Machine Foundations - Theory & Concepts

Soil dynamics, natural frequency, and vibration isolation for equipment foundations.

Dynamic Spring Constant ($k_z$): 8.5 $\times 10^5$ kN/m

Total Weight (Machine + Block): 1200 kN

Machine Operating Speed ($N$): 450 RPM

Natural Frequency ($f_n$)

13.27 Hz

Operating Freq ($f_m$)

7.50 Hz

Frequency Ratio ($f_n / f_m$)

1.77

Safe (High-Tuned)

Target ratio: > 1.5 (High-tuned) or < 0.5 (Low-tuned). Values near 1.0 indicate severe resonance.

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