扬声器锥壳的全频段振动通解

为更好地理解扬声器数值计算结果,解析研究了扬声器锥壳轴对称振动在整个工作频段一致有效的通解,这些解以特殊函数的形式给出。在典型低频段,弯曲解仅表现为边界层效应;在典型转点频段,弯曲解存在于转点的外侧域;在典型高频段,弯曲解覆盖了整个扬声器锥壳。无矩解和弯曲解在转点频段是耦合的,该耦合特性表明在此频段不可能消除分割振动。 

General solutions for vibration of loudspeaker conical shells in the whole loudspeaker frequency range

To understand better the numerical results of loudspeakers,the uniformly valid general solutions are studied analytically for axisymmetric vibration of loudspeaker conical shells in the whole loudspeaker frequency range,which are presented in the form of special functions.At typical low frequencies the bending solutions appear only as the boundary layer effect;in the typical turning-point range they exist in the outer part of the shell outside the turning point;at typical high frequencies they cover the whole loudspeaker shell.The membrane solutions and the bending solutions are coupled each other in the turning-point range,and this coupling shows that one can not eliminate the partition vibration in loudspeaker shells.