免费工程工具 — #011
校正质量分解
利用杠杆原理将单个校正质量块分成两个平衡平面，可以考虑不同的平面半径和重心偏移。
成果
静态分解（杠杆原理）
利用反杠杆原理，将重心处的总不平衡量分解为两个校正平面：
那么修正质量为：
ℹ️ 注意： 在静态分解中，两个平面都会在以下位置接受修正： 相同角度 作为总校正量。此方法仅处理静不平衡。力偶不平衡需在两个校正平面施加反向角度的校正量。当 R₁ ≠ R₂ 时，输入的校正质量按参考半径 R_ref = (R₁+R₂)/2 进行解释，且在分配至两个平面时，总不平衡量 U = m × R_ref 保持守恒。
实例
已知： 20g，90°，L₁ = L₂ = 150 mm，R₁ = R₂ = 200 mm
U_total = 20 × 200 = 4,000 g·mm（90°）
U₁ = 4,000 × 150 / (150+150) = 2,000 g·mm → m₁ = 2,000 / 200 = 10.0 克，90°
U₂ = 4,000 × 150 / (150+150) = 2,000 g·mm → m₂ = 2,000 / 200 = 10.0 克，90°
⚠️ 注意： 此计算器仅处理静态分解。如果转子还存在力偶不平衡，则应使用完整的双平面平衡程序。
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.
本页所述的操作流程由 Vibromera 团队使用 Balanset-1A（一款用于现场转子平衡的便携式双通道动平衡仪及振动分析仪）开发并经过实地测试。
双平面动平衡，具备自动质量分解功能。专业现场动平衡仪器，已在50多个国家使用。
Nikolai Shelkovenko
Nikolai Shelkovenko是一名振动分析工程师，也是Vibromera的创始人兼首席执行官。 15年多来，他一直在现场——而非在试验台上——为旋转设备进行平衡：粉碎机、工业风机、破碎机、离心机、轴和主轴。正是这些实际工作催生了Balanset系列仪器——它们被设计为一种专业人员可以随身携带到机器旁、在现场独立使用的工具，而非实验室设备。 Vibromera成立于2017年，自2023年起总部设于葡萄牙波尔图。Balanset系列产品的研发、组装与支持均在此完成。旗舰产品是Balanset-1A，一款用于单平面及双平面平衡和振动诊断的便携式分析仪。 Nikolai亲自参与客户支持工作，处理各种棘手的平衡案例，并参与软件开发。他以任何语言为全球客户提供服务。
