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ARTICLE
Abstract
Geometric fitting based on discrete points to establish curve structures
is an important problem in numerical modeling. The purpose of this paper is to
investigate the geometric fitting method for curved beam structure from points,
and to get high-quality parametric model for isogeometric analysis. A Timoshenko
beam element is established for an initially curved spacial beam with arbitrary
curvature. The approximation and interpolation methods to get parametric models
of curves from given points are examined, and three strategies of parameterization, meaning the equally spaced method, the chord length method and the centripetal method are considered. The influences of the different geometric
approximation algorithms on the precision of isogeometric analysis are examined.
The static analysis and the modal analysis with the established parametric models
are carried out. Three examples with different complexities, the quarter arc curved
beam, the Tschirnhausen beam and the Archimedes spiral beam are examined.
The results show that for the geometric approximation the interpolation method
performs good and maintains high precision. The fitting algorithms are able to
provide parametric models for isogeometric analysis of spacial beam with
Timoshenko model. The equally spaced method and centripetal method perform
better than the chord length method for the algorithm to carry out the parameterization for the sampling points.
Keywords
Cite This Article
Xia, Y., Deng, L., Zhao, J. (2020). Analysis-Aware Modelling of Spacial Curve for Isogeometric Analysis of Timoshenko Beam.
CMES-Computer Modeling in Engineering & Sciences, 124(2), 605–626.