论文标题
一种自适应且可扩展的基于ANN的模型订购方法,用于设计
An Adaptive and Scalable ANN-based Model-Order-Reduction Method for Large-Scale TO Designs
论文作者
论文摘要
拓扑优化(TO)提供了一种系统的方法,用于以最佳的关注性能获得结构设计。但是,该过程需要在每次迭代处对目标函数和约束的数值评估,这是计算昂贵的,尤其是对于大型设计而言。已经开发了基于深度学习的模型来加速该过程,要么通过充当替代模拟过程的替代模型,要么完全替换优化过程。但是,其中大多数需要大量标记的培训数据,这些数据主要是通过模拟生成的。数据生成时间随着设计域的大小而迅速扩展,从而降低了方法本身的效率。另一个主要问题是大多数深度学习模型的普遍性薄弱。大多数模型都经过培训,可以处理类似于数据生成的设计问题,如果设计问题发生了变化,则需要进行重新培训。在这项工作中,提出了一种可扩展的基于深度学习的模型订购方法,以加速大规模进行处理,该方法是利用MapNet(一种神经网络),该神经网络映射了从粗尺度到细尺度的感兴趣领域。所提出的方法允许对要在更粗的网格上执行的to过程模拟,从而大大减少了总计算时间。此外,通过使用域碎片化,MAPNET的可传递性在很大程度上得到了改善。具体而言,已经证明,使用一个具有特定负载条件的悬臂梁设计的数据训练的MAPNET可以直接应用于具有不同域形,大小,边界和加载条件的其他结构设计问题。
Topology Optimization (TO) provides a systematic approach for obtaining structure design with optimum performance of interest. However, the process requires numerical evaluation of objective function and constraints at each iteration, which is computational expensive especially for large-scale design. Deep learning-based models have been developed to accelerate the process either by acting as surrogate models replacing the simulation process, or completely replacing the optimization process. However, most of them require a large set of labelled training data, which are generated mostly through simulations. The data generation time scales rapidly with the design domain size, decreasing the efficiency of the method itself. Another major issue is the weak generalizability of most deep learning models. Most models are trained to work with the design problem similar to that used for data generation and require retraining if the design problem changes. In this work a scalable deep learning-based model-order-reduction method is proposed to accelerate large-scale TO process, by utilizing MapNet, a neural network which maps the field of interest from coarse-scale to fine-scale. The proposed method allows for each simulation of the TO process to be performed at a coarser mesh, thereby greatly reducing the total computational time. Moreover, by using domain fragmentation, the transferability of the MapNet is largely improved. Specifically, it has been demonstrated that the MapNet trained using data from one cantilever beam design with a specific loading condition can be directly applied to other structure design problems with different domain shapes, sizes, boundary and loading conditions.