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Balancing Platform Design Calculator

Design a balancing platform (soft support) for field rotor balancing. Calculate the required spring stiffness, natural frequency, static deflection, and transmissibility.

Soft Support Design Transmissibility 2–8 Springs
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Results

Required Stiffness per Spring
Total Stiffness (k_total)
Platform Natural Frequency (f_n)
Static Deflection (δ_static)
Transmissibility
Frequency Ratio (f_op / f_n)
Total Mass

Platform Natural Frequency

The natural frequency of the platform mass-spring system:

Where mtotal = mrotor + mplatform and ktotal is the combined stiffness of all springs (N/m).

Required Stiffness per Spring

Where n is the number of springs and ftarget = RPM/60 × ratio (e.g. ×1/3).

Transmissibility

Undamped transmissibility at operating speed:

For good balancing conditions, T should be less than 15%. A frequency ratio of 3 gives T ≈ 12.5%.

Static Deflection

Practical Example

Example — 80 kg Rotor at 1800 RPM

Given: mrotor = 80 kg, mplatform = 15 kg, 1800 RPM, 4 springs, ratio 1/3

mtotal = 95 kg, fop = 30 Hz, ftarget = 10 Hz

ktotal = 95 × (2π×10)² = 375,055 N/m = 375.1 N/mm

kper spring = 375.1 / 4 = 93.8 N/mm

δstatic = 95×9.81 / 375,055 × 1000 = 2.49 mm

T = 1/(3²−1) = 12.5%

⚠️ Note: Ensure all springs have equal stiffness and the load is centered. Unequal deflection causes tilting, which distorts vibration readings during balancing.

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