Numerical implementation for isogeometric analysis of thin-walled structures based on a Bezier extraction framework: nligaStruct

被引：21
|
作者：
Du, Xiaoxiao [1 ]
Zhao, Gang [1 ,2 ,3 ]
Zhang, Ran [1 ]
Wang, Wei [1 ,3 ]
Yang, Jiaming [1 ]
机构：
[1] Beihang Univ, Sch Mech Engn & Automat, Beijing 100191, Peoples R China
[2] Minist Ind & Informat Technol, Key Lab Intelligent Mfg Technol Aeronaut Adv Equip, Beijing 100804, Peoples R China
[3] Beijing Engn Technol Res Ctr High Efficient & Gree, Beijing 100191, Peoples R China
来源：
THIN-WALLED STRUCTURES | 2022年 / 180卷
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Isogeometric analysis; Plate and shell; T-spline; B?zier extraction; Linear and nonlinear; Hyperelasticity; T-SPLINES; TOOLPATH GENERATION; ELEMENT; FORMULATION; LOCKING; NURBS; INTEGRATION; GEOMETRY; SHELLS; PLATES;
D O I：
10.1016/j.tws.2022.109844
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
We present an open Octave/Matlab package nligaStruct, for linear and nonlinear isogeometric analysis of thin-walled structures. nligaStruct is an extension of NLIGA in aspect of isogeometric structural analysis. A framework for Bezier extraction of T-spline and NURBS is embedded in the simulation pipeline. Both Reissner- Mindlin and Kirchhoff-Love assumptions are considered in the case of static bending and free vibration analysis of thin-walled structures (plates and shells). The convergence behaviors of these two assumptions for both plate and shell are thoroughly studied and compared. The discrete formulations for large deformation of Kirchhoff-Love shells considering geometrical and material nonlinearity are detailedly derived and carefully implemented. Three types of hyperelastic materials, including St. Venant-Kirchhoff, incompressible neo-Hookean and compressible neo-Hookean, are employed in the large deformation of Kirchhoff-Love shells. A series of popular benchmark examples and their geometrical models are demonstrated in the package. The numerical results are validated by comparing with analytical solutions and that obtained from commercial software. The postprocessing is self-contained and implemented by tessellation of Bezier elements. Finally, complete source codes and the data obtained from numerical examples are fully provided and free to access.
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页数：32
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