TY  - EJOU
AU  - Chang, Hanjiang 
AU  - Tian, Qiang 
AU  - Hu, Haiyan 

TI  - A Geometrically Exact Triangular Shell Element Based on Reproducing Kernel DMS-Splines
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2023
VL  - 136
IS  - 1
SN  - 1526-1506

AB  - 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 <i>C</i><sup>1</sup> 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.
KW  - DMS-splines; reproducing kernel; kirchhoff-love shell; <i>C</i><sup>1</sup> continuity; multibody system dynamics

DO  - 10.32604/cmes.2023.022774