In this paper, the thermo-acoustic behavior of a rectangular panel fully immersed in a compressible fluid at rest is investigated. A boundary element method (BEM) has been employed taking into account the Kirchhoff–Helmholtz (K-H) integral equation for the acoustic pressure and with the fluid-plate interface boundary condition the acoustic pressure jump over the panel is calculated. The thermal effects are considered regarding in the form of a uniform increment of temperature of the panel and are analyzed in order to prevent the buckling phenomena. The deformation modes of the panel correspond to the vacuum case. Applying a collocation method for the panel equation, the natural frequencies are obtained. The effects of several geometric parameters regarding different thermal loads on these frequencies are evaluated. Furthermore, the influence of the wave number for different temperatures of the panel on the acoustic damping ratio is evaluated, as well as the acoustic radiation efficiency for the different modes. The verification of the method is proven with other works.

中文翻译：

---

弹性矩形板振动固有频率的热声效应

在本文中，研究了完全浸入静止可压缩流体中的矩形面板的热声行为。考虑到声压的基尔霍夫-亥姆霍兹 (KH) 积分方程，采用边界元法 (BEM)，并使用流体-板界面边界条件计算面板上的声压跳跃。考虑以面板温度均匀增量的形式考虑热效应，并对其进行分析以防止屈曲现象。面板的变形模式对应于真空箱。对面板方程应用配置方法，得到固有频率。评估了关于不同热负荷的几个几何参数对这些频率的影响。此外，评估了面板不同温度下的波数对声阻尼比的影响，以及不同模式下的声辐射效率。该方法的验证通过其他工作得到证明。