中文摘要：

在分析管形振子结构及工作模式的基础上，对其在反应器内辐射声场的计算模型进行合理简化，利用间接边界元法计算了单个管形振子的辐射声场，通过实验验证了该计算方法的有效性。以两个管形振子在圆柱形槽中的布阵为例说明了布阵的优化方法。首先利用间接边界元方法计算了该系统的声场，然后以声场中一些平面上的声压平均值作为评价依据，比较了振子间距不同时的声场强弱，并通过观察振子间距不同时的声场分布情况判断声场的均匀性，从而达到优化布阵。实验结果表明该优化方案是可行的，为管形振子的工程应用提供了一定的技术依据。

英文摘要：

To effectively use tubular vibrators in the large-scale liquid processing, arrangement to produce intense and uniform ultrasonic field should be understood. A calculation model for the radiated sound field of a tubular vibrator is properly simplified based on its structural and operation mode. The sound field of a single tubular vibrator is calculated using indirect boundary element method （IBEM）, and validity of the calculation is tested in the experiment. An optimization method of arrangement is illustrated with an arrangement of two tubular vibrators in a cylindrical reactor. An optimal arrangement is achieved by comparing the intensities and uniformities in certain places of the sound fields generated by two vibrators with different spacing. The experimental result indicates that this optimization plan is feasible.