免費工程工具 — #011
校正質量分解
利用槓桿原理將單一校正配重分割至兩個動平衡校正平面。考量不同平面半徑與重心偏移。
結果
靜態分解（槓桿原理）
位於重心的總不平衡量利用反槓桿原理分解至兩個校正平面：
則校正配重為：
ℹ️ 注意： 在靜態分解中，兩個平面皆在 相同角度 與總校正量相同。此僅處理靜態不平衡。力偶不平衡需於兩校正平面施加相反角度之校正。當 R₁ ≠ R₂ 時，輸入之校正配重將以參考半徑 R_ref = (R₁+R₂)/2 進行解讀，且在兩平面間分解時，總不平衡量 U = m × R_ref 將保持守恆。
實務範例
已知： 20g at 90°, L₁ = L₂ = 150 mm, R₁ = R₂ = 200 mm
U_total = 20 × 200 = 4,000 g·mm at 90°
U₁ = 4,000 × 150 / (150+150) = 2,000 g·mm → m₁ = 2,000 / 200 = 10.0 g at 90°
U₂ = 4,000 × 150 / (150+150) = 2,000 g·mm → m₂ = 2,000 / 200 = 10.0 g at 90°
⚠️ 注意： 此計算器僅處理靜態分解。若轉子同時存在力偶不平衡，請使用完整的雙平面動平衡校正程序。
Decomposition is needed when:
- You have a single-plane balancing result but the rotor has two correction planes
- The calculated total correction needs to be distributed physically
- You're converting a single-plane measurement to a two-plane correction
This is common for rotors where the unbalance is primarily static (disc-like rotors) but two planes are available for correction.
Static unbalance — a single unbalance vector that displaces the principal inertia axis parallel to the rotation axis. Both planes get corrections at the same angle.
Couple unbalance — two equal and opposite unbalance vectors that tilt the principal inertia axis. The planes get corrections at opposite angles (180° apart).
Most real rotors have a combination (dynamic unbalance) requiring full two-plane balancing.
The CG position determines the lever ratio:
- CG centered (L₁ = L₂): 50/50 split
- CG closer to Plane 1 (L₁ < L₂): Plane 1 gets less mass, Plane 2 gets more
- CG at Plane 1 (L₁ = 0): All correction goes to Plane 1
The formula: m₁ = m_total × L₂/(L₁+L₂) — the plane farther from CG gets more of the share.
Measure axially along the shaft from the center of gravity to each correction plane:
- Use rotor drawings for CG location, or find CG experimentally on knife edges
- Correction plane = the axial location where you attach weights
- L₁ = distance from CG to Plane 1
- L₂ = distance from CG to Plane 2
For symmetrical rotors, the CG is at the geometric center.
Guidelines:
- Single-plane: L/D ratio < 0.5, disc-like rotors, primarily static unbalance
- Two-plane: L/D ratio > 0.5, long rotors, significant couple unbalance
- Two-plane: When single-plane doesn't achieve the required quality
- Two-plane: Rotors near or above critical speed
When in doubt, two-plane balancing is always more thorough.
本頁所述的操作流程由 Vibromera 團隊使用 Balanset-1A（一款用於現場轉子平衡的便攜式雙通道動平衡儀及振動分析儀）開發並經過實地測試。
具備自動配重分解功能的雙平面動平衡校正。專業現場動平衡儀器，已應用於 50 多個國家。
Nikolai Shelkovenko
Nikolai Shelkovenko是一名振動分析工程師，也是Vibromera的創辦人兼執行長。 15年多來，他一直在現場——而非在試驗台上——為旋轉設備進行動平衡校正：粉碎機、工業風機、破碎機、離心機、軸與主軸。正是這些實際工作催生了Balanset系列儀器——它們被設計為一種專業人員可以隨身攜帶到機器旁、在現場獨立使用的工具，而非實驗室設備。 Vibromera成立於2017年，自2023年起總部設於葡萄牙波爾圖。Balanset系列產品的研發、組裝與支援均在此完成。旗艦產品是Balanset-1A，一款用於單平面及雙平面動平衡校正與振動診斷的可攜式分析儀。 Nikolai親自參與客戶支援工作，處理各種棘手的動平衡校正案例，並參與軟體開發。他以任何語言為全球客戶提供服務。
