دانلود رایگان مقاله بهینه سازی طراحی مبتنی بر موج مواد آکوستیک کارآمد

Abstract

We present a novel approach for optimizing acoustic parameters using sensitivity analysis for computer-aided design and analysis of architectural models. Our approach builds on recent low-dispersion wave-based acoustic solvers that can accurately compute the pressure field in large models. We present an efficient technique to compute the gradient of the pressure field using automatic differentiation and combine that with a quasi-Newtonian optimization method to automatically compute the optimal material properties. We highlight the performance on many complex CAD models to optimize the strength and clarity acoustic parameters, and thereby improve the acoustic characteristics of large models. To the best of our knowledge, this is the first practical and accurate approach for acoustic material optimization of large indoor CAD models.

7. Conclusion and future work

We introduce an efficient wave-based acoustic material design optimizer that is capable of handling multiple material segments and multiple target acoustic properties. We show that using the exact derivatives from Automatic Differentiation helps us converge faster on the target optimization result. Additionally, we take advantage of the performance and memory efficiency of the ARD solver compared to other standard acoustic wave solvers. Finally, we show how our system can be used in the application of designing concert halls or other acoustic spaces.In the future we would like to explore methods of applying discrete optimization techniques to the acoustic material optimization problem. While our method can take advantage of the sensitivity of ARD to drive continuous optimization, some of the materials produced may not be physically realistic materials. These continuous values can be discretized into material categories (for example concrete bricks have an absorption between (0.01 and 0.02)). However, discrete optimization approaches could take as input a library of acoustic materials that must be used rather than a continuous curve of absorption values. A further advantage to this approach could be the incorporation of other constraints on the optimization, including material cost or the structural feasibility of using a particular material in a specific location.