Average article processing time (30-45 days)
Less than 5 volumes 30 days
8 - 9 volumes 40 days
10 and more volumes 45 days
Reach us
+32 25889658
Abstract
Stability analysis of a system of coupled harmonic oscillators
S. O. Maliki and P. O. Nwoba
We present here a critical study of coupled harmonic oscillators. These are essentially two pendulums for which the oscillating masses are connected by a spring of stiffness k. We derive the equation of motion of the masses using the Euler-Lagrange equations. Exact analytical solutions of the equations are obtained using Laplace transforms enabling us to give a graphical profile as well as the phase portraits. Stability analysis of the nonlinear system is investigated by the direct method
