MICRO-VIBRATION • POWER SPECTRAL DENSITY • SYNCHROTRON MAGNETS

Synchrotron Magnet Micro-Vibration & Shock Calculator

Model dynamic vertical and lateral shock responses, resonant transmissibility, Power Spectral Density (PSD), and spring deflection for superconducting undulators, quadrupole triplets, and cryogenic beamline magnets during road transit.

01 Magnet Payload & Road Input Parameters

kg
Hz
mph
PREDICTED G-FORCE & PSD SPECTRAL DENSITY VIBRATION CRITERION MET
Peak Transmitted Vertical Shock 0.22 G 56.0% safety reserve margin (≤ 0.50 G limit)
Peak Spectral Density (PSD) 0.0042 g²/Hz at 1.8 Hz resonance peak
Dynamic Spring Stroke 16.4 mm 0.65 in travel (±50mm reserve)
Required Spring Rate / Mount 102 N/mm 582 lbs/in wire-rope coil
Laboratory VC Curve VC-E Compliant Micro-optical alignment safe
Transmissibility Q Factor: Q = 2.78 (Well-Damped)
Lateral G-Shock Estimate: 0.12 G (Turn radius ≥ 45m)
Magnetic Pole Yoke Strain: < 15 microstrain (Elastic Range)
MIL-STD-810H Method 514 • Particle Physics Criteria CALCULATED LIVE
01

Transmissibility & Q-Factor

At resonance (f = fn), isolation mounts amplify vibration by Q = 1 / (2ζ). Standard helical steel springs exhibit high Q (>10), causing destructive resonance over bridge joints. Stainless wire-rope isolators introduce internal wire friction (ζ ∼ 0.18), reducing Q to under 3.0.

02

Power Spectral Density (PSD)

Highway road profiles represent broad-band random vibration. PSD profiles (g²/Hz) quantify energy across frequency bands. Attenuating frequencies above 3 Hz prevents excitation of superconducting magnet coil windings and beamline vacuum bellows.

03

Pole Alignment Preservation

Synchrotron undulators require sub-micron magnetic field tolerances. Transmitted shocks exceeding 0.50G cause permanent mechanical displacement of magnetic poles, demanding weeks of re-mapping on laboratory magnetic measurement benches.

Need Advanced Micro-Vibration Modeling in Your TMS?

Exspeedite High-Science TMS simulates road roughness PSD profiles, tracks live tri-axial accelerometer telemetry, and alerts drivers before resonance thresholds are breached.

View SRF Cryomodule Manual