2. Mechanical oscillator properties

Analysis of the mechanical oscillator is an essential step in the study of structural vibrations. On the one hand, it enables us to establish the first definitions and properties associated with the phenomenon of resonance. Secondly, the vibrations of a complex structure can be represented by a superposition – in infinite theory – of modes, each behaving like an oscillator. It is therefore essential to master the associated concepts.

The mechanical oscillator is a single-degree-of-freedom system classically made up of a mass $m$ connected to the fixed marker (or frame) by a stiffness spring $k$ and a viscous damper of constant $c$...