免费工程工具
平衡平台设计计算器
设计用于现场转子平衡的平衡平台(软支撑)。计算所需的弹簧刚度、固有频率、静态挠度和传递率。
成果
平台自然频率
平台质量-弹簧系统的固有频率:
其中: m全部的 = m转子 + m平台 和 k全部的 是所有弹簧的综合刚度(N/m)。
每根弹簧所需的刚度
其中: n 是弹簧的数量和 f目标 = RPM/60 × 比率(例如 ×1/3)。
传递率
工作速度下的无阻尼传动率:
为了获得良好的平衡条件,T 应小于 15%。频率比为 3 时,T ≈ 12.5%。
静态挠度
实例
已知: m转子 = 80 kg,m平台 = 15 公斤,1800 转/分,4 个弹簧,传动比 1/3
m全部的 = 95 kg,fop = 30 Hz,f目标 = 10 赫兹
k全部的 = 95 × (2π×10)² = 375 055 N/m = 375.1 牛/毫米
k每根弹簧 = 375.1 / 4 = 93.8 牛/毫米
δ静态 = 95×9.81 / 375,055 × 1000 = 2.49毫米
T = 1/(3²-1) = 12.5%
⚠️ 注意: 确保所有弹簧的刚度相同,且负载居中。不均匀的挠度会导致倾斜,从而在平衡过程中扭曲振动读数。
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。
专业现场平衡仪器和软件。设计您的平衡平台,并使用我们的便携式平衡仪验证结果。产品已在全球50多个国家/地区使用。