基于HB样条的平面大变形结构动力学等几何分析

Translated title of the contribution: Isogeometric Analysis with Hierarchical B-Splines for Planar Structural Dynamics with Large Deformation

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

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.

Translated title of the contributionIsogeometric Analysis with Hierarchical B-Splines for Planar Structural Dynamics with Large Deformation
Original languageChinese (Traditional)
Pages (from-to)592-601
Number of pages10
JournalBeijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology
Volume40
Issue number6
DOIs
Publication statusPublished - 1 Jun 2020

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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