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動平衡平台設計計算器
為現場轉子動平衡設計動平衡平台（軟支撐）。計算所需的彈簧剛性、自然頻率、靜態撓度及傳遞率。
結果
平台自然頻率
平台質量-彈簧系統的自然頻率：
其中 m總 = m轉子 + mplatform 與 k總 為所有彈簧的組合剛性 (N/m)。
每根彈簧所需剛性
其中 n 為彈簧數量，而 f目標 = RPM/60 × 比率（例如 ×1/3）。
傳遞率
運轉速度下的無阻尼傳遞率：
為獲得良好的動平衡條件，T 應小於 15%。頻率比為 3 時，T ≈ 12.5%。
靜態撓度
實務範例
已知： m轉子 = 80 kg, mplatform = 15 kg, 1800 RPM, 4 個彈簧, 比率 1/3
m總 = 95 kg, fop = 30 Hz, f目標 = 10 Hz
k總 = 95 × (2π×10)² = 375,055 N/m = 375.1 N/mm
k每根彈簧 = 375.1 / 4 = 93.8 N/mm
δ靜態 = 95×9.81 / 375,055 × 1000 = 2.49 mm
T = 1/(3²−1) = 12.5%
⚠️ 注意： 確保所有彈簧剛性相等且負荷居中。撓度不均會導致傾斜，進而扭曲動平衡校正過程中的振動讀數。
A balancing platform (soft support) is a simple structure — typically a steel frame or plate — mounted on springs. It supports a rotor for field balancing by allowing free vibration response at operating speed. The platform's natural frequency is tuned well below operating speed (typically ≤ 1/3).
The natural frequency must be well below operating speed to ensure the system operates in the isolation region — above the resonance peak. At a frequency ratio of 3, transmissibility drops to about 12.5%, meaning the rotor vibrates freely and the balancing instrument can accurately detect unbalance.
Common configurations:
- 4 springs — most common, one at each corner
- 2 springs — small, lightweight rotors
- 3 springs — triangular platforms
- 6–8 springs — large, heavy rotors
All springs must have equal stiffness and the load must be centered.
Welded steel frame or plate (10–20 mm thick) is most common. Aluminum for smaller rotors. Platform mass is typically 10–25% of rotor mass. Ensure the platform is flat and all spring mounting points are at equal height.
Yes, but rubber mounts have higher damping (reducing measurement precision), and stiffness varies with temperature and load history. Coil springs are preferred for their consistent, well-defined stiffness and low damping. Dynamic rubber stiffness is typically 1.3–2× higher than static stiffness.
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。
專業現場動平衡儀器與軟體。設計您的動平衡平台，並使用我們的便攜式平衡儀驗證結果。已應用於 50 多個國家。
