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Modelling of an Electrodynamic Loudspeaker with Runge-Kutta ODE Solver

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In this paper the modelling of low frequency electrodynamic loudspeaker is presented as one degree of freedom nonlinear damped oscillator described by an ordinary differential equation of motion. The model has been compared to equivalent LRC circuit model and it was shown that differential equation approach is more suitable for calculations which include nonlinearities occurring in an electrodynamic loudspeaker, as well as couplings of different vibration modes, particularly those coming from vibrating air and loudspeaker itself. The nonlinear differential equation of periodically driven anharmonic oscillator was solved numerically, and calculated electric impedance compared to the experimental data. Calculations included different working regimes of the loudspeaker being operated in an evacuated space and air.

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