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

Tran Vinh Loc; Thai Hoang Chien; Nguyen Xuan Hung

3 (1) 2013

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

Author - Affiliation:

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

Corresponding author: Nguyen Xuan Hung - kim.npt@ou.edu.vn

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

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