Abstract
The deployable composite cylindrical thin-walled (DCCTW) hinges have application prospects as deployable structures of satellite and solar array, but the mechanical characteristics of the DCCTW hinges have not been considered comprehensively. Taking progressive damage into consideration, the mechanical properties of DCCTW hinges have been reassessed, and a new optimal design method is presented in this paper. Firstly, a simplified model of DCCTW hinge was established. Both analytical and numerical analyses of the simplified model have been conducted. Secondly, the finite element (FE) method has been used to analyze the folding and torsional behavior of DCCTW hinge based on progressive damage theory. Thirdly, design of experiment (DOE) has been carried out using optimal Latin hypercube sampling method. The surrogate model has been established based on the DOE process and elliptical basis functions (EBF). Sensitivity analysis of mass, peak moment of folding, torsional failure angle, and peak moment of torsion have been conducted. Lastly, considering lightweight, the higher peak moment of folding and torsion, the optimization was implemented by multi-objective particle swarm optimization (MOPSO) algorithm, two different optimal designs of DCCTW hinge have been obtained at the same time. The maximum relative error between FE analysis results and optimal design results with the surrogate model is 7.46%, which also reflects the accuracy of the surrogate model. The proposed optimization method can be applied to optimize other composite flexible hinges in consideration of progressive damage.
Similar content being viewed by others
References
Azarov AV (2013) Theory of composite grid shells. Mechanics of Solids 48(1):57–67
Azzi VD, Tsai SW (1965) Anisotropic strength of composites. Exp Mech 5(9):283–288
Bogenfeld R, Kreikemeier J (2017) A tensorial based progressive damage model for fiber reinforced polymers. Compos Struct 168:608–618
Chang FK, Chang KY (1987) A progressive damage model for laminated composites containing stress-concentrations. J Compos Mater 21(9):834–855
Dewalque F, Schwartz C, Denoël V, Croisier J-L, Forthomme B, Brüls O (2018) Experimental and numerical investigation of the nonlinear dynamics of compliant mechanisms for deployable structures. Mech Syst Signal Process 101:1–25
Forrester AIJ, Keane AJ (2009) Recent advances in surrogate-based optimization. Prog Aerosp Sci 45(1–3):50–79
Gliszczynski A, Kubiak T (2017) Progressive failure analysis of thin-walled composite columns subjected to uniaxial compression. Compos Struct 169:52–61
Hashin Z (1981) Fatigue failure criteria for unidirectional fiber composites. J Appl Mech 48(4):846
Hashin Z, Rotem A (1973) A fatigue failure criterion for fiber reinforced materials. J Compos Mater 7(4):448–464
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):147–167
Kim K-W, Park Y (2015) Solar array deployment analysis considering path-dependent behavior of a tape spring hinge. J Mech Sci Technol 29(5):1921–1929
Lapczyk I, Hurtado JA (2007) Progressive damage modeling in fiber-reinforced materials. Compos Part a-Appl Scie Manuf 38(11):2333–2341
Li Y, Zhang W, Yang ZW, Zhang JY, Tao SJ (2016) Low-velocity impact damage characterization of carbon fiber reinforced polymer (CFRP) using infrared thermography. Infrared Phys Technol 76:91–102
Li X, Ma DY, Liu HF, Tan W, Gong XJ, Zhang C, Li YL (2019) Assessment of failure criteria and damage evolution methods for composite laminates under low-velocity impact. Compos Struct 207:727–739
Liu PF, Zheng JY (2010) Recent developments on damage modeling and finite element analysis for composite laminates: a review. Mater Des 31(8):3825–3834
Liu PF, Liao BB, Jia LY, Peng XQ (2016) Finite element analysis of dynamic progressive failure of carbon fiber composite laminates under low velocity impact. Compos Struct 149:408–422
Loh WL (1996) On Latin hypercube sampling. Ann Stat 24(5):2058–2080
