基于HB样条的平面大变形结构动力学等几何分析

Ji Li Rong, Li Yuan Xiong, Cheng Liu*, Peng Fei Xin, Zhi Chao Liu

*此作品的通讯作者

科研成果: 期刊稿件文章同行评审

1 引用 (Scopus)

摘要

In order to develop the adaptive mesh refinement algorithm for planar structural dynamics with large deformation, the construction of hierarchical B-spline basis functions for isogeometric analysis and the multi-level Bézier extraction approach restudied. In order to maintain the uniformity of element basis functions, the multi-level Bézier extraction approach was employed to present a standard element structure for the hierarchical B-spline during analysis process. Furthermore, the super-convergence patch recovery method was applied to obtain the reference stress in the adaptive analysis. Therefore, the refinement domain determined based on the energy norm error, which calculated via the reference stress and the numerical stress during the error estimation. Finally, the effectiveness and accuracy of the isogeometric analysis based on the hierarchical B-spline are validated by a static example of an elastic plate with circular hole and a planar structural dynamic example with large deformation.

投稿的翻译标题Isogeometric Analysis with Hierarchical B-Splines for Planar Structural Dynamics with Large Deformation
源语言繁体中文
页(从-至)592-601
页数10
期刊Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology
40
6
DOI
出版状态已出版 - 1 6月 2020

关键词

  • Hierarchical B-splines
  • Isogeometric analysis
  • Local refinement
  • Multi-level Bézier extraction

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引用此

Rong, J. L., Xiong, L. Y., Liu, C., Xin, P. F., & Liu, Z. C. (2020). 基于HB样条的平面大变形结构动力学等几何分析. Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology, 40(6), 592-601. https://doi.org/10.15918/j.tbit1001-0645.2019.150