1. Reference problem

1.1. Geometry

We are interested in the \(m\) mass movement.

1.2. Material properties

Point mass:	\(m=1\mathrm{kg}\)
Elastic spring:	\(k\mathrm{=}{\pi }^{2}N\mathrm{/}m\)

Case 1: conservative system (without amortization)

Case 2: dissipative system \(c=\mathrm{0,2}\pi \mathrm{N.s}/m\)

1.3. Boundary conditions and loads

The problem is one-dimensional in the \(x\) direction, and in one degree of freedom: the movement of the \(m\) mass.

The mass is left free, without external excitement.

Initially it is out of balance: the spring is stretched with an elongation of 1 meter.