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Published in: Structural and Multidisciplinary Optimization 5/2017

18-09-2017 | RESEARCH PAPER

Optimal design of a three tape-spring hinge deployable space structure using an experimentally validated physics-based model

Authors: Hongling Ye, Yang Zhang, Qingsheng Yang, Yanni Xiao, Ramana V. Grandhi, Christopher C. Fischer

Published in: Structural and Multidisciplinary Optimization | Issue 5/2017

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Abstract

An optimal design approach is developed for a self-driven, self-locking tape-spring under a pure bending load in deployable space structures. A novel hinge with three tape springs is investigated and designed via an optimization process. Firstly, we investigate the steady-state moment and maximum stress of the hinge during deploying and folding processes using physics-based simulations. Experimental analyses are then conducted to verify the physics-based simulation results. Secondly, a parametric analysis is carried out to prove that both the tape spring thickness and subtended angle have significant effect on steady-state moment. A Response Surface Methodology (RSM) is employed to define an optimal surrogate model aimed at maximizing the steady-state moment, subjected to allowable stress. Finally, the Large Scale Generalized Reduced Gradient (LSGRG) optimization algorithm is used to solve the optimal design problem. Optimization results show that steady-state moment is increased by 19.5% while satisfying a maximum stress constraint. The proposed method is promising for designing novel deployable structures with high stability and reliability.

