Geometrically nonlinear and dynamic analysis of Euler-Bernoulli beams using isogeometric approach

Tran Vinh Loc, Thai Hoang Chien and Nguyen Xuan Hung ()
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Tran Vinh Loc: Division of Computational Mechanics, Ton Duc Thang University HCM, Vietnam
Thai Hoang Chien: Division of Computational Mechanics, Ton Duc Thang University HCM, Vietnam
Nguyen Xuan Hung: Department of Mechanics, Faculty of Mathematics and Computer Science, University of Science HCM, Vietnam

HO CHI MINH CITY OPEN UNIVERSITY JOURNAL OF SCIENCE - ENGINEERING AND TECHNOLOGY, 2013, vol. 3, issue 1, 3-10

Abstract: This paper presents a numerical procedure for geometrically nonlinear and dynamic analysis of Euler-Bernoulli beams based on the framework of isogeometric approach. The method utilizes B-spline as the basis functions for both geometric representation and analysis. Only one deflection variable (without rotational degrees of freedom) is used for each control point. It allows us to use few degrees of freedom while retaining high accuracy of solution. Two numerical examples are provided to illustrate the effectiveness of present method.

Keywords: Isogeometric analysis; Euler-Bernoulli beam; rotation-free; geometric nonlinear; dynamic (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:bjw:techen:v:3:y:2013:i:1:p:3-10

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