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[1] Tibert, G., Deployable Tensegrity Structures for Space Applications, Department of Mechanics, Royal Institute of Technology, 2002.
[2] Pellegrino, S., Deployable Structures, Wien: Springer, 2001.
[3] Hanaor, A. & Levy, R., Evaluation of deployable structures for space enclosures. Inter-national Journal of Space Structures, 16(4), pp. 211–229, 2001. [Crossref]
[4] Escrig, F. & Valcarcel, J.P., Geometry of expandable space bar structures. International Journal of Space Structures, 8(1/2), pp. 71–84, 1993.
[5] Piñero, E.P., Three dimensional reticular structure. U.S. Patent No. 3,185,164, 1965.
[6] Schenk, M. & Guest, S.D., Origami folding: A structural engineering approach. Ori-gami, 5, pp. 291–304, 2011. [Crossref]
[7] Tachi, T., Geometric considerations for the design of rigid origami structures. Proceed-ings of the International Association for Shell and Spatial Structures (IASS) Symposium 2010, Shanghai, pp. 458–460, 2010.
[8] Fuller, