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

作　　者：Hanjiang Chang Qiang Tian Haiyan Hu 

机构地区：[1]School of Aerospace Engineering,Beijing Institute of Technology,Beijing,100081,China [2]China Academy of Launch Vehicle Technology,Beijing,100076,China

出　　处：《Computer Modeling in Engineering & Sciences》2023年第7期825-860,共36页工程与科学中的计算机建模（英文）

基　　金：supported in part by the National Natural Science Foundations of China under Grants 11290151,11672034 and 11902363。

摘　　要：Tomodel amultibody systemcomposed of shell components,a geometrically exact Kirchho-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 aexible multibody system undergoing both overall motions and large deformations.

关 键 词：DMS-splines reproducing kernel kirchhoff-love shell C^(1)continuity multibody system dynamics 

分 类 号：O157.5[理学—数学]