中文摘要：

基于有限元法和波叠加法，结合遗传算法实现了结构声辐射形状优化设计。用有限元法计算结构振动响应，波叠加法计算结构声辐射功率，以一组结构模态振型叠加重构结构表面形状解决了结构形状难以参数化的问题，并以每阶模态振型权系数为设计变量，声辐射功率为设计目标，采用遗传算法优化配置每阶模态振型权系数获得最优结构形状，以达到声辐射功率最小的目的。数值算例表明，该方法可以较好地降低结构声辐射功率。

英文摘要：

Structure acoustic shape optimization was implemented using genetic algorithm based on the finite dement method and wave superposition method. By using the finite element method, the vibration response was analyzed and the radiation sound power was calculated by the wave superposition method. In order to solve the problem of building the structure parameter model, the structure surface was restructured with a series of mode shape superposition. By using the genetic algorithm, the weight factor of each mode shape was optimized to get the best surface shape with minimum radiation sound power response. A numerical example was demonstrated to verify the efficiency and accuracy of the method.