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A Geometrically Exact Triangular Shell Element Based on Reproducing Kernel DMS-Splines

Hanjiang Chang1,2,*, Qiang Tian1, Haiyan Hu1

1 School of Aerospace Engineering, Beijing Institute of Technology, Beijing, 100081, China
2 China Academy of Launch Vehicle Technology, Beijing, 100076, China

* Corresponding Author: Hanjiang Chang. Email: email

(This article belongs to this Special Issue: Integration of Geometric Modeling and Numerical Simulation)

Computer Modeling in Engineering & Sciences 2023, 136(1), 825-860. https://doi.org/10.32604/cmes.2023.022774

Abstract

To model a multibody system composed of shell components, a geometrically exact Kirchhoff-Love triangular shell element is proposed. The middle surface of the shell element is described by using the DMS-splines, which can exactly represent arbitrary topology piecewise polynomial triangular surfaces. The proposed shell element employs only nodal displacement and can automatically maintain C1 continuity properties at the element boundaries. A reproducing DMS-spline kernel skill is also introduced to improve computation stability and accuracy. The proposed triangular shell element based on reproducing kernel DMS-splines can achieve an almost optimal convergent rate. Finally, the proposed shell element is validated via three static problems of shells and the dynamic simulation of a flexible multibody system undergoing both overall motions and large deformations.

Graphical Abstract

A Geometrically Exact Triangular Shell Element Based on Reproducing Kernel DMS-Splines

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Cite This Article

Chang, H., Tian, Q., Hu, H. (2023). A Geometrically Exact Triangular Shell Element Based on Reproducing Kernel DMS-Splines. CMES-Computer Modeling in Engineering & Sciences, 136(1), 825–860.



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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