免费工程工具 — #010
影响系数计算器
采用影响系数法进行单平面转子平衡。输入初始振动、试重数据,即可获得精确的修正质量和角度。
成果
振动矢量
振动可以用具有振幅和相位的复向量表示:
影响向量
试验砝码引起的振动变化:
修正重量
校正权重通过复数除法计算:
ℹ️ 注意: 负号确保校正砝码抵消不平衡。结果是一个矢量:长度表示重量(单位为克),方向表示角度位置。
实例
已知: V₀ = 5∠45°,试验 = 10g@0°,V₁ = 8∠120°
ΔV = V₁ − V₀ = (8∠120°) − (5∠45°) = 复数减法
W_c = −m_t × V₀ / ΔV → 校正幅值和角度
⚠️ 重要提示: 务必在添加校正配重之前先移除试配重。校正配重会替换试配重——切勿将两者同时留在转子上。
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。
专业现场动平衡仪,内置影响系数法。单平面和双平面动平衡可在数分钟内完成。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。