பயன்பாட்டு அறிவியல் ஆராய்ச்சியில் முன்னேற்றங்கள் திறந்த அணுகல்

சுருக்கம்

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