Practical optimization of deployable and scissor-like structures using a fast GA method

doi:10.1007/s11709-018-0497-z

Front. Struct. Civ. Eng.

2019, Vol. 13

Issue (3) : 557-568 https://doi.org/10.1007/s11709-018-0497-z

RESEARCH ARTICLE

Practical optimization of deployable and scissor-like structures using a fast GA method

M. SALAR¹, M. R. GHASEMI¹(

), B. DIZANGIAN²

¹. Department of Civil Engineering, University of Sistan and Baluchestan, Zahedan, Iran
². Department of Civil Engineering, Velayat University, Iranshahr, Iran

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Abstract

This paper addresses practical sizing optimization of deployable and scissor-like structures from a new point of view. These structures have been recently highly regarded for beauty, lightweight, determine behavior, proper performance against lateral loads and the ability of been compactly packaged. At this time, there is a few studies done considering practical optimization of these structures. Loading considered here includes wind and gravity loads. In foldable scissor-like structures, connections have a complex behavior. For this reason, in this study, the authors used the ABAQUS commercial package as an analyzer in the optimization procedure. This made the obtained optimal solutions highly reliable from the point of view of applicability and construction requirements. Also, to do optimization task, a fast genetic algorithm method, which has been recently introduced by authors, was utilized. Optimization results show that despite less weight for aluminum models than steel models, aluminum deployable structures are not affordable because they need more material than steel structures and cause more environmental damage.

Keywords optimization scissor-like structures deployable structures genetic algorithm ABAQUS

Corresponding Author(s): M. R. GHASEMI

Just Accepted Date: 13 June 2018 Online First Date: 30 July 2018 Issue Date: 05 June 2019

Cite this article:

M. SALAR,M. R. GHASEMI,B. DIZANGIAN. Practical optimization of deployable and scissor-like structures using a fast GA method[J]. Front. Struct. Civ. Eng., 2019, 13(3): 557-568.

URL:

https://academic.hep.com.cn/fsce/EN/10.1007/s11709-018-0497-z
https://academic.hep.com.cn/fsce/EN/Y2019/V13/I3/557

Fig.1 Zeigler’s collapsible dome and a basic unit [¹]

Fig.2 Geometric shapes designed by Escrig [¹²]

Fig.3 Selection operator for proposed method [²⁸]

Fig.4 Hinge properties for scissor elements

Fig.5 Join properties for joint connection

Fig.6 Successive deformed configurations during deployment of a pentagonal unit

Fig.7 Flowchart of modelling and optimization of deployable structures

Fig.8 Elements cross-section

Tab.1 Discrete section lists for design of examples

material	modulus of elasticity (N/m²)	density (kg/m³)	yield stress (MPa)
steel	$2 × 1011$	7850	235
aluminum	$69 × 109$	2700	276

Tab.2 Material properties for design of examples

Tab.3 The proposed GA properties

Fig.9 Group numbers of the foldable double layer

Fig.10 The convergence history of the foldable double layer with steel material

Fig.11 The convergence history of the foldable double layer with aluminium material

Tab.4 Optimization results for a foldable double layer

Fig.12 Group numbers of the foldable barrel vault (Case 1)

Fig.13 Group numbers of the foldable barrel vault (Case 2)

Fig.14 The convergence history of the foldable barrel vault with steel material (Case 1)

Fig.15 The convergence history of the foldable barrel vault with aluminium material (Case 1)

Tab.5 Optimization results for a foldable barrel vault (Case 1)

Fig.16 The convergence history of the foldable barrel vault with steel material (Case 2)

Fig.17 The convergence history of the foldable barrel vault with aluminium material (Case 2)

Tab.6 Optimization results for a foldable barrel vault (Case 2)

Fig.18 The deployable dome with scissor-hinge elements

Fig.19 Characteristic units for geometric design of deployable scissor-like dome

Fig.20 The convergence history of the foldable dome with steel material

Fig.21 The convergence history of the foldable dome with aluminium material

Tab.7 Optimization results for a scissor-like dome

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