Dynamics model of static coil vibration system of loudspeakers is established based on Lagrange-Maxwell equation. By means of the method of multiple scales to the static coil vibration system of loudspeakers subjected to narrow-band random excitation, the first approximation solution and corresponding to the steady state solution and Ito stochastic differential equation have been obtained. Using moment method the mean-square response equation of the system is derived and numerical analysis is carried out. The influence of the parameters of the static coil vibration system of loudspeakers on the primary resonance response curves and mean-square values have been analyzed. The sufficient and necessary condition for the stability of the primary resonance is the same as the first order moment and the second order moment stability of the system. With the increase of the random disturbance intensity, the limit cycle becomes limit cycle of diffusion and the width increases. Increasing the length of the coil and the magnetic field strength can increase the average value and resonance region of the primary resonance of the system. The mean-square value and the resonance region of the primary resonance can be reduced by increasing the resistance and damping coefficient of the system.
Key words
Loudspeaker /
static coil /
Lagrange-Maxwell equation /
the method of multiple scales method; primary resonance /
mean square response
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