Research article Vol. 16 No. 3 (2020): International Journal for Computational Civil and Structural Engineering

NUMERICAL SOLUTION OF THE PROBLEM OF BEAM ANALYSIS WITH THE USE OF B-SPLINE FINITE ELEMENT METHOD

Pavel Akimov, Marina Mozgaleva, Taymuraz Kaytukov
12-22 DOI 10.22337/2587-9618-2020-16-3-12-22 Published 2020-09-24
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NUMERICAL SOLUTION OF THE PROBLEM OF BEAM ANALYSIS WITH THE USE OF B-SPLINE FINITE ELEMENT METHOD

Authors

  • Pavel Akimov National Research Moscow State University of Civil Engineering, Moscow, RUSSIA; Tomsk State University of Architecture and Civil Engineering, Tomsk, RUSSIA; Peoples' Friendship University of Russia, Moscow, RUSSIA; Russian Academy of Architecture and Construction Sciences, Moscow, RUSSIA
  • Marina Mozgaleva National Research Moscow State University of Civil Engineering, Moscow, RUSSIA
  • Taymuraz Kaytukov National Research Moscow State University of Civil Engineering, Moscow, RUSSIA

DOI:

https://doi.org/10.22337/2587-9618-2020-16-3-12-22

Keywords:

wavelet-based finite element method, B-spline finite element method, finite element metho B-spline, numerical solution, beam analysis

Abstract

Numerical solution of the problem of beam analysis (bending analysis of the Bernoulli beam) with the use of B-spline finiteelement method is under consideration in the distinctive paper. The original continual and finiteelement formulations of the problem are given, some actual aspects of construction of normalized basis functions of a B-spline are considered, the corresponding local constructions for an arbitrary finiteelement are described, some information about the numerical implementation and an example of analysis are presented.

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Published

2020-09-24

Issue

Vol. 16 No. 3 (2020): International Journal for Computational Civil and Structural Engineering

Section

Research article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

How to Cite

Akimov, P., Mozgaleva, M., & Kaytukov, T. (2020). NUMERICAL SOLUTION OF THE PROBLEM OF BEAM ANALYSIS WITH THE USE OF B-SPLINE FINITE ELEMENT METHOD. International Journal for Computational Civil and Structural Engineering, 16(3), 12-22. https://doi.org/10.22337/2587-9618-2020-16-3-12-22

Keywords

wavelet-based finite element method, B-spline finite element method, finite element metho B-spline, numerical solution, beam analysis

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