Taha Hussein Abd Allah Mohamed
Lecturer
Improved dynamic analysis of shear deformable shells using the hybrid displacement boundary element method
Engineering Analysis with Boundary Elements • 2024
Publication Information
Authors
Taha H.A. Naga, Elsayed M. Elsheikh
Keywords
Variational method; Finite element method; Fundamental solution; Dynamic analysis
Journal
Engineering Analysis with Boundary Elements
Publisher
Elsevier
Volume
160
Issue
Not Available
Pages
213-225
publication.type
International
Paper Link
Open Link
Supplementary Materials
Not Available
Abstract
In this paper, the dynamic analysis of shear deformable shells was conducted using the hybrid displacement
boundary element method (HD-BEM). The approach involved utilizing the fundamental solution as a trial
function to derive the 8-node element stiffness matrix, while approximating the boundary variables with
quadratic shape functions. To ensure efficient computations and avoid singular integrals, the source points were
strategically positioned outside the domain. For accurate calculations of the proposed 8-node element mass
matrix, only four Gauss points were relied upon. It is important to note that both the element mass and stiffness
matrices demonstrate symmetry. Throughout the study, free, forced, and harmonic analyses were considered.
Encouragingly, the results obtained from the study exhibited exceptional accuracy levels, even when employing a
coarse discretization approach.
boundary element method (HD-BEM). The approach involved utilizing the fundamental solution as a trial
function to derive the 8-node element stiffness matrix, while approximating the boundary variables with
quadratic shape functions. To ensure efficient computations and avoid singular integrals, the source points were
strategically positioned outside the domain. For accurate calculations of the proposed 8-node element mass
matrix, only four Gauss points were relied upon. It is important to note that both the element mass and stiffness
matrices demonstrate symmetry. Throughout the study, free, forced, and harmonic analyses were considered.
Encouragingly, the results obtained from the study exhibited exceptional accuracy levels, even when employing a
coarse discretization approach.
