@article{abdulkarim,shnajabarandsaeed,najmadeenmohammed2024,
author = {Abdulkarim, Shna Jabar and Saeed, Najmadeen Mohammed},
title = {STATICAL NONLINEAR ANALYSIS OF SPHERICAL ASSEMBLIES UTILIZING PADE APPROXIMATION},
journal = {Eurasian J. Sci. Eng},
volume = {10},
number = {1},
pages = {103-112},
year = {2024}
}
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STATICAL NONLINEAR ANALYSIS OF SPHERICAL ASSEMBLIES UTILIZING PADE APPROXIMATION
Shna Jabar Abdulkarim＊¹’ ² and Najmadeen Mohammed Saeed ²’ ³
Affiliation¹ Civil Engineering Department, Erbil Technical Engineering College, Erbil Polytechnic University, Erbil, Iraq.
² Civil Engineering Department, University of Raparin, Rania, Iraq.
³ Civil Engineering Department, Faculty of Engineering, Tishk International University, Erbil, Iraq.
*Corresponding Author
ORCID :
Shna Abdulkarim: https://orcid.org/0000-0001-6969-4889, Najmadeen Mohammed Saeed: https://orcid.org/0000-0001-7074-0256
DOI :
https://doi.org/10.23918/eajse.v10i1p9
Article History
|
Received: 2022-12-04 |
Revised: 2023-01-12 |
Accepted: 2024-02-18 |
A new numerical technique for computing the displacement and internal force is presented and applied to the double-layer spherical model. This numerical approach takes into consideration the geometrical nonlinear response of the pin-jointed rigid systems. The presented method performs a practical way of employing the large deformation within the elastic limit for analyzing space structures. In the proposed technique the nonlinear geometrical response of the assembly is modeled and analyzed as a system of algebraic nonlinear equations. The Pade approximation method is conducted in the derivation to give a high rate of convergent ratio in solving the nonlinear equations. The result is validated using the nonlinear finite element software SAP2000 and the linear force method. The discrepancies between the proposed technique and SAP2000 analysis results for external nodal displacement difference and internal element force difference are computed and compared with the linear technique outcomes. The Euclidean norm index is also used to test the precision of calculated nonlinear nodal displacements. The findings showed more closeness to nonlinear SAP2000 results than the linear method.
Geometric Nonlinearity; Nonlinear Analysis; Statical Analysis; Spherical; Force Method.
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Abdulkarim, S. J., & Saeed, N. M. (2024). STATICAL NONLINEAR ANALYSIS OF SPHERICAL ASSEMBLIES UTILIZING PADE APPROXIMATION. Eurasian J. Sci. Eng, 10(1),103-112.
CopyAbdulkarim, SJ, and Saeed NM. "STATICAL NONLINEAR ANALYSIS OF SPHERICAL ASSEMBLIES UTILIZING PADE APPROXIMATION." Eurasian J. Sci. Eng, 10.1, (2024), pp.103-112.
CopyAbdulkarim, S. J., & Saeed, N. M. (2024) "STATICAL NONLINEAR ANALYSIS OF SPHERICAL ASSEMBLIES UTILIZING PADE APPROXIMATION", Eurasian J. Sci. Eng, 10(1), pp.103-112.
CopyAbdulkarim SJ, Saeed NM. STATICAL NONLINEAR ANALYSIS OF SPHERICAL ASSEMBLIES UTILIZING PADE APPROXIMATION. Eurasian J. Sci. Eng. 2024; 10(1):103-112.
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