What this exhibit represents: seismic and mechanical vibration isolation for precision gravity metrology. It does not block, cancel or shield gravity.
Textbook pendulum: f₀ = (1/2π)√(g/L), T₀ = 1/f₀. The small-angle approximation and g = 9.80665 m/s² are used.
Illustrative one-degree-of-freedom response: k = mg/L; c = 2ζ√(km); Ω = 2πf; H = √[(k² + (cΩ)²) / ((k − mΩ²)² + (cΩ)²)]. Isolation = −20log₁₀H dB.
Independent textbook check: H = √[(1 + (2ζr)²) / ((1 − r²)² + (2ζr)²)], r = f/f₀. Both computations are shown together below.
Mechanical dimensions, suspended masses, flexures, sensors and control motion are engineering-inspired and scaled/illustrative. Actual multi-stage isolation systems are coupled systems; their transfer functions require measured properties and validated dynamics. Animated motion is visually amplified and is not a validated scientific prediction.
Illustrative design, not affiliated with any real institution or manufacturer.