An isogeometric collocation approach for Bernoulli-Euler beams and Kirchhoff plates

被引：100

作者：

Reali, Alessandro ^{[1
,2
]}

Gomez, Hector ^{[3
]}

机构：

[1] Univ Pavia, Dept Civil Engn & Architecture, I-27100 Pavia, Italy

[2] IMATI CNR, I-27100 Pavia, Italy

[3] Univ A Coruna, Dept Metodos Matemat, La Coruna 15071, Spain

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2015年 / 284卷

基金：

欧洲研究理事会;

关键词：

Collocation; Bernoulli-Euler beam; Kirchhoff plate; NURBS; Isogeometric analysis; DIFFERENTIAL QUADRATURE METHOD; FUNCTIONALLY GRADED PLATES; NONLINEAR ELASTICITY; FINITE-ELEMENTS; NURBS; LOCKING; APPROXIMATIONS; VIBRATION; ACCURATE;

D O I：

10.1016/j.cma.2014.10.027

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, IGA collocation methods are for the first time introduced for the solution of thin structural problems described by the Bernoulli-Euler beam and Kirchhoff plate models. In particular, a precise description of the proposed methods, of the relevant implementation details, and of the strategy to efficiently deal with different combinations of boundary conditions is given. Finally, several numerical experiments confirm that the proposed formulations represent an efficient and geometrically flexible tool for the simulation of thin structures. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：623 / 636

页数：14

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