Linear base-excited oscillator, textbook idealisation. For frequency ratio r = f/fₙ and damping ratio ζ, the motion transmissibility is:
T = √[(1+(2ζr)²) / ((1−r²)²+(2ζr)²)]
The platform's peak displacement is X = T·Y. Isolation in decibels is −20 log₁₀(T). For an illustrative 2,500 kg rigid payload, effective stiffness is k = m(2πfₙ)².
Independent check: compute |k + i cω| / |k − mω² + i cω|, with c = 2ζmωₙ. This uses the physical mass–spring–damper impedance, not the reduced ratio formula.
Genuine scientific features: vibration isolation, damping, flexures, sensor feedback, optical metrology and the governing linear equations. Engineering-inspired reconstruction: framing, bellows, payload table, supports and control electronics. Simplified educational representation: each frequency uses one rigid-body mode; multiple stages, cross-coupling, vertical and rotational dynamics are not solved. Speculative components: fictional cartridge layouts and indicator geometry.
All displayed design values are illustrative, not facility specifications. The moving floor/deck illustration is magnified and is not a validated mechanical or optical simulation.
Illustrative design, not affiliated with any real institution or manufacturer.