中文摘要：

对纵径耦合振动的管形振子进行了研究,给出了管形振子的频率方程,并利用有限元和边界元软件对管形振子的振动模态和辐射的声场特性进行了分析。对于管形振子,由于振子各部分的振动幅度和相位不同,因而在振子径向位移较大的水平区域声场加强,较小的水平区域声场减弱。通过实验验证了分析结果的正确性。

英文摘要：

In this paper, tubular vibrator with coupled longitudinal and radial vibration is studied, and the frequency equation of tubular vibrator derived. The vibration modal and radiated fields of tubular vibrator are analyzed with FEM and BEM. The results show that the radiated field of tubular vibrator in a horizontal region of large radial displacement becomes stronger, and that in a horizontal region of small radial displacement becomes weaker. Validity of the conclusion is experimentally tested.