Development of numerical technique by Galerkin approach of spectral element method for hybrid beam
Author(s) -
Muhammad Nauman Bashir,
M. Omair Ahmad
Publication year - 2016
Publication title -
aip advances
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.421
H-Index - 58
ISSN - 2158-3226
DOI - 10.1063/1.4967359
Subject(s) - spectral element method , galerkin method , finite element method , stiffness matrix , beam (structure) , discontinuous galerkin method , spectral method , stiffness , element (criminal law) , matrix (chemical analysis) , mathematical analysis , mathematics , mixed finite element method , physics , materials science , structural engineering , optics , engineering , political science , law , composite material
This paper introduces a Galerkin spectral element method (GSEM) for hybrid beam. The considered beam model depends upon the first order shear deformation theory (FSDT) is taken into account. The Galerkin strategy is used to formulate the spectral stiffness matrix based on the frequency. The spectral element method (SEM) is assessed by contrasting its solution with the exact analytical results accessible from literature as well as with the results by finite element method (FEM). This technique shows accuracy and computational efficiency with minimum number of element
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