Continuum topology optimization is an effective way to reduce vibration and noise of vibro-acoustic coupling system. However, the high computation time required for calculating the vibro-acoustic responses during topology optimization is a major obstacle for practical applications. In this paper, a novel symmetric method of vibro-acoustic system matrix is proposed, and a new model reduction method is developed based on Craig–Bampton mode synthesis method to compute dynamic responses with adequate efficiency and accuracy for topology optimization. The comparison results show that the proposed method substantially reduces the degrees of freedom (DOFs) and calculation time. The response values and eigenfrequencies calculated by the model reduction method are exactly the same as those of the full model. Furthermore, the bidirectional evolutionary structural optimization (BESO) algorithm is applied to solve the problem of minimizing the response of a single frequency and a certain range of frequency excitation at a specified target point. The results show that the optimization algorithm converges fast, the iterative process is robust and the response values of different coupling systems can be reduced to a higher extend, which indicates the applicability of the optimization algorithm.

连续体拓扑优化是减少振动声耦合系统振动和噪声的有效方法。但是，在拓扑优化期间计算振动响应所需的高计算时间是实际应用的主要障碍。本文提出了一种新的对称的振动声系统矩阵对称方法，并基于Craig–Bampton模式综合方法开发了一种新的模型简化方法，以有效的效率和精度来计算动态响应，以进行拓扑优化。比较结果表明，该方法大大降低了自由度和计算时间。通过模型简化方法计算出的响应值和特征频率与完整模型的响应值和特征频率完全相同。此外，双向进化结构优化（BESO）算法用于解决在指定目标点使单个频率和一定范围的频率激励响应最小化的问题。结果表明，该优化算法收敛速度快，迭代过程鲁棒，不同耦合系统的响应值可以减小到更高的程度，说明该算法的适用性。