Bokhari Ahmad H, Berggren Martin, Noreland Daniel, Wadbro Eddie
Department of Computing Science, Umeå University, 901 87, Umeå, Sweden.
The Forestry Research Institute of Sweden (Skogforsk), Uppsala Science Park, 75183, Uppsala, Sweden.
Sci Rep. 2023 Dec 1;13(1):21248. doi: 10.1038/s41598-023-46170-4.
Using material distribution-based topology optimization, we optimize the bandpass design of a loudspeaker cabinet targeting low frequencies. The objective is to maximize the loudspeaker's output power for a single frequency as well as a range of frequencies. To model the loudspeaker's performance, we combine a linear electromechanical transducer model with a computationally efficient hybrid 2D-3D model for sound propagation. The adjoint variable approach computes the gradients of the objective function with respect to the design variables, and the Method of Moving Asymptotes (MMA) solves the topology optimization problem. To manage intermediate values of the material indicator function, a quadratic penalty is added to the objective function, and a non-linear filter is used to obtain a mesh independent design. By carefully selecting the target frequency range, we can guide the optimization algorithm to successfully generate a loudspeaker design with the required bandpass character. To the best of our knowledge, this study constitutes the first successful attempt to design the interior structure of a loudspeaker cabinet using topology optimization.
利用基于材料分布的拓扑优化方法，我们针对低频对扬声器箱体的带通设计进行了优化。目标是使扬声器在单个频率以及一定频率范围内的输出功率最大化。为了对扬声器的性能进行建模，我们将线性机电换能器模型与用于声音传播的高效计算混合二维 - 三维模型相结合。伴随变量法计算目标函数相对于设计变量的梯度，移动渐近线法（MMA）解决拓扑优化问题。为了处理材料指示函数的中间值，在目标函数中添加了二次罚函数，并使用非线性滤波器来获得与网格无关的设计。通过仔细选择目标频率范围，我们可以引导优化算法成功生成具有所需带通特性的扬声器设计。据我们所知，本研究是首次尝试使用拓扑优化设计扬声器箱体的内部结构并取得成功。
