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Vibrations of Loudspeaker Cones in the Transitional Range
The vibration of the loudspeaker conical diaphragm is analyzed in the transitional frequency range, where the bending waves appear on the cone’s outer part and with increasing frequency gradually cover the entire diaphragm. The displacement patterns in the transitional range are described analytically and numerically along with characteristic frequency equations and the axial admittance. The solution of the equations shows a strong coupling between longitudinal and bending motions. For practical applications, the resonance spacing formula is derived as well as the expression for the first nonbending frequency, which may be considered the theoretical upper limit of the loudspeaker frequency response.
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