Geometrically exact static isogeometric analysis of an arbitrarily curved spatial Bernoulli-Euler beam

Borkovic A.; Marussig B.; Radenkovic G.

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Geometrically exact static isogeometric analysis of an arbitrarily curved spatial Bernoulli-Euler beam

机译：Geometrically exact static isogeometric analysis of an arbitrarily curved spatial Bernoulli-Euler beam

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The objective of this research is the development of a geometrically exact model for the analysis of arbitrarily curved spatial Bernoulli–Euler beams. The complete metric of the beam is utilized in order to include the effect of curviness on the nonlinear distribution of axial strain over the cross section. The exact constitutive relation between energetically conjugated pairs is employed, along with four reduced relations. The isogeometric approach, which allows smooth connections between finite elements, is used for the spatial discretization of the weak form. Two methods for updating the local vector basis are applied and discussed in the context of finite rotations. All the requirements of geometrically exact beam theory are satisfied, such as objectivity and path-independence. The accuracy of the formulation is verified by a thorough numerical analysis. The influence of the curviness on the structural response is scrutinized for two classic examples. If the exact response of the structure is sought, the curviness must be considered when choosing the appropriate beam model.

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《Computer Methods in Applied Mechanics and Engineering》 |2022年第15期|114447.1-114447.32|共32页
作者
Borkovic A.; Marussig B.; Radenkovic G.;
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作者单位

University of Banja Luka Faculty of Architecture Civil Engineering and Geodesy Department of Mechanics and Theory of Structures, 78000 Banja Luka, Bosnia and Herzegovina|Institute of Applied Mechanics Graz University of Technology, Technikerstra?e 4,/II,;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
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关键词
Analytical constitutive relation; Geometrically exact analysis; Spatial Bernoulli–Euler beam; Strongly curved beams;

Geometrically exact static isogeometric analysis of an arbitrarily curved spatial Bernoulli-Euler beam

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