扬声器锥壳的全频段强迫振动解

解析和数值研究了扬声器锥壳全频段的轴对称强迫振动。给出了典型低频段、典型转点频段和典型高频段的显式位移解析解、特征频率方程和轴向导纳表达式。解析结果与数值计算和实验结果结果非常吻合。在典型低频段,振动完全是纵波型的。在典型转点频段,全域的纵波运动和转点外侧域的横波运动共存,谐振和反谐振频率方程相应呈现出无矩解和弯曲解的耦合特性。在典型高频段,全域的纵波运动和横波运动互相独立,相应出现2组独立的纵波和横波固有频率。

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.