弯曲振动阶梯形圆板辐射声场研究

Study on radiated sound field of flexural vibrating circular stepped plates with

推导了弯曲振动阶梯形圆板一阶振动的辐射声压及指向性表达式,模拟出自由边界条件下阶梯形圆板轴对称弯曲振动辐射声压的指向性图,并与薄圆板、改进的弯曲振动板和实验测量的阶梯形圆板声场指向性图作了对比.结果表明,阶梯形圆板声场的指向性比薄圆板有很大改善,比改进的弯曲振动板声场指向性更尖锐,理论获得的指向性图与Gallego通过实验测量的指向性图符合很好.这为设计和利用这类弯曲振动板辐射器提供了一定依据.

The radiation pressure and directivity function of flexural vibrating plates with stepped thickness in first order vibration mode are derived. The directivity pattern in free boundary condition is plotted by programming. It is shown that the directivity pattern of flexural vibrating plate with stepped thickness is improved a lot than that of the fiat plate, and is sharper than that of the improved flexural vibrating plate. The theoretical directivity pattern is in good agreement with the experimental result measured by Gallego. This study provides the theoretical foundation for design and application of this kind of vibrator.