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Numerical study of coupled oscillator system usingthe classical Euler-Lagrange equations

Shanak H., Khalilia H., Jarrar R., Asad J.

Mechanics and Mechanical Engineering

2021

Vol. 25, nr 1

1--5

Problems involving vibrations (mechanical orelectrical) can be reduced to problems of coupled oscil-lators. For this, we consider the motion of coupled oscilla-tors system using Lagrangian method. The Lagrangian ofthe system was initially constructed, and then the Euler-Lagrange equations (i.e., equations of motion of the system)have been obtained. The obtained equations of motion are ahomogenous second-order equation. These equations weresolved numerically using the ode45 code, which is basedon Runge-Kutta method.