Análise da ressonância de oscilações mecânicas e eletromagnéticas a partir da transformada de fourier

Abstract

This work analyzed the phenomenon of resonance in mechanical and electromagnetic oscillations from the Fourier transform, with the aid of the Fortran language 90. The basic theoretical aspects of ordinary differential equations were discussed, mechanical and electromagnetic oscillations. Fourier transform and the fourth order Runge-Kutta ’s computational method. With the fourth order Runge-Kutta ’s method were obtained the graphs of the general solutions of the problems for the damping case subcritical (since it has the oscillatory characteristic and can interact with a force external), being clear that after the decay time (t τd) the solution prevails stationary of each oscillation. Furthermore, through the Fortran 90 language it was possible analyze the phenomenon of resonance, from the perspective of the Q merit factor. Applying the Fourier transform in the forced and damped oscillations, the solutions under the frequency domain, and already with the resonant frequency; and using the inverse Fourier transform was found the answers in the time domain, the obtained analytically.