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Drawing No. EH–FM–028 // Fluid Mechanics & Piping

Vortex Shedding & Resonance Simulator

Reviewed August 2026

A steady flow past a circular cylinder can produce an unsteady sideways force as vortices leave alternately from each side. Tune the flow until the shedding frequency approaches a structural natural frequency, then compare the wake, lock-in band, amplitude trend and Strouhal–Reynolds behavior from one consistent model.

Educational model. The same live fluid properties, speed, diameter, natural frequency, mass per unit length and damping feed every tab. The fixed-cylinder shedding-frequency model is data-based; the lock-in window and response envelope are deliberately illustrative. The vortex street is schematic and the page is not CFD or a design-code VIV assessment.

01 // Interactive vortex-shedding lab

Change the flow and structural inputs, then compare every visualization against the same live model state.

2.5D Kármán vortex street
schematic wake + structural motion
DSTRUCTURAL NATURAL FREQUENCYfₙ = —VORTEX SHEDDING FREQUENCYfₛ = —WHAT TO WATCHfrequency matching can amplify responseactual lock-in width depends on the system

Parameters

12.0 m/s
1.00 m
2.40 Hz
600 kg/m
2.0%
All four tabs use these exact inputs and the same shedding-frequency function. Air and water properties are approximate 20 °C values. Above Re = 2×10⁵, St ≈ 0.20 is shown only as an indicative high-Re engineering estimate.

Live readout

02 // One model behind every tab

The street, lock-in map and charts now share the same fluid and structural state.

FLOW REGIME
Re = ρUD/μ

For a fixed circular cylinder, self-sustained Kármán shedding begins near Re ≈ 47. That threshold is not a universal lower limit for fluid–structure interaction: flexibly mounted cylinders can show subcritical VIV.

SHEDDING FREQUENCY
fₛ = St(Re) · U / D

The same calculated St and fₛ drive the vortex animation, the lock-in map, the operating-point marker and the frequency-matching gauge.

VIV RESPONSE TREND
Uᵣ = U/(fₙD)   ·   Sc = 4πmζ/(ρD²)

Reduced velocity organizes the response and mass–damping strongly affects its magnitude. The plotted response envelope is illustrative, not a universal amplitude correlation.

Data basis. Fixed-cylinder shedding onset near Re ≈ 47 and the low-Re Strouhal relation are supported by circular-cylinder experiments. For Re ≳ 2×10⁵, wake behavior becomes sensitive to transition, roughness and turbulence, so this page deliberately stops treating St as a validated correlation and shows only an indicative ≈0.20 estimate. Lock-in width and the response envelope are teaching aids, not code limits.
Consistency rule: every tab uses the same Re, St, fₛ, Uᵣ and standard Sc. When the operating point enters the page’s illustrative lock-in window, the map and 2.5D motion use the same response envelope. The displayed displacement is educational rather than a design prediction.

03 // Frequency-matching gauge

The compact gauge uses the same uncoupled Strouhal shedding frequency and structural natural frequency as the four tabs above.

04 // Background, assumptions & references

Open these notes when you want the engineering detail behind the animation.