An online reduced-order method for dynamic sensitivity analysis

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2025-03-21 DOI:10.1016/j.enganabound.2025.106198

Shuhao Li , Jichao Yin , Yaya Zhang , Hu Wang

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Abstract

This study introduces an online reduced-order methodology designed to avoid the need for generating additional samples during the offline phase, a requirement typically associated with the classical reduced basis method. The proposed methodology is implemented for accelerating the sensitivity analysis in the dynamic topology optimization. The dominant Proper Orthogonal Mode (POM) of the adjoint sensitivity solution is initialized by Proper Orthogonal Decomposition (POD). Sequentially, in the incremental Singular Value Decomposition (SVD) approach, the truncated strategy is utilized to enable the algorithm to efficiently update the basis functions. Furthermore, a novel self-learning Temporal Convolutional Neural Network (TCN)-based error predictive model has been built for the presented reduced-order method, aimed at predicting the true error. This advancement facilitates the adaptive construction of the reduced basis functions. Finally, the effectiveness of the algorithm in terms of computational efficiency and accuracy is demonstrated by means of numerical results, and the proposed error estimation is also verified.

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动态灵敏度分析的在线降阶方法

本研究引入了一种在线降阶方法，旨在避免在离线阶段生成额外样本的需要，而传统的降基方法通常需要生成额外样本。为加快动态拓扑优化中的灵敏度分析，实现了该方法。利用固有正交分解（POD）初始化伴随灵敏度解的优势固有正交模态（POM）。其次，在增量奇异值分解（SVD）方法中，利用截断策略使算法能够有效地更新基函数。此外，针对所提出的降阶方法，建立了一种新的基于自学习时间卷积神经网络（TCN）的误差预测模型，旨在预测真实误差。这一进步有利于自适应构造约简基函数。最后，通过数值结果验证了算法在计算效率和精度方面的有效性，并对所提出的误差估计进行了验证。

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.