# Forced harmonic vibration # Scope: Harmonic force on damped SDOF system; steady-state displacement amplitude. # Status: illustrative worked example; engineering review pending. # Inputs are example values. Checks are editable example requirements, not standards. force = 1 N stiffness = 1000 N/m ratio = 0.8 damping = 0.1 amplitude := force/stiffness/sqrt((1-ratio^2)^2+(2*damping*ratio)^2) [mm] check amplitude budget: amplitude <= 3 mm scenario alternative: force = 0.8 N