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基于均匀化计算理论结合结构构型设计和材料构型设计,建立以声辐射功率为目标的两尺度材料/结构协同优化模型,针对夹层结构声学设计问题,开展了声辐射特性拓扑优化研究。分别给出了声辐射功率对宏观和微观设计变量的灵敏度,结合移动渐近线法(MMA)实现了材料/结构两尺度设计。结果表明,声辐射功率两尺度优化改变了夹层结构各阶主振型的形状和顺序,同时也改变了被激发的振型。此外,算例研究了激励频率和约束对优化结果的影响以及声辐射功率目标优化的特殊现象。
Based on the Homogeneity Computation theory, combined with the structural configuration design and material configuration design, a two-scale material / structure collaborative optimization model with acoustic radiation power as the goal is established. According to the acoustic design of sandwich structure, the topological optimization of acoustic radiation characteristics is studied. The sensitivities of acoustic radiation power to macroscopic and microscopic design variables are given respectively. Combined with the moving asymptotic method (MMA), material / structure two-scale design is realized. The results show that the optimization of sound radiation power at two scales changes the shape and order of the main vibration modes in each stage of the sandwich structure and also changes the excited mode shapes. In addition, an example is given to study the influence of excitation frequency and constraint on optimization results and the special phenomenon of target optimization of acoustic radiation power.