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Free Vibration of Curved beams with Hierarchical Finite Element Method

by Ramon Macedo Correa, Marcos Arndt, Roberto Dalledone Machado
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 178 - Number 14
Year of Publication: 2019
Authors: Ramon Macedo Correa, Marcos Arndt, Roberto Dalledone Machado
10.5120/ijca2019918916

Ramon Macedo Correa, Marcos Arndt, Roberto Dalledone Machado . Free Vibration of Curved beams with Hierarchical Finite Element Method. International Journal of Computer Applications. 178, 14 ( May 2019), 1-6. DOI=10.5120/ijca2019918916

@article{ 10.5120/ijca2019918916,
author = { Ramon Macedo Correa, Marcos Arndt, Roberto Dalledone Machado },
title = { Free Vibration of Curved beams with Hierarchical Finite Element Method },
journal = { International Journal of Computer Applications },
issue_date = { May 2019 },
volume = { 178 },
number = { 14 },
month = { May },
year = { 2019 },
issn = { 0975-8887 },
pages = { 1-6 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume178/number14/30595-2019918916/ },
doi = { 10.5120/ijca2019918916 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:50:20.556211+05:30
%A Ramon Macedo Correa
%A Marcos Arndt
%A Roberto Dalledone Machado
%T Free Vibration of Curved beams with Hierarchical Finite Element Method
%J International Journal of Computer Applications
%@ 0975-8887
%V 178
%N 14
%P 1-6
%D 2019
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper the use of Hierarchical Finite Element Method (HFEM) in free vibration of curved beams is explored. The traditional Finite Element Method has been applied in dynamic structural problems over the years, but when searching for higher vibration frequencies a great computational effort is necessary. In this context, two hierarchical finite element approaches are proposed in order to achieve more accurate results than simple FEM mesh refinement, called h refinement. The proposed HFEM uses the Lobatto and Bardell polynomials to p refinement. The results are compared with references found in literature.

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Index Terms

Computer Science
Information Sciences

Keywords

Hierarchical Finite Element Method Finite Element Method curved beams free vibration