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免費工程工具 — #010

影響係數計算器

使用影響係數法進行單平面轉子動平衡校正。輸入初始振動、試重資料,即可獲得精確的校正配重與角度。

單平面 向量數學 校正配重



快速預設

結果

校正配重
—
校正角度
—
影響係數 |C|
—
影響向量 ΔV
—
預估殘餘不平衡
—

振動向量

振動以帶有振幅與相位的複數向量表示:

影響向量

試重所引起的振動變化:

校正配重

校正配重透過複數除法計算:

ℹ️ 注意: 負號確保校正配重與不平衡方向相反。結果為一向量:模長表示以克為單位的重量,幅角表示角度位置。

實務範例

範例 — 單平面動平衡校正

已知: V₀ = 5∠45°,試重 = 10g@0°,V₁ = 8∠120°

ΔV = V₁ − V₀ = (8∠120°) − (5∠45°) = 複數減法

W_c = −m_t × V₀ / ΔV → 校正的模長與角度

⚠️ 重要: 在加裝校正配重前,務必先移除試重。校正配重將取代試重 — 切勿將兩者同時留在轉子上。

An influence coefficient is a complex number that describes how a unit weight placed at a specific radius and angle affects the vibration of a rotor. It is the ratio of vibration change to the weight that caused it:

C = ΔV / W_trial

Once known, it can be used to calculate the exact correction weight needed to reduce vibration to zero (theoretically).

The process has three steps:

  • Run 1: Measure the initial vibration amplitude and phase (V₀)
  • Run 2: Attach a known trial weight, measure new vibration (V₁)
  • Calculate: ΔV = V₁ − V₀, then correction = −m_t × V₀ / ΔV

Remove the trial weight, place the correction weight at the calculated angle, and verify with a final run.

This is normal and not a problem. An increase means the trial weight happened to be placed near the heavy spot, adding to the unbalance. The vector calculation still produces the correct correction.

However, if vibration increases by more than 3–4×, use a smaller trial weight for safety, especially on equipment with limited bearing capacity.

Yes, this is standard practice. After placing the correction weight:

  • Measure the residual vibration
  • Use the same influence coefficient for a trim run
  • Calculate a small additional correction

Two to three iterations typically achieve the target balance quality. The influence coefficient remains valid as long as operating conditions don't change.

Key factors:

  • Speed stability — measurements must be at the same RPM
  • Phase reference — tachometer signal must be stable
  • Thermal state — let the machine warm up consistently
  • Trial weight size — should produce 20–50% vibration change
  • Sensor mounting — rigid, repeatable sensor position
  • Nonlinearity — very high vibration may introduce errors

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。

Vibromera — 便攜式動平衡校正與振動分析
內建影響係數法之專業現場動平衡儀器。數分鐘內完成單平面與雙平面動平衡校正。已應用於 50 多個國家。
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Nikolai Shelkovenko

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。

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Balanset-1A · €1975諮詢工程師