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軸承 L10 壽命計算器

根據 ISO 281 計算軸承基本額定壽命 L10。輸入動額定負荷 C、當量動負荷 P、軸承類型及轉速。

ISO 281:2007 滾珠與滾子 L10 / L10h
快速預設

結果

基本額定壽命 L₁₀ₕ
—
L₁₀ (百萬轉)
—
L₁₀ (年,24/7 運轉)
—
C/P 比值
—
壽命指數 p
—

基本額定壽命 (ISO 281)

以轉數表示的基本額定壽命:

以小時表示的基本額定壽命:

  • C — 來自軸承目錄的基本動額定負荷 (kN)
  • P — 當量動軸承負荷 (kN)
  • n — 轉速 (RPM)
  • p — 壽命指數: p = 3 適用於滾珠軸承, p = 10/3 適用於滾子軸承

選擇所需壽命

ISO 281 提供壽命評定計算,並非針對每種機器類型設定通用最低壽命。請根據機器規格與風險評估,結合實際工況週期、可靠度目標、維護策略及軸承製造商之應用指引,選擇所需壽命。

範圍: 基本壽命評定為常規條件下的統計疲勞評定。ISO 281 並未涵蓋所有使用壽命終結之成因;磨損、腐蝕與電蝕可能導致使用壽命提前終結。

實務範例

計算範例 — 目錄額定值與負荷

已知: C = 42.3 kN, P = 8.5 kN, 轉速 = 1500 RPM, 球軸承 (p = 3)

C/P = 42.3 / 8.5 = 4.976

L₁₀ = (4.976)³ × 10⁶ = 123.24 × 10⁶ = 123,244,000 轉

L₁₀ₕ = 123,244,000 / (60 × 1500) = 1,369 小時

ℹ️ 注意: 此計算器僅計算基本 L₁₀ 壽命。ISO 281 將修正壽命表示為 Lnm = a₁ × aISO × L₁₀,係數依據所需可靠度與運轉條件選取。

L10 life is the basic rating life defined by ISO 281 — the number of revolutions (or hours at a given speed) that 90% of a group of identical bearings will complete or exceed before the first evidence of fatigue damage appears. In other words, there is a 10% probability of failure before L10 is reached.

It is the industry-standard metric for comparing and selecting bearings.

L10 is the basic rating life based on C/P and the life exponent. ISO 281 expresses modified rating life as Lnm = a₁ × aISO × L₁₀.

The factors account for the selected reliability and operating conditions including lubrication, contamination and fatigue load limit. This calculator computes only basic L10 life.

The life exponent p reflects the contact geometry between rolling elements and raceways. Ball bearings have point contact (small elliptical contact area), giving p = 3. Roller bearings have line contact (rectangular contact area), giving p = 10/3 ≈ 3.333.

The higher exponent for rollers means their life is more sensitive to load changes — a small load increase causes a proportionally larger reduction in life compared to ball bearings.

Equivalent dynamic load reduces the actual load case or duty cycle to the load used by the rating-life equation. The applicable equation, factors and thresholds depend on bearing type, arrangement, load direction and manufacturer data.

Use the catalog method for the exact bearing and combine variable operating conditions correctly; P = X·Fr + Y·Fa is not a universal one-line rule for every bearing and load case.

There is no universal acceptable value. Derive the requirement from the machine specification and risk assessment, including duty cycle, reliability target, maintenance strategy and bearing manufacturer guidance.

Basic rating life is a statistical fatigue rating, not a guarantee of actual service life; wear, corrosion, electrical erosion and other mechanisms can end service life earlier.

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