多阶梯圆盘辐射阻抗的计算与分析

Calculation and analysis of radiation impedance of a stepped Circular Plate

根据频率方程设计弯振阶梯圆盘时,若盘的工作频率一定,其基底厚度和半径可以有多种变化.为提高辐射效率,希望辐射阻尽可能大.作者利用叠加法,以二阶梯圆盘为例,推导出多阶梯圆盘辐射阻抗的计算公式,计算了阶梯数目一定时,相对辐射阻抗与基底厚度的关系,也计算了基底厚度一定时,相对辐射阻抗与阶梯数目的关系.结果表明,基底厚度越大、阶梯数目越多(对应的半径也越大)的阶梯盘,其相对辐射阻越大,但辐射抗的变化规律并不明显.

For the given working frequency,design of a flexural vibrating stepped circular plate according to frequency equation,the base thickness and radius of the stepped plate may undergo a variety of changes. In order to improve the radiated efficiency,the values of radiated resistance of the stepped plates are expected to be greater. As an example,the radiated impendence of a plate with two steps can be derived from using of superposition method in this paper. Furthermore, the relationship between radiated impendence and base thickness has been calculated while the number of steps has been fixd, and the relationship between radiated impendence and the number of steps has been also calculated while the base thickness is fixd. The results show that the greater the base thickness is and the more the number of steps is （it means the circular plate with greater radius） ,the greater the radiated resistance is, meanwhile,the reactance shows irregular variation pattern.