Spring-Mass Synthesis Lab

Modal Synthesis Lab: a struck spring-mass as two damped oscillators

Each mode obeys q'' = −ω_p²q − 2σ_pq' + c_pF(t): a 224 Hz body mode and a 15.2 kHz stiff mode. The mallet is a raised cosine pulse of length T_c. Pick a time stepping method and a sample rate, then compare Strike (simulation) with Modal (exact recursion). More info: [the instrument]

body f₁ = 224 Hz sample rate: method: strike: listen: contact T_c = 0.20 ms

Waveform, first 25 ms

Gray: modal (exact recursion). Color: simulation. Scaled to the modal peak.

Spectrum

Gray lines: exact mode frequencies. Gray curve: modal. Color: simulation.