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A new solution for vibroacoustic analysis of two-dimensional cylindrical shells partially liquid-filled or partially submerged in fluid

机译:二维圆柱壳进行液体声学分析或部分浸没在流体中的新方法

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摘要

In this study, a semi-analytical method is proposed to study the vibration and acoustic radiation of a two-dimensional cylindrical shell partially coupled with internal fluid. Different from the conventional vibroacoustic model of cylindrical shells, two different coordinates are established to describe the motion of the shell and the internal fluid respectively. One coordinate system is established on the free surface, where the sound pressure release boundary condition is satisfied automatically by constructing a sine series expression of sound pressure. Meanwhile, with the center of the shell's cross section as the origin, the other is established to describe the motion of the shell. Then the Galerkin method and the coordinate transformation technique are adopted to deal with the velocity continuous condition on the partially coupled interface. Finally, the vibroacoustic response can be solved theoretically. The applicability and reliability of the present method are validated by comparison with the finite element method via the free vibration, forced vibration and sound radiation cases. The present method is also extended to deal with the vibration and sound radiation of shell coupled with external fluid successfully. Generally speaking, this study proposes a new method to the solution of the vibroacoustic behaviours of an elastic cylindrical shell partially coupled with fluids theoretically, with a wide application scope and good accuracy.
机译:在这项研究中,提出了一种半分析方法来研究部分与内部流体耦合的二维圆柱壳的振动和声辐射。与传统的圆柱壳体振动声学模型不同,建立了两个不同的坐标来分别描述壳体和内部流体的运动。在自由表面上建立一个坐标系,通过构造声压的正弦序列表达式自动满足声压释放边界条件。同时,以壳体横截面的中心为原点,建立另一个以描述壳体的运动。然后采用Galerkin方法和坐标变换技术来处理部分耦合界面上的速度连续条件。最后,振动声响应可以从理论上解决。通过与有限元法比较,通过自由振动,强迫振动和声音辐射情况,验证了本方法的适用性和可靠性。本方法还扩展为成功地处理与外部流体耦合的壳体的振动和声音辐射。总体而言,本研究提出了一种理论上解决部分与流体耦合的弹性圆柱壳振动特性的新方法,具有广泛的应用范围和良好的精度。

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