Forced vibration of loudspeaker conical shells in the whole loudspeaker frequency range

The forced axisymmetric vibrations of loudspeaker conical shells are studied analytically and numerically in the whole loudspeaker frequency range.The analytic displacement solutions in the typical low frequencies,the typical turning-point range and the typical high frequencies are presented explicitly as well as the characteristic frequency equations and the axial admittance expressions.The analytic results agree well with the numerical and experimental results.At the typical low frequencies,the vibration is wholly of membrane type.In the typical turning-point range, the membrane motion over the entire shell and the bending motion on the outer cone part coexist,and the frequency equations of resonance and anti-resonance are correspondingly coupling between the membrane and bending solutions. At the typical high frequencies,the membrane and bending motions over the entire shell are independent,resulting in the two independent groups of the membrane and bending natural frequencies.