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Ang Tumpak na Balanseng Calculator para sa Spindle ng Makina

Kalkulahin ang pinapayagang spindle + toolholder unbalance, eccentricity (nm), centrifugal force, at equivalent tool deflection ayon sa ISO 21940.

ISO 21940-11 HSK / BT / CAT G0.4 – G2.5
Quick presets

Results

Pinapayaggang Imbalance
Eccentricity
Centrifugal Force
Equivalent Tool Deflection Estimate
Angular Velocity ω

Permissible Spindle Unbalance (ISO 21940)

  • G — balance quality grade (mm/s)
  • m — spindle + toolholder assembly mass (kg)
  • ω = 2π·n/60 — angular velocity (rad/s)

Eccentricity (Specific Unbalance)

Para sa mataas na bilis na spindles, ang eccentricity ay madalas na ipinapahayag sa nanometers (1 µm = 1000 nm).

Centrifugal Force & Tool Deflection

Ang centrifugal force mula sa unbalance ay kumilos sa spindle bearings, na nagdudulot ng deflection sa dulo ng tool. Ang estimate ng deflection ay gumagamit ng simplified spindle stiffness model (≈ 20 N/µm typical para sa HSK-63).

Mga Grade ng Balancing para sa Mga Machine Tool

GradeApplicationTypical Speed
G0.4Ultra-precision grinding, optical> 60,000 RPM
G1.0Grinding machines, high-speed milling15,000–40,000 RPM
G2.5General machining centers, lathes5,000–24,000 RPM

Praktikal na Halimbawa

Example — HSK-63 Toolholder at 24,000 RPM

Given: Mass = 2 kg, Speed = 24,000 RPM, Grade = G2.5

ω = 2π × 24000 / 60 = 2,513.3 rad/s

Uper = 2.5 × 2 × 1000 / 2513.3 = 1.99 g·mm

eper = 2.5 × 1000 / 2513.3 = 0.995 μm = 995 nm

F = 1.99 / 1e6 × 2513.3² = 12.6 N

⚠️ Note: Ang estimate ng tool deflection ay gumagamit ng simplified stiffness model. Ang aktwal na deflection ay depende sa bearing preload, spindle design, tool overhang, at clamping. Gamitin ito bilang rough guide lamang.

Vibromera — Portable Balancing & Vibration Analysis
Mga professional field balancing instrument para sa machine tool spindles at rotating assemblies. Makamit ang ISO 21940-11 compliance on-site.
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