Lv Z, Qiu Z, Yang W, Shi Q (2018) Transient thermal analysis of thin-walled space structures with material uncertainties subjected to solar heat flux. Thin-Walled Struct 130:262–272
Mallikarachchi H, Pellegrino S (2014) Design of ultrathin composite self-deployable booms. J Spacecr Rocket 51(6):1811–1821
Mansfield EH (1973) Large deflexion torsion and flexure of initially curved strips. Proc R Soc London Ser a-Math Phys Sci 334(1598):279–298
Mobrem M, Adams DS (2009) Deployment analysis of the lenticular jointed antennas onboard the mars express spacecraft. J Spacecr Rockets 46(2):394–402
Namdar O, Darendeliler H (2017) Buckling, postbuckling and progressive failure analyses of composite laminated plates under compressive loading. Compos Part B-Eng 120:143–151
Oberst S, Tuttle S (2018) Nonlinear dynamics of thin-walled elastic structures for applications in space. Mech Syst Signal Process 110:469–484
Oberst S, Tuttle SL, Griffin D, Lambert A, Boyce RR (2018) Experimental validation of tape springs to be used as thin-walled space structures. J Sound Vib 419:558–570
Puck A, Schurmann H (1998) Failure analysis of FRP laminates by means of physically based phenomenological models. Compos Sci Technol 58(7):1045–1067
Richardson MOW, Wisheart MJ (1996) Review of low-velocity impact properties of composite materials. Compos Part a-Appl Sci Manuf 27(12):1123–1131
Seffen KA, You Z, Pellegrino S (2000) Folding and deployment of curved tape springs. Int J Mech Sci 42(10):2055–2073
Soykasap, Ö. (2009, Jul). Deployment analysis of a self-deployable composite boom. Compos Struct, 3, pp374–381
Suprayitno Y, Yu JC (2019) Evolutionary reliable regional Kriging surrogate for expensive optimization. Eng Optim 51(2):247–264
Tsai SW, Wu EM (1971) A general theory of strength for anisotropic materials. J Compos Mater 5(1):58–80
Yang H, Deng Z, Liu R, Wang Y, Guo H (2014) Optimizing the qusai-static folding and deploying of thin-walled tube flexure hinges with double slots. Chin J Mech Eng 27(2):279–286
Yang H, Liu RQ, Wang Y, Deng ZQ, Guo HW (2015) Experiment and multiobjective optimization design of tape-spring hinges. Struct Multidiscip Optim 51(6):1373–1384
Yang H, Guo H, Wang Y, Liu R, Li M (2018) Design and experiment of triangular prism mast with tape-spring hyperelastic hinges. Chin J Mech Eng 31(2):33
Yang H, Liu L, Guo HW, Lu FS, Liu YB (2019) Wrapping dynamic analysis and optimization of deployable composite triangular rollable and collapsible booms. Struct Multidiscip Optim 59(4):1371–1383
Yao XF, Ma YJ, Yin YJ, Fang DN (2011) Design theory and dynamic mechanical characterization of the deployable composite tube hinge. Sci China-Phys Mech Astron 54(4):633–639
Ye H, Zhang Y, Yang Q, Xiao Y, Grandhi RV, Fischer CC (2017) Optimal design of a three tape-spring hinge deployable space structure using an experimentally validated physics-based model. Struct Multidiscip Optim 56(5):973–989
Zhang JY, Zhou LW, Chen YL, Zhao LB, Fei BJ (2016) A micromechanics-based degradation model for composite progressive damage analysis. J Compos Mater 50(16):2271–2287
Zhou S, Yang CZ, Tian K, Wang DP, Sun Y, Guo LC, Zhang JH (2019) Progressive failure modelling of double-lap of composite bolted joints based on Puck’s criterion. Eng Fract Mech 206:233–249
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Additional information
Responsible Editor: Fred van Keulen
Publisher’s note
Springer Nature remains neutral withregard to jurisdictional claims in published mapsand institutional affiliations.
Electronic supplementary material
ESM 1
(DOCX 558 kb)
Rights and permissions
About this article
Cite this article
Su, L., Zhang, Y. & Sun, B. Multi-objective optimization of deployable composite cylindrical thin-walled hinges with progressive damage. Struct Multidisc Optim 61, 803–817 (2020). https://doi.org/10.1007/s00158-019-02377-6
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00158-019-02377-6