Interactive Cantilever Beam Hammer Test (Force → Acceleration)
This is a lightweight modal (Euler–Bernoulli) simulator for an impact hammer test.
You pick beam length and sensor/impact locations; it synthesizes a hammer force pulse, the acceleration response,
their FFTs, and the resulting accelerance FRF (Bode magnitude/phase). It uses a few bending modes with damping.
Inputs
Tip: editing either length box updates the other (1 in = 0.0254 m).
Switch to Linear to view magnitudes without log(dB) scaling.
Cross-section / material
When enabled: A = 0.511 in², I = 0.0442 in⁴ (converted to m²/m⁴). Otherwise solid bar: A = b·h, I = b·h³/12.
Fixed
Hammer
Accelerometer
Non-collocated points can create anti-resonance dips in the FRF.
Mode 1 (Hz)
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Mode 2 (Hz)
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EI (N·m²)
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μ = ρA (kg/m)
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Notes: This is an educational simulator. With "8020 1010 T-slot" enabled, A and I use the profile values above; otherwise solid bar is used. Real tests also include sensor/hammer dynamics, windowing, coherence, and fixture compliance.
Time domain
Force input & acceleration output
Frequency domain (FFT)
|F(f)| and |A(f)| (one-sided)
FRF Bode magnitude
|A/F| (accelerance)
FRF Bode phase
∠(A/F)
Tip: Set x_a and x_h far apart to see deeper anti-resonances (modal cancellation).
Collocated (same point) will look more like a drive-point FRF (peaks without deep dips).