基于子结构法的结构行为一致多尺度建模方法研究
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韩艳(1979—),女,长沙理工大学教授,博士

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TU311

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国家自然科学基金资助项目(5167082552)


Research on consistent multi-scale modeling method of structure behavior based on substructure method
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    摘要:

    为建立用于大型结构局部细节处动态应力响应分析的有限元模型,本研究提出了一种基于子结构法的结构行为一致多尺度建模方法。该方法运用子结构法将局部精细化有限元模型处理为超单元,并基于界面虚功平衡原理建立多尺度界面耦合处的位移约束方程,经过迭代计算获得约束方程系数,完成多尺度界面的耦合连接。以三维箱型截面悬臂梁结构为例,构建子结构法的多尺度模型,并与基于刚性区域法的多尺度模型的应力响应进行对比分析。研究结果表明:在静力分析应力场,尤其是在多尺度耦合界面附近的应力场与精细化全壳单元模型吻合良好, 但基于刚性区域法的多尺度模型在界面耦合处应力过渡不连续,存在多处应力集中,与精细化全壳单元模型相差较大。此外,该模型的瞬态应力响应也与精细化全壳单元模型吻合良好。该研究成果可为大型结构的局部关键构件的动态应力响应分析提供借鉴。

    Abstract:

    In order to establish a finite element model for dynamic stress response analysis of large structure at local details,a consistent multi-scale modelling method of structural behaviour based on the substructure method was proposed. The local fine finite element model was treated as super-element by the substructure method,and the displacement constraint equation was established based on the interface virtual work balance principle. The coupling connection of multi-scale interfaces was then completed based on the displacement constraint equation coefficients obtained from iterative calculation. Taking the three-dimensional box section cantilever beam structure as example,the multiscale modelling was established using substructure method. The stress response was analyzed and compared with the multi-scale model based on the rigid region method. The results show that the static analysis stress field of the proposed method agrees well with the refined whole shell element model, especially the stress field near the multi-scale coupling interface. However,the multi-scale model based on the rigid region method has discontinuous stress transition and stress concentration at the interface coupling,which is different to the refined whole shell element model. In addition,the transient stress response of the method is in good agreement with the refined whole shell element model. The research result can be applied to analyze the dynamic stress response of the local key component of large structure.

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韩艳,戴灿磊,李凯.基于子结构法的结构行为一致多尺度建模方法研究[J].交通科学与工程,2022,38(3):48-56.
HAN Yan, DAI Canlei, LI Kai. Research on consistent multi-scale modeling method of structure behavior based on substructure method[J]. Journal of Transport Science and Engineering,2022,38(3):48-56.

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  • 在线发布日期: 2023-01-05
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