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...

Full description

Bibliographic Details
Main Authors: Najmadeen Saeed, Javad Katebi, Ahmed Manguri, Aram Mahmood, Marcin Szczepanski, Robert Jankowski
Format: Article
Language:English
Published: Lublin University of Technology 2022-12-01
Series:Advances in Sciences and Technology
Subjects:
Online Access:http://www.astrj.com/Using-Minimum-Actuators-to-Control-Shape-and-Stress-of-a-Double-Layer-Spherical-Model,155214,0,2.html
_version_ 1811211730883182592
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.
first_indexed 2024-04-12T05:16:57Z
format Article
id doaj.art-849481682904412c830b2a45eaafa8bd
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
work_keys_str_mv AT najmadeensaeed usingminimumactuatorstocontrolshapeandstressofadoublelayersphericalmodelundergravityandlateralloadings
AT javadkatebi usingminimumactuatorstocontrolshapeandstressofadoublelayersphericalmodelundergravityandlateralloadings
AT ahmedmanguri usingminimumactuatorstocontrolshapeandstressofadoublelayersphericalmodelundergravityandlateralloadings
AT arammahmood usingminimumactuatorstocontrolshapeandstressofadoublelayersphericalmodelundergravityandlateralloadings
AT marcinszczepanski usingminimumactuatorstocontrolshapeandstressofadoublelayersphericalmodelundergravityandlateralloadings
AT robertjankowski usingminimumactuatorstocontrolshapeandstressofadoublelayersphericalmodelundergravityandlateralloadings