免費工程工具 #034
根據振動趨勢預估剩餘壽命
根據振動趨勢資料預估剩餘可用壽命 (RUL)。使用線性、指數或冪律成長模型預測達到警報與危險等級的時間。
結果
預測振動等級
⚠️ 信心備註： 此估算假設目前的成長模式持續不變。實際剩餘壽命取決於故障機制、運轉條件、負載變化及維護措施。僅供規劃參考，非保證。更多資料點與一致的測量條件可提高準確度。
線性成長模型
假設振動以恆定速率增加：
線性模型適用於漸進式磨損過程，例如因侵蝕或堆積導致的不平衡增長。
指數成長模型
假設振動成長率與目前等級成正比（損傷加速）：
指數模型最能代表軸承退化與疲勞裂紋擴展，其中損傷會引發更多損傷。
冪律模型
可表示次線性與超線性成長的通用模型：
冪律適用於混合退化模式。指數 p 決定成長行為：p<1 為減速，p=1 為線性，p>1 為加速。
應選擇哪種模型？
| 模型 | 最適用於 | 行為 |
|---|---|---|
| 線性 | 漸進式磨損、侵蝕、堆積 | 恆定變化率 |
| 指數 | 軸承損傷、裂紋擴展 | 加速 — 最保守 |
| 冪律 | 混合/未知機制 | 靈活 — 適應資料形狀 |
實務範例
已知： V_基準 = 2.5 mm/s，V_目前 = 4.2 mm/s，已經過 = 90 天，警報值 = 7.1 mm/s
指數模型：
k = ln(4.2 / 2.5) / 90 = ln(1.68) / 90 = 0.5188 / 90 = 0.00577 /day
到達警報的時間：t_警報 = ln(7.1 / 2.5) / 0.00577 = 1.0438 / 0.00577 = 自基準起算 181 天
剩餘 = 181 – 90 = 91 days 從現在起至警報等級
P-F 區間： 可偵測故障起始點 (P) 與功能失效點 (F) 之間的時間，決定了您能獲得多少預警時間。對於滾動軸承，P-F 間隔通常為 1–9 個月，具體取決於轉速、負載及潤滑條件。
Vibration trending provides a reasonable estimate when the fault mechanism produces a consistent growth pattern. Key factors for reliability:
- More data points over a longer period improve accuracy
- Consistent measurement conditions (same point, direction, load, speed)
- Understanding the failure mode helps select the right growth model
- Bearing degradation typically follows exponential growth
- Gradual wear (erosion, buildup) tends to follow linear growth
Treat estimates as planning guidance, not precise predictions. Always err on the side of caution.
Linear growth: Vibration increases at a constant rate (e.g., +0.5 mm/s per month). The time to reach any level is easy to predict. Common for gradual wear processes.
Exponential growth: The rate of increase accelerates over time. Early stages show slow change; later stages show rapid deterioration. Common for bearing damage and fatigue crack propagation.
Why it matters: Exponential growth is more dangerous because it can appear stable for a long time, then deteriorate rapidly. The "hockey stick" curve means the window between detectable change and failure can be short.
General guidelines based on ISO 20816 / ISO 10816 philosophy:
- Plan action when vibration reaches Zone B/C boundary (alarm level) or has increased 50% above baseline
- Schedule maintenance when trend projection shows alarm will be reached within the next planned shutdown window
- Urgent action when vibration reaches Zone C/D boundary (danger level) or has doubled from baseline
- Immediate shutdown when danger level is exceeded or sudden step change occurs
The key principle: schedule corrective action while you still have time to plan, source parts, and execute safely.
Factors that reduce prediction accuracy:
- Inconsistent measurement: Different probe positions, mounting methods, or sensor types
- Variable operating conditions: Load, speed, or temperature changes between measurements
- Step changes: Sudden events (impacts, process upsets) that shift the baseline
- Wrong growth model: Using linear when actual growth is exponential, or vice versa
- Insufficient data: Fewer than 3–4 data points makes trend fitting unreliable
- Multiple fault mechanisms: If more than one fault is developing, the combined trend may not follow a simple model
Recommended measurement intervals based on machine criticality:
- Critical machines: Continuous online monitoring (24/7)
- Important machines: Weekly to monthly route-based measurements
- General machines: Monthly to quarterly
When a trend is rising:
- Zone A→B transition: Increase to weekly
- Approaching alarm: Increase to daily or install temporary online monitoring
- Above alarm: Continuous monitoring until maintenance
The measurement interval must be shorter than the P-F interval (time from detectable fault to functional failure) divided by at least 3, to ensure you capture the trend and have time to act.
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。
具備趨勢分析與警報管理功能的專業振動監測。在故障發生前預測失效。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。
