2. Sizing of tuned dampers

Tuning a damper presupposes having identified a dangerous excitation whose pulsation ω is equal to a natural pulsation of the system without a damper. The torsional model used for the free vibration study comprises n disks numbered from 1 to n. Rigidities and moments of inertia have been reduced to the rotational speed of the shaft on which the damper has been placed. The Holzer sequence (modal deformation) associated with the eigenmode of pulsation ω is defined by the n relative amplitudes ϕ _i . In this case, we set ϕ ₁ = 1. If Ω represents the average rotational speed of the shaft line for which the preceding resonance phenomenon takes place, then :

It is then possible...