用于以固定时间增量进行实时灵活多体动力学模拟的快速训练 DNN 模型

IF 8.7 2区 工程技术 Q1 Mathematics Engineering with Computers Pub Date : 2024-04-04 DOI:10.1007/s00366-024-01962-8
Myeong-Seok Go, Young-Bae Kim, Jeong-Hoon Park, Jae Hyuk Lim, Jin-Gyun Kim
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引用次数: 0

摘要

本研究提出了一种基于固定时间增量的高效方法,结合深度神经网络(DNN)建模和主成分分析(PCA),对柔性多体动力学(FMBD)问题进行数据驱动分析。为了构建基于 DNN 的代用模型,我们消除了输入特征中的时间瞬间,同时应用 PCA 来降低输出结果的维度,其中包括位移、应力和应变等瞬态动力学特征。这种结构调整使我们能够保留输出数据集中的时间信息,同时仍将其格式化为固定时间增量格式,从而简化了高效 DNN 模型的训练过程。尽管使用的样本较少,但与不使用 PCA 的 DNN 模型相比,这种方法大大降低了训练成本。包括双复摆、活塞汽缸系统和可部署抛物面天线在内的基准问题表明,所提出的方案在保持准确性和快速预测时间的同时,大大缩短了训练时间。
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A rapidly trained DNN model for real-time flexible multibody dynamics simulations with a fixed-time increment

This study presents an efficient fixed-time increment-based approach for a data-driven analysis of flexible multibody dynamics (FMBD) problems, combining deep neural network (DNN) modeling and principal component analysis (PCA). To construct a DNN-based surrogate model, we eliminated the time instant in the input features while applying PCA to reduce the dimensionality of the output results, which encompassed transient dynamics such as displacement, stress, and strain. This restructuring allowed us to maintain the temporal information in the output data set while still formatting it in a fixed-time increment format, streamlining the process of training an efficient DNN model. Despite using fewer samples, this approach significantly reduces training costs compared to DNN model without PCA. Benchmark problems, including a double compound pendulum, piston-cylinder system, and deployable parabolic antenna, demonstrate that the proposed scheme drastically reduces training time while maintaining accuracy and quick prediction time.

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来源期刊
Engineering with Computers
Engineering with Computers 工程技术-工程:机械
CiteScore
16.50
自引率
2.30%
发文量
203
审稿时长
9 months
期刊介绍: Engineering with Computers is an international journal dedicated to simulation-based engineering. It features original papers and comprehensive reviews on technologies supporting simulation-based engineering, along with demonstrations of operational simulation-based engineering systems. The journal covers various technical areas such as adaptive simulation techniques, engineering databases, CAD geometry integration, mesh generation, parallel simulation methods, simulation frameworks, user interface technologies, and visualization techniques. It also encompasses a wide range of application areas where engineering technologies are applied, spanning from automotive industry applications to medical device design.
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