摘要
研究共振声辐射理论(Resonance Radiation Theory:RRT)在水中矩形板的应用。导出了矩形板的共振声辐射公式、并数值验证了其适用性。深入分析了有流体负荷矩形板的复共振频率的物理意义及其与导纳留数、模态辐射率的关系,复共振频率的实部表示实际共振频率,虚部反映模态辐射能力。根据复共振频率容易找到辐射能力相对较强的模态,为有针对性控制声辐射提供了新的思路。鉴于复平面搜根求解模态复共振频率的困难,针对矩形板的特点提出了一种求解复共振频率及留数的快速方法。结合该方法及RRT,提出了一种快速计算辐射声功率的方法,数值验证表明该方法精度高、速度快。
The application of Resonance Radiation Theory （RRT） for submerged rectangular plates was investigated. The RRT formula of the rectangular plate was derived and validated numerically. For fluid loaded rectangular plates, the physical essence of the complex resonant frequency, and the relationship of which with residue of the reactance and modal radiation efficiency were deeply analyzed. The real part of complex resonant frequency represents the actual modal natural frequency, and the imagine part determines modal radiation ability. It is easy to find the mode whose radiation ability is relatively strong, which leads to an idea to targeted control of the sound radiation. Since the difficulty in solving complex resonance frequency by the method of searching in complex plane, an efficient method for solving complex resonance frequencies and residues of plates was presented. On the basis of the method and RRT, a tool for predicting rapidly and efficiently the radiated sound power of rectangular plates was proposed and validated numerically.
出处
《声学学报》
EI
CSCD
北大核心
2013年第1期49-56,共8页
Acta Acustica
基金
海洋工程国家重点实验室自主研发基金资助项目(GKZD010036)
