邹云峰, 付正亿, 何旭辉, 卢玄东, 阳劲松, 周帅. 基于经验模态分解和模型缩聚的动力响应重构方法研究[J]. 工程力学, 2022, 39(2): 67-75. DOI: 10.6052/j.issn.1000-4750.2020.12.0915
引用本文: 邹云峰, 付正亿, 何旭辉, 卢玄东, 阳劲松, 周帅. 基于经验模态分解和模型缩聚的动力响应重构方法研究[J]. 工程力学, 2022, 39(2): 67-75. DOI: 10.6052/j.issn.1000-4750.2020.12.0915
ZOU Yun-feng, FU Zheng-yi, HE Xu-hui, LU Xuan-dong, YANG Jin-song, ZHOU Shuai. DYNAMIC RESPONSE RECONSTRUCTION METHOD BASED ON EMPIRICAL MODE DECOMPOSITION AND MODEL CONDENSATION[J]. Engineering Mechanics, 2022, 39(2): 67-75. DOI: 10.6052/j.issn.1000-4750.2020.12.0915
Citation: ZOU Yun-feng, FU Zheng-yi, HE Xu-hui, LU Xuan-dong, YANG Jin-song, ZHOU Shuai. DYNAMIC RESPONSE RECONSTRUCTION METHOD BASED ON EMPIRICAL MODE DECOMPOSITION AND MODEL CONDENSATION[J]. Engineering Mechanics, 2022, 39(2): 67-75. DOI: 10.6052/j.issn.1000-4750.2020.12.0915

基于经验模态分解和模型缩聚的动力响应重构方法研究

DYNAMIC RESPONSE RECONSTRUCTION METHOD BASED ON EMPIRICAL MODE DECOMPOSITION AND MODEL CONDENSATION

  • 摘要: 大型工程结构自由度数量巨大,采用现有基于全局有限元模型的时域方法重构此类结构动力响应效率低、计算难度大,因此,提出一种结合经验模态分解和模型缩聚的动力响应重构方法。基于模态综合法,将有限元全模型适当划分为多个子结构,通过坐标转换,得到自由度数目更少的超单元模型,结合带有间歇准则的经验模态分解法进行重构。由于该方法无需考虑各子结构边界条件,有效地降低了有限元模型相关物理参数矩阵的维度,较大地提高了响应重构的计算效率,更适用于大型复杂工程结构的动力响应重构。结合悬臂梁数值模拟算例,验证了该重构方法的高效性,并研究了噪声及主模态数量对重构效果的影响。结果表明,提高噪声水平对重构精度有一定影响,且主模态数量对重构精度影响不大。

     

    Abstract: In terms of performing the dynamic response reconstruction of large civil engineering structures, the efficiency and accuracy of the current time-domain method based on finite elements are low and poor. A dynamic response reconstruction method combining empirical modal decomposition and modal condensation is proposed. Based on the modal synthesis method, the whole finite element model is divided into several sub-structures, and a super-element model with less DOFs is obtained by coordinate transformations. The reconstruction is carried out by combining the empirical modal decomposition method with intermittent criterion. Without considering the boundary conditions of each substructure, this method effectively reduces the dimension of the mathematical matrix of the relevant physical parameters of the finite element model, greatly improves the computational efficiency of response reconstruction, and is suitable for the dynamic response reconstruction of civil engineering structures. The effectiveness of the reconstruction method is verified by a numerical example of a cantilever beam, and the influence of noise and the number of main modes on the reconstruction effect are studied. The results show that the noise level has some influence on the precision of reconstruction, and that the number of main modes has trivial influence on the precision of reconstruction.

     

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