Trade-off analysis for structural design of high-precision space reflector using multiobjective optimization method

This study investigates the robustness of a space reflector structure consisting of radial ribs and hoop cables by using the multiobjective optimization method. The radial ribs are deformed into a parabola shape by cable tensions applied to the hoop cables that are arranged concentrically around the...

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Autores principales:	Ryo KODAMA, Nozomu KOGISO, Masahiro TOYODA, Hiroaki TANAKA
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2015
Materias:	high-precision space structure uncertainty multiobjective optimization satisficing trade-off method structural design verification trade-off analysis nonlinear finite element method Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/ff28ec48e646407ca203595a6d23a909
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spelling	oai:doaj.org-article:ff28ec48e646407ca203595a6d23a9092021-11-26T06:27:49ZTrade-off analysis for structural design of high-precision space reflector using multiobjective optimization method2187-974510.1299/mej.15-00058https://doaj.org/article/ff28ec48e646407ca203595a6d23a9092015-07-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/2/4/2_15-00058/_pdf/-char/enhttps://doaj.org/toc/2187-9745This study investigates the robustness of a space reflector structure consisting of radial ribs and hoop cables by using the multiobjective optimization method. The radial ribs are deformed into a parabola shape by cable tensions applied to the hoop cables that are arranged concentrically around the central hub and to the tie cables that are connected to the deployable structure. The design problem is to achieve the ideal deformation shape for the radial rib under the prescribed cable tensions through the determination of the rib height distribution. In addition, the ability to adjust the shape by changing the cable tension is required for handling uncertainty under actual environment condition. A simplified structural model with only one radial rib is used for structural design, where the cables are replaced by equivalent tensions. This study adopts the multiobjective optimization method to verify the structural design by investigating the trade-off between the deformation error and its sensitivity with respect to the cable tensions. Robustness corresponds to lower value of sensitivity, that the RMS error is difficult to deteriorate by changing the cable tension. On the other hand, design with higher value of sensitivity is called adjustability, because such a design is easy to adjust the deformation shape by the cable tension. The primary objective of the design problem is to minimize the RMS error between the ideal and the deformation shape of the rib under the prescribed cable tension in terms of the rib dimensions. The other two objectives are to accomplish the robustness and the adjustability of the rib deformation shape by adjusting the cable tension using the tie cable and the outermost hoop cable. This multiobjective optimization problem is evaluated by the satisficing trade-off method (STOM). Through investigating Pareto solutions obtained from the two-objective and then the three-objective function problems, the effects of cable tension variations on the surface shape error and the robustness are discussed.Ryo KODAMANozomu KOGISOMasahiro TOYODAHiroaki TANAKAThe Japan Society of Mechanical Engineersarticlehigh-precision space structureuncertaintymultiobjective optimizationsatisficing trade-off methodstructural design verificationtrade-off analysisnonlinear finite element methodMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 2, Iss 4, Pp 15-00058-15-00058 (2015)
institution	DOAJ
collection	DOAJ
language	EN
topic	high-precision space structure uncertainty multiobjective optimization satisficing trade-off method structural design verification trade-off analysis nonlinear finite element method Mechanical engineering and machinery TJ1-1570
spellingShingle	high-precision space structure uncertainty multiobjective optimization satisficing trade-off method structural design verification trade-off analysis nonlinear finite element method Mechanical engineering and machinery TJ1-1570 Ryo KODAMA Nozomu KOGISO Masahiro TOYODA Hiroaki TANAKA Trade-off analysis for structural design of high-precision space reflector using multiobjective optimization method
description	This study investigates the robustness of a space reflector structure consisting of radial ribs and hoop cables by using the multiobjective optimization method. The radial ribs are deformed into a parabola shape by cable tensions applied to the hoop cables that are arranged concentrically around the central hub and to the tie cables that are connected to the deployable structure. The design problem is to achieve the ideal deformation shape for the radial rib under the prescribed cable tensions through the determination of the rib height distribution. In addition, the ability to adjust the shape by changing the cable tension is required for handling uncertainty under actual environment condition. A simplified structural model with only one radial rib is used for structural design, where the cables are replaced by equivalent tensions. This study adopts the multiobjective optimization method to verify the structural design by investigating the trade-off between the deformation error and its sensitivity with respect to the cable tensions. Robustness corresponds to lower value of sensitivity, that the RMS error is difficult to deteriorate by changing the cable tension. On the other hand, design with higher value of sensitivity is called adjustability, because such a design is easy to adjust the deformation shape by the cable tension. The primary objective of the design problem is to minimize the RMS error between the ideal and the deformation shape of the rib under the prescribed cable tension in terms of the rib dimensions. The other two objectives are to accomplish the robustness and the adjustability of the rib deformation shape by adjusting the cable tension using the tie cable and the outermost hoop cable. This multiobjective optimization problem is evaluated by the satisficing trade-off method (STOM). Through investigating Pareto solutions obtained from the two-objective and then the three-objective function problems, the effects of cable tension variations on the surface shape error and the robustness are discussed.
format	article
author	Ryo KODAMA Nozomu KOGISO Masahiro TOYODA Hiroaki TANAKA
author_facet	Ryo KODAMA Nozomu KOGISO Masahiro TOYODA Hiroaki TANAKA
author_sort	Ryo KODAMA
title	Trade-off analysis for structural design of high-precision space reflector using multiobjective optimization method
title_short	Trade-off analysis for structural design of high-precision space reflector using multiobjective optimization method
title_full	Trade-off analysis for structural design of high-precision space reflector using multiobjective optimization method
title_fullStr	Trade-off analysis for structural design of high-precision space reflector using multiobjective optimization method
title_full_unstemmed	Trade-off analysis for structural design of high-precision space reflector using multiobjective optimization method
title_sort	trade-off analysis for structural design of high-precision space reflector using multiobjective optimization method
publisher	The Japan Society of Mechanical Engineers
publishDate	2015
url	https://doaj.org/article/ff28ec48e646407ca203595a6d23a909
work_keys_str_mv	AT ryokodama tradeoffanalysisforstructuraldesignofhighprecisionspacereflectorusingmultiobjectiveoptimizationmethod AT nozomukogiso tradeoffanalysisforstructuraldesignofhighprecisionspacereflectorusingmultiobjectiveoptimizationmethod AT masahirotoyoda tradeoffanalysisforstructuraldesignofhighprecisionspacereflectorusingmultiobjectiveoptimizationmethod AT hiroakitanaka tradeoffanalysisforstructuraldesignofhighprecisionspacereflectorusingmultiobjectiveoptimizationmethod
_version_	1718409820572221440

Trade-off analysis for structural design of high-precision space reflector using multiobjective optimization method

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