水中有限长功能梯度材料圆柱壳声辐射研究

摘要

研究了径向简谐集中力激励下的水中功能梯度复合材料有限长圆柱壳的振动和声辐射问题.从有限长功能梯度材料振动方程出发,利用模态叠加法,推导出了圆柱壳在径向集中力激励下,平面振动平均振速和声辐射效率表达式.通过数值仿真计算了不同梯度指数下圆柱壳的平均振速、辐射功率和辐射效率.为功能梯度材料圆柱壳声辐射的研究提供了一种有效方法.%Sound radiation from a submerged functionally gradient material cylindrical shell excited by har monic point radial force is considered. Based on the vibration equation of finite FGM cylindrical shell, the ex pression of mean radial quadratic velocity and sound radiation efficiency by modal analysis method have been de rived on the condition that it is excited by a radial harmonic point force. Finally, the relationships between mean radial quadratic velocity and frequency, between radiated sound power and frequency, and between radiation ef ficiency and frequency are numerical solved under various gradient index of FGM cylindrical shell.