Simulation 1 — Propagation of a Disturbance in a Chain of Coupled Oscillators

A chain of masses attached to vertical springs and coupled by elastic links. The blue curve shows the displacements, the red points represent the masses, the orange arrows show the resultant elastic forces, and the green arrows show the velocities.

Spring Forces Velocities Velocity Time

t = 0.00

Snapshots :

Disturbance Profile

Masses

Resultant Spring Force

Velocities

The simulated model is: m · l″_i = -r · l_i + e[(l_i-1 - l_i) + (l_i+1 - l_i)].
Initial conditions: a localized deformation centered on the middle mass, with zero initial velocities.