Independent complex-response check: — absolute difference —
The principal mechanism is a suspended mass supported by compliant elements with damping. Gravity provides the static load; restoring stiffness and dissipation govern the vibration response. The model uses a damped, single-degree-of-freedom textbook oscillator. Its full-scale structure, material palette, optical accessories, sensor locations and mechanism motions are engineering-inspired illustrations, not reproductions of a specific research facility.
Natural frequency: f₀ = (1 / 2π) √(k / m)
Frequency ratio: r = f / f₀
Steady-state base displacement transmission: T = √[1 + (2ζr)²] / √[(1 − r²)² + (2ζr)²]
Output displacement: xₒᵤₜ = T · xᵢₙ
Peak output acceleration: aₒᵤₜ = (2πf)² · xₒᵤₜ (metres)
Independent verification: |(k + i c ω) / (k − m ω² + i c ω)|, where c = 2ζ√(km)
What is genuine science: restoring force, resonance, mechanical transmissibility, force balance, passive damping, vibration metrology and optomechanical alignment. What is simplified: an ideal linear oscillator with constant damping, one lumped mass, stationary harmonic excitation, and no stage coupling. What is illustrative: all dimensions, numbers, labels, light beams, cable routes, stage motions and the arrangement of the hardware. No active feedback law or finite-element solution is calculated.
Every numeric input is illustrative. Equations are textbook relations. All displayed motion and optical trajectories are educational animations and are not validated scientific simulations.
Illustrative design, not affiliated with any real institution or manufacturer.