Department Of Mechanical Engineering, Columbia University, New York, NY, USA.
J R Soc Interface. 2021 Nov;18(184):20210571. doi: 10.1098/rsif.2021.0571. Epub 2021 Nov 24.
In this work we aim to mimic the human ability to acquire the intuition to estimate the performance of a design from visual inspection and experience alone. We study the ability of convolutional neural networks to predict static and dynamic properties of cantilever beams directly from their raw cross-section images. Using pixels as the only input, the resulting models learn to predict beam properties such as volume maximum deflection and eigenfrequencies with 4.54% and 1.43% mean average percentage error, respectively, compared with the finite-element analysis (FEA) approach. Training these models does not require prior knowledge of theory or relevant geometric properties, but rather relies solely on simulated or empirical data, thereby making predictions based on 'experience' as opposed to theoretical knowledge. Since this approach is over 1000 times faster than FEA, it can be adopted to create surrogate models that could speed up the preliminary optimization studies where numerous consecutive evaluations of similar geometries are required. We suggest that this modelling approach would aid in addressing challenging optimization problems involving complex structures and physical phenomena for which theoretical models are unavailable.
在这项工作中,我们旨在模仿人类仅通过视觉观察和经验来获得从设计中直观估计性能的能力。我们研究了卷积神经网络从悬臂梁的原始横截面图像直接预测其静态和动态特性的能力。使用像素作为唯一输入,所得模型能够学习预测梁的特性,例如体积最大挠度和固有频率,其平均百分比误差分别为 4.54%和 1.43%,与有限元分析(FEA)方法相比。训练这些模型不需要理论或相关几何特性的先验知识,而是仅依赖于模拟或经验数据,从而基于“经验”而非理论知识进行预测。由于这种方法比 FEA 快 1000 多倍,因此可以采用它来创建替代模型,从而可以加快需要对类似几何形状进行多次连续评估的初步优化研究。我们建议这种建模方法将有助于解决涉及复杂结构和物理现象的具有挑战性的优化问题,而这些问题目前尚无理论模型。