formula for harmonic AC servo motor）

Turntable 1 — Moment of Inertia Formula

For a rectangular body rotating about the z-axis through its centroid, the moment of inertia is:

Iz = (1/12) · m · (a² + b²)

Where:

• m = 60 kg (mass)

• a = 860 mm = 0.86 m (length)

• b = 850 mm = 0.85 m (width)

Calculation steps:

1) Compute a² + b²

  a² + b² = (0.86)² + (0.85)² = 0.7396 + 0.7225 = 1.4621 m²

2) Substitute into the formula

  Iz = (1/12) × 60 × 1.4621 = 5 × 1.4621 = 7.3105 kg·m²

3) Rounded result

  Iz ≈ 7.31 kg·m²

Turntable 2 — Moment of Inertia Formula

Iz = (1/12) · m · (a² + b²)

Where:

• m = 13 kg (mass)

• a = 1000 mm = 1.0 m (length)

• b = 700 mm = 0.7 m (width)

Calculation steps:

1) Compute a² + b²

  a² + b² = (1.0)² + (0.7)² = 1.0 + 0.49 = 1.49 m²

2) Substitute into the formula

  Iz = (1/12) × 13 × 1.49 = (13/12) × 1.49 ≈ 1.614 kg·m²

3) Rounded result

  Iz ≈ 1.61 kg·m²

Turntable 3 — Moment of Inertia Formula

Iz = (1/12) · m · (a² + b²)

Calculation steps:

1) Compute a² + b²

  a² + b² = (1.0)² + (0.7)² = 1.0 + 0.49 = 1.49 m²

2) Substitute into the formula

  Iz = (1/12) × 120 × 1.49 = 10 × 1.49 = 14.9 kg·m²

Final result:

  Iz = 14.9 kg·m²

Model Selection of harmonic ac servo motor