论文标题
迈向复合材料的深度产生的引导波形表示
Towards deep generation of guided wave representations for composite materials
论文作者
论文摘要
层压复合材料广泛用于大多数工程领域。波传播分析在理解复合结构的短期瞬态响应中起着至关重要的作用。基于正理物理的模型可用于从弹性特性空间绘制到层压复合材料中的波传播行为。由于引导波的高频,多模式和分散性,基于物理的模拟在计算上是要求的。它使财产预测,生成和材料设计问题更具挑战性。在这项工作中,使用基于正理物理的模拟器(例如刚度矩阵方法)来收集一组复合材料的引导波速度。提出了一个基于变异的自动编码器(VAE)的深层生成模型,以生成新的和现实的极性群体速度表示。据观察,深层发电机能够重建均值均值重建误差的看不见的表示。全球蒙特卡洛和方向性相等的采样器用于对VAE的连续,完整和有组织的低维潜在空间进行采样。采样点被馈入受过训练的解码器以产生新的极性表示。该网络已显示出非凡的生成功能。还可以看出,潜在空间形成了一个概念空间,其中不同的方向和区域显示与生成的表示及其相应材料属性相关的固有模式。
Laminated composite materials are widely used in most fields of engineering. Wave propagation analysis plays an essential role in understanding the short-duration transient response of composite structures. The forward physics-based models are utilized to map from elastic properties space to wave propagation behavior in a laminated composite material. Due to the high-frequency, multi-modal, and dispersive nature of the guided waves, the physics-based simulations are computationally demanding. It makes property prediction, generation, and material design problems more challenging. In this work, a forward physics-based simulator such as the stiffness matrix method is utilized to collect group velocities of guided waves for a set of composite materials. A variational autoencoder (VAE)-based deep generative model is proposed for the generation of new and realistic polar group velocity representations. It is observed that the deep generator is able to reconstruct unseen representations with very low mean square reconstruction error. Global Monte Carlo and directional equally-spaced samplers are used to sample the continuous, complete and organized low-dimensional latent space of VAE. The sampled point is fed into the trained decoder to generate new polar representations. The network has shown exceptional generation capabilities. It is also seen that the latent space forms a conceptual space where different directions and regions show inherent patterns related to the generated representations and their corresponding material properties.