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。 Based on the finite element method and the wave superposition method, combined with genetic algorithm to achieve the structural sound radiation shape optimization design. The vibration response of the structure is calculated by the finite element method, and the acoustic radiation power of the structure is calculated by the wave superposition method. The surface shape of the structure is superposed and reconstructed by a set of structural mode shapes to solve the problem that the shape of the structure is difficult to be parameterized. The weight coefficient is the design variable, and the sound radiation power is the design goal. Genetic algorithm is used to optimally configure the modal weight coefficient of each mode to obtain the optimal structure shape so as to achieve the minimum acoustic radiation power. Numerical examples show that this method can reduce the structural acoustic radiation power.