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Literature
go back to reference Bourgeois S, Cochelin B, Guinot F, Picault E (2012) Buckling analysis of tape-springs using a rod model with flexible cross-sections. European Journal of Computational Mechanics/Revue Européenne de Mécanique Numérique 21(3–6):184–194MATH Bourgeois S, Cochelin B, Guinot F, Picault E (2012) Buckling analysis of tape-springs using a rod model with flexible cross-sections. European Journal of Computational Mechanics/Revue Européenne de Mécanique Numérique 21(3–6):184–194MATH
go back to reference Box GEP, Wilson KB (1951) On the experimental attainment of optimum conditions. J R Stat Soc 13(1):1–45MathSciNetMATH Box GEP, Wilson KB (1951) On the experimental attainment of optimum conditions. J R Stat Soc 13(1):1–45MathSciNetMATH
go back to reference Dewalque F, Rochus P, Brüls O (2015) Importance of structural damping in the dynamic analysis of compliant deployable structures. Acta Astronaut. 111:323–333CrossRef Dewalque F, Rochus P, Brüls O (2015) Importance of structural damping in the dynamic analysis of compliant deployable structures. Acta Astronaut. 111:323–333CrossRef
go back to reference Dewalque F, Collette JP, Brüls O (2016) Mechanical behaviour of tape-springs used in the deployment of reflectors around a solar panel. Acta Astronaut. 123:271–282CrossRef Dewalque F, Collette JP, Brüls O (2016) Mechanical behaviour of tape-springs used in the deployment of reflectors around a solar panel. Acta Astronaut. 123:271–282CrossRef
go back to reference Guinot F, Bourgeois S, Cochelin B, Blanchard L (2012) A planar rod model with flexible thin-walled cross-sections. Application to the folding of tape-springs. Int J Solids Struct 49(1):73–86CrossRef Guinot F, Bourgeois S, Cochelin B, Blanchard L (2012) A planar rod model with flexible thin-walled cross-sections. Application to the folding of tape-springs. Int J Solids Struct 49(1):73–86CrossRef
go back to reference Guo HW, Zhang J, Liu RQ, Deng ZQ (2013) Effects of joint on dynamics of space deployable structure. Chinese Journal of Mechanical Engineering 26(5):861–872CrossRef Guo HW, Zhang J, Liu RQ, Deng ZQ (2013) Effects of joint on dynamics of space deployable structure. Chinese Journal of Mechanical Engineering 26(5):861–872CrossRef
go back to reference Hoffait S, Brüls O, Granville D, Cugnon F, Kerschen G (2010) Dynamic analysis of the self-locking phenomenon in tape-spring hinges. Acta Astronaut. 66(7–8):1125–1132CrossRef Hoffait S, Brüls O, Granville D, Cugnon F, Kerschen G (2010) Dynamic analysis of the self-locking phenomenon in tape-spring hinges. Acta Astronaut. 66(7–8):1125–1132CrossRef
go back to reference Hou SJ, Dong D, Ren LL, Han X (2012) Multivariable crashworthiness optimization of vehicle body by unreplicated saturated factorial design. Struct Multidiscip Optim 46(6):891–905CrossRef Hou SJ, Dong D, Ren LL, Han X (2012) Multivariable crashworthiness optimization of vehicle body by unreplicated saturated factorial design. Struct Multidiscip Optim 46(6):891–905CrossRef
go back to reference Hou SJ, Liu TY, Dong D, Han X (2014) Factor screening and multivariable crashworthiness optimization for vehicle side impact by factorial design. Struct Multidiscip Optim 49(1):147–167CrossRef Hou SJ, Liu TY, Dong D, Han X (2014) Factor screening and multivariable crashworthiness optimization for vehicle side impact by factorial design. Struct Multidiscip Optim 49(1):147–167CrossRef
go back to reference Ju WJ, Yoo YI, Lee JJ, Lim JH, Kim W (2012) Development of a tape spring hinge with a SMA latch for a satellite solar array deployment using the independence axiom. Ieri Procedia 1(1):225–231 Ju WJ, Yoo YI, Lee JJ, Lim JH, Kim W (2012) Development of a tape spring hinge with a SMA latch for a satellite solar array deployment using the independence axiom. Ieri Procedia 1(1):225–231
go back to reference Kim KW, Park Y (2015) Systematic design of tape spring hinges for solar array by optimization method considering deployment performances. Aerosp Sci Technol 46:124–136CrossRef Kim KW, Park Y (2015) Systematic design of tape spring hinges for solar array by optimization method considering deployment performances. Aerosp Sci Technol 46:124–136CrossRef
go back to reference Li M, Deng ZQ, Liu RQ, Guo HW (2011) Crashworthiness design optimization of metal honeycomb energy absorber used in lunar lander. Int. J. Crashworthiness 16(4):411–419CrossRef Li M, Deng ZQ, Liu RQ, Guo HW (2011) Crashworthiness design optimization of metal honeycomb energy absorber used in lunar lander. Int. J. Crashworthiness 16(4):411–419CrossRef
go back to reference Li M, Deng ZQ, Guo HW, Liu RQ, Ding BC (2013) Crashworthiness analysis on alternative square honeycomb structure under axial loading. Chinese Journal of Mechanical Engineering 26(4):784–792CrossRef Li M, Deng ZQ, Guo HW, Liu RQ, Ding BC (2013) Crashworthiness analysis on alternative square honeycomb structure under axial loading. Chinese Journal of Mechanical Engineering 26(4):784–792CrossRef
go back to reference Liu YH, Day ML (2008) Bending collapse of thin-walled circular tubes and computational application. Thin-Walled Struct. 46(4):442–450CrossRef Liu YH, Day ML (2008) Bending collapse of thin-walled circular tubes and computational application. Thin-Walled Struct. 46(4):442–450CrossRef
go back to reference Mallikarachchi HMYC, Pellegrino S (2011) Quasi-static folding and deployment of ultrathin composite tape-spring hinges. J Spacecr Rocket 48(1):187–198CrossRef Mallikarachchi HMYC, Pellegrino S (2011) Quasi-static folding and deployment of ultrathin composite tape-spring hinges. J Spacecr Rocket 48(1):187–198CrossRef
go back to reference Mansfield EH (1973) Large-deflexion torsion and flexure of initially curved strips. Proceedings of the Royal Society A Mathematical Physical & Engineering Sciences 334(1598):279–298CrossRefMATH Mansfield EH (1973) Large-deflexion torsion and flexure of initially curved strips. Proceedings of the Royal Society A Mathematical Physical & Engineering Sciences 334(1598):279–298CrossRefMATH
go back to reference Qi C, Yang S, Dong FL (2012) Crushing analysis and multiobjective crashworthiness optimization of tapered square tubes under oblique impact loading. Thin-Walled Struct. 59:103–119CrossRef Qi C, Yang S, Dong FL (2012) Crushing analysis and multiobjective crashworthiness optimization of tapered square tubes under oblique impact loading. Thin-Walled Struct. 59:103–119CrossRef
go back to reference Santer M (2010) Actuated bistable jumping structures. J Appl Mech 77(3):031009CrossRef Santer M (2010) Actuated bistable jumping structures. J Appl Mech 77(3):031009CrossRef
go back to reference Seffen KA, You Z, Pellegrino S (2000) Folding and deployment of curved tape-springs. Int J Mech Sci 42(10):2055–2073CrossRefMATH Seffen KA, You Z, Pellegrino S (2000) Folding and deployment of curved tape-springs. Int J Mech Sci 42(10):2055–2073CrossRefMATH
go back to reference Sicre J, Givois D (2005) Application of "maeva" hinge to myriade microsatellites deployments needs. Proceedings of European Space Mechanisms & Tribology Symposium, 243–250 Sicre J, Givois D (2005) Application of "maeva" hinge to myriade microsatellites deployments needs. Proceedings of European Space Mechanisms & Tribology Symposium, 243–250
go back to reference Soykasap O (2007) Analysis of tape spring hinges. Int J Mech Sci 49(7):853–860CrossRef Soykasap O (2007) Analysis of tape spring hinges. Int J Mech Sci 49(7):853–860CrossRef
go back to reference Soykasap O (2009) Deployment analysis of a self-deployable composite boom. Compos Struct 89(3):374–381CrossRef Soykasap O (2009) Deployment analysis of a self-deployable composite boom. Compos Struct 89(3):374–381CrossRef
go back to reference Sui YK, Yu HP (2011) Improvement of response surface method and its application to engineering optimization. Science Press, Beijing (in Chinese) Sui YK, Yu HP (2011) Improvement of response surface method and its application to engineering optimization. Science Press, Beijing (in Chinese)
go back to reference Walker SJI, Aglietti GS (2004) Study of the dynamics of three-dimensional tape spring folds. AIAA J 42(4):850–856CrossRef Walker SJI, Aglietti GS (2004) Study of the dynamics of three-dimensional tape spring folds. AIAA J 42(4):850–856CrossRef
go back to reference Walker SJI, Aglietti GS (2006) Experimental investigation of tape-springs folded in three dimensions. AIAA J 44(1):151–159CrossRef Walker SJI, Aglietti GS (2006) Experimental investigation of tape-springs folded in three dimensions. AIAA J 44(1):151–159CrossRef
go back to reference Wang Y, Sui SL (2012) Experimental design and MATLAB data analysis. Tsinghua university press, Beijing (in Chinese) Wang Y, Sui SL (2012) Experimental design and MATLAB data analysis. Tsinghua university press, Beijing (in Chinese)
go back to reference Wuest W (1954) Einige anwendungen der theorie der zylinderschale. zamm. Journal of Applied Mathematics & Mechanics Zeitschrift Für Angewandte Mathematik Und Mechanik 34(12):444–454MathSciNetCrossRefMATH Wuest W (1954) Einige anwendungen der theorie der zylinderschale. zamm. Journal of Applied Mathematics & Mechanics Zeitschrift Für Angewandte Mathematik Und Mechanik 34(12):444–454MathSciNetCrossRefMATH
go back to reference Yang H, Deng ZQ, Liu RQ, Wang Y, Guo HW (2014) Optimizing the quasi-static folding and deploying of thin-walled tube flexure hinges with double slots. Chinese Journal of Mechanical Engineering 27(2):279–286CrossRef Yang H, Deng ZQ, Liu RQ, Wang Y, Guo HW (2014) Optimizing the quasi-static folding and deploying of thin-walled tube flexure hinges with double slots. Chinese Journal of Mechanical Engineering 27(2):279–286CrossRef
go back to reference Yang H, Liu RQ, Wang Y, Deng ZQ, Guo HW (2015) Experiment and multi-objective optimization design of tape-spring hinges. Struct Multidiscip Optim 51(6):1373–1384CrossRef Yang H, Liu RQ, Wang Y, Deng ZQ, Guo HW (2015) Experiment and multi-objective optimization design of tape-spring hinges. Struct Multidiscip Optim 51(6):1373–1384CrossRef
go back to reference Yee JC, Pellegrino S (2005) Composite tube hinges. J Aerosp Eng 18(4):224–231CrossRef Yee JC, Pellegrino S (2005) Composite tube hinges. J Aerosp Eng 18(4):224–231CrossRef
go back to reference Yin HF, Fang HB, Xiao YY, Wen GL, Qing QX (2015) Multi-objective robust optimization of foam-filled tapered multi-cell thin-walled structures. Struct Multidiscip Optim 52(6):1051–1067MathSciNetCrossRef Yin HF, Fang HB, Xiao YY, Wen GL, Qing QX (2015) Multi-objective robust optimization of foam-filled tapered multi-cell thin-walled structures. Struct Multidiscip Optim 52(6):1051–1067MathSciNetCrossRef
Metadata
Title
Optimal design of a three tape-spring hinge deployable space structure using an experimentally validated physics-based model
Authors
Hongling Ye
Yang Zhang
Qingsheng Yang
Yanni Xiao
Ramana V. Grandhi
Christopher C. Fischer
Publication date
18-09-2017
Publisher
Springer Berlin Heidelberg
Published in
Structural and Multidisciplinary Optimization / Issue 5/2017
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-017-1810-5

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