02 / THE SCIENCE
Suspension physics
Textbook small-angle physics and a simplified, illustrative base-excitation model. These are not validated site performance figures.
PENDULUM FREQUENCY TEXTBOOK—f₀ = √(g/L) / (2π)
PERIOD TEXTBOOK—T₀ = 2π √(L/g)
BASE TRANSMISSIBILITY ILLUSTRATIVE—√[(1+4ζ²r²) / ((1−r²)²+4ζ²r²)]
PAYLOAD DISPLACEMENT ILLUSTRATIVE—X = T × ground displacement
GROUND ACCELERATION TEXTBOOK—a = (2πf)² A
INDEPENDENT FREQUENCY CROSS-CHECK—Reciprocal of independently calculated T₀ versus f₀
Equations, assumptions and provenance
Ideal simple pendulum: f₀ = (1/2π)√(g/L). Damping and base transmissibility use a one-degree-of-freedom textbook oscillator with frequency ratio r = f/f₀. Real multi-stage isolation requires mode coupling, actual suspension geometry, thermal noise, sensor noise and experimentally measured frequency-response functions.
The gantry, service racks, suspension masses and optical readout pods are engineering-inspired reconstructions; positions and proportions are schematic. Sensing beams, visible motion and alignment cues are illustrative animations, not validated numerical simulation. The multi-stage geometry represents a conceptual device, while the readouts describe a separate simplified single-stage teaching model.
Illustrative design, not affiliated with any real institution or manufacturer.
03 / BUILD SEQUENCE
Guided assembly
Discover the installation in dependency order: reference floor, support gantry, suspension, intermediate stages, payload, metrology and utilities.