1. Properties of systems with one degree of freedom (ddl)

The basic concepts of dynamic systems can be illustrated using the simple case of a viscous-damped mass-spring system. A conservative system is defined as an undamped system, and a dissipative system as one with damping.

Consider the one-ddl system defined in figure 1 .

Assuming that damping results in a force proportional to velocity, we obtain the differential equation of mass motion :

m \overset{··}{x} + b \overset{\cdot}{x} + k x = f (t)

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Properties of systems with one degree of freedom (ddl)

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Systems with N degrees of freedom

References

(1) - EWINS (D.) - Modal testing : theory and practice - . Éditions Wiley and Sons, 1984.
(2) - SWEVERS (J.), HEYLEN (W.) - Time domain identification methods for modal analysis (Stratégies d'identification des structures par l'essai de vibration) - ....