CAJ | 학술논문

研究水下圆柱壳声辐射问题时常常将流体声介质假设为无限域,而在实际工程中流体为存在自由液面的有限域.针对此假设的不足,基于 Flügge 薄壳振动方程和 Helmholtz 方程,利用镜像法和汉克尔函数的加法定理建立自由液面以下有限浸没深度处圆柱壳结构与声场的耦合振动方程,研究辐射声场中辐射声压随浸没深度的波动特性.研究表明,不同频率下远场辐射声压随浸没深度的变化曲线上,波峰之间的距离为流体声波波长的1/2.研究结论可为实际工程应用提供理论基础.
연구수하원주각성복사문제시상상장류체성개질가설위무한역,이재실제공정중류체위존재자유액면적유한역.침대차가설적불족,기우 Flügge 박각진동방정화 Helmholtz 방정,이용경상법화한극이함수적가법정리건립자유액면이하유한침몰심도처원주각결구여성장적우합진동방정,연구복사성장중복사성압수침몰심도적파동특성.연구표명,불동빈솔하원장복사성압수침몰심도적변화곡선상,파봉지간적거리위류체성파파장적1/2.연구결론가위실제공정응용제공이론기출.
While studying the underwater acoustic radiation from cylindrical shells,the fluid is often as?sumed to be infinite. However,the free surface of the fluid always exists in real practices. Aiming at this flaw in the assumption,the structure-acoustical coupling equation of a cylindrical shell submerged in the fluid with finite depth is established by applying the image method and the addition theorem of the Hankel function,based on the Flügge equation and the Helmholtz equation. The fluctuation characteristics of the sound pressure at a certain observation point versus the depth are investigated,and it is found that the dis?tance between the two adjacent peaks in the obtained curve equals half of the acoustic wavelength in the fluid. These findings may provide a theoretical basis for practical engineering applications.