Using Minimum Actuators to Control Shape and Stress of a Double Layer Spherical Model Under Gravity and Lateral Loadings
Spherical domes are picturesque structures built in developed countries to attract tourists. Due to horizontal and vertical overloading, the structures’ attractive shapes may be disturbed, and some members' stress may exceed the elastic level. In this paper, the shape and stress of a deformed d...
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Lublin University of Technology
2022-12-01
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Series: | Advances in Sciences and Technology |
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author | Najmadeen Saeed Javad Katebi Ahmed Manguri Aram Mahmood Marcin Szczepanski Robert Jankowski |
author_facet | Najmadeen Saeed Javad Katebi Ahmed Manguri Aram Mahmood Marcin Szczepanski Robert Jankowski |
author_sort | Najmadeen Saeed |
collection | DOAJ |
description | Spherical domes are picturesque structures built in developed countries to attract tourists. Due to horizontal and vertical overloading, the structures’ attractive shapes may be disturbed, and some members' stress may exceed the elastic level. In this paper, the shape and stress of a deformed double-layer spherical numerical model due to simultaneous lateral and vertical loadings are controlled, meanwhile, the number of actuators to alter the length of active members is minimized. The nodal displacements of the outer shape of the numerical model of the double-layer spherical structure are nullified. In addition, the stress of the members of the structure was monitored to stay within the elastic level. Moreover, the number of used actuators was minimized. These objectives are done by subjecting controlling formulations to a function that finds the minimum of constrained nonlinear multivariable which is called fmincon. The defined function in MATLAB uses one of the optimization algorithms (sequential quadratic programming, interior point, trust-region reflective, and active set). The algorithms search for active members that have a significant influence in controlling the targeted joints and members. Furthermore, the algorithms exclude the inactive actuators in several loops. The results obtained from MATLAB program are validated by SAP2000 software. |
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institution | Directory Open Access Journal |
issn | 2080-4075 2299-8624 |
language | English |
last_indexed | 2024-04-12T05:16:57Z |
publishDate | 2022-12-01 |
publisher | Lublin University of Technology |
record_format | Article |
series | Advances in Sciences and Technology |
spelling | doaj.art-849481682904412c830b2a45eaafa8bd2022-12-22T03:46:36ZengLublin University of TechnologyAdvances in Sciences and Technology2080-40752299-86242022-12-0116611310.12913/22998624/155214155214Using Minimum Actuators to Control Shape and Stress of a Double Layer Spherical Model Under Gravity and Lateral LoadingsNajmadeen Saeed0https://orcid.org/0000-0001-7074-0256Javad Katebi1https://orcid.org/0000-0002-6893-4526Ahmed Manguri2https://orcid.org/0000-0002-3789-0006Aram Mahmood3https://orcid.org/0000-0001-9688-4311Marcin Szczepanski4https://orcid.org/0000-0001-6049-2391Robert Jankowski5https://orcid.org/0000-0002-6741-115XCivil Engineering Department, University of Raparin, Rania, Kurdistan Region, IraqFaculty of Civil Engineering, University of Tabriz, Tabriz, IranCivil Engineering Department, University of Raparin, Rania, Kurdistan Region, IraqFaculty of Civil Engineering, University of Tabriz, Tabriz, IranFaculty of Civil and Environmental Engineering, Gdansk University of Technology, Gabriela Narutowicza 11/12, 80-233 Gdansk, PolandFaculty of Civil and Environmental Engineering, Gdansk University of Technology, Gabriela Narutowicza 11/12, 80-233 Gdansk, PolandSpherical domes are picturesque structures built in developed countries to attract tourists. Due to horizontal and vertical overloading, the structures’ attractive shapes may be disturbed, and some members' stress may exceed the elastic level. In this paper, the shape and stress of a deformed double-layer spherical numerical model due to simultaneous lateral and vertical loadings are controlled, meanwhile, the number of actuators to alter the length of active members is minimized. The nodal displacements of the outer shape of the numerical model of the double-layer spherical structure are nullified. In addition, the stress of the members of the structure was monitored to stay within the elastic level. Moreover, the number of used actuators was minimized. These objectives are done by subjecting controlling formulations to a function that finds the minimum of constrained nonlinear multivariable which is called fmincon. The defined function in MATLAB uses one of the optimization algorithms (sequential quadratic programming, interior point, trust-region reflective, and active set). The algorithms search for active members that have a significant influence in controlling the targeted joints and members. Furthermore, the algorithms exclude the inactive actuators in several loops. The results obtained from MATLAB program are validated by SAP2000 software.http://www.astrj.com/Using-Minimum-Actuators-to-Control-Shape-and-Stress-of-a-Double-Layer-Spherical-Model,155214,0,2.htmlspherical structuresdouble layer structuresactuatorsshape and stress controloptimizationfmincon function |
spellingShingle | Najmadeen Saeed Javad Katebi Ahmed Manguri Aram Mahmood Marcin Szczepanski Robert Jankowski Using Minimum Actuators to Control Shape and Stress of a Double Layer Spherical Model Under Gravity and Lateral Loadings Advances in Sciences and Technology spherical structures double layer structures actuators shape and stress control optimization fmincon function |
title | Using Minimum Actuators to Control Shape and Stress of a Double Layer Spherical Model Under Gravity and Lateral Loadings |
title_full | Using Minimum Actuators to Control Shape and Stress of a Double Layer Spherical Model Under Gravity and Lateral Loadings |
title_fullStr | Using Minimum Actuators to Control Shape and Stress of a Double Layer Spherical Model Under Gravity and Lateral Loadings |
title_full_unstemmed | Using Minimum Actuators to Control Shape and Stress of a Double Layer Spherical Model Under Gravity and Lateral Loadings |
title_short | Using Minimum Actuators to Control Shape and Stress of a Double Layer Spherical Model Under Gravity and Lateral Loadings |
title_sort | using minimum actuators to control shape and stress of a double layer spherical model under gravity and lateral loadings |
topic | spherical structures double layer structures actuators shape and stress control optimization fmincon function |
url | http://www.astrj.com/Using-Minimum-Actuators-to-Control-Shape-and-Stress-of-a-Double-Layer-Spherical-Model,155214,0,2.html |
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