Effects of meshing density of 1D structural members with non-uniform cross-section along the length on the calculation of eigenfrequencies

Effects of meshing density of 1D structural members with non-uniform cross-section along the length on the calculation of eigenfrequencies

Density of division in finite element method does not affect only the accuracy of calculation, but also the necessary calculation time. This is directly influenced by the power of the used hardware, the efficiency of the algorithm used to assemble global stiffness and mass matrices and finally, by t...

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Main Author: Rubint Jakub
Format: Article
Language:English
Published: EDP Sciences 2020-01-01
Series:MATEC Web of Conferences
Online Access:https://www.matec-conferences.org/articles/matecconf/pdf/2020/09/matecconf_dyn-wind20_00004.pdf
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spelling doaj-e6bcce9f57c5454cb2ff3f6af2967df12021-08-05T13:50:09ZengEDP SciencesMATEC Web of Conferences2261-236X2020-01-013130000410.1051/matecconf/202031300004matecconf_dyn-wind20_00004Effects of meshing density of 1D structural members with non-uniform cross-section along the length on the calculation of eigenfrequenciesRubint Jakub0Slovak Technical University in Bratislava, Faculty of Civil Engineering, Department of Structural MechanicsDensity of division in finite element method does not affect only the accuracy of calculation, but also the necessary calculation time. This is directly influenced by the power of the used hardware, the efficiency of the algorithm used to assemble global stiffness and mass matrices and finally, by the method used to find eigenvalues of matrices for determination of eigenfrequencies. In engineering practice, when commercially available software is used, it is necessary to look for the optimum between the accuracy of the calculation and the length of the calculation. This paper deals with solution of eigenfrequencies of 1D elements with nonuniform cross section using Python 3.7.4 with libraries "numpy 1.18.1" for finding eigenvalues of matrices and "scipy 1.4.1" for finding solution for system of nonlinear equations.https://www.matec-conferences.org/articles/matecconf/pdf/2020/09/matecconf_dyn-wind20_00004.pdf
collection DOAJ
language English
format Article
sources DOAJ
author Rubint Jakub
spellingShingle Rubint Jakub
Effects of meshing density of 1D structural members with non-uniform cross-section along the length on the calculation of eigenfrequencies
MATEC Web of Conferences
author_facet Rubint Jakub
author_sort Rubint Jakub
title Effects of meshing density of 1D structural members with non-uniform cross-section along the length on the calculation of eigenfrequencies
title_short Effects of meshing density of 1D structural members with non-uniform cross-section along the length on the calculation of eigenfrequencies
title_full Effects of meshing density of 1D structural members with non-uniform cross-section along the length on the calculation of eigenfrequencies
title_fullStr Effects of meshing density of 1D structural members with non-uniform cross-section along the length on the calculation of eigenfrequencies
title_full_unstemmed Effects of meshing density of 1D structural members with non-uniform cross-section along the length on the calculation of eigenfrequencies
title_sort effects of meshing density of 1d structural members with non-uniform cross-section along the length on the calculation of eigenfrequencies
publisher EDP Sciences
series MATEC Web of Conferences
issn 2261-236X
publishDate 2020-01-01
description Density of division in finite element method does not affect only the accuracy of calculation, but also the necessary calculation time. This is directly influenced by the power of the used hardware, the efficiency of the algorithm used to assemble global stiffness and mass matrices and finally, by the method used to find eigenvalues of matrices for determination of eigenfrequencies. In engineering practice, when commercially available software is used, it is necessary to look for the optimum between the accuracy of the calculation and the length of the calculation. This paper deals with solution of eigenfrequencies of 1D elements with nonuniform cross section using Python 3.7.4 with libraries "numpy 1.18.1" for finding eigenvalues of matrices and "scipy 1.4.1" for finding solution for system of nonlinear equations.
url https://www.matec-conferences.org/articles/matecconf/pdf/2020/09/matecconf_dyn-wind20_00004.pdf
work_keys_str_mv AT rubintjakub effectsofmeshingdensityof1dstructuralmemberswithnonuniformcrosssectionalongthelengthonthecalculationofeigenfrequencies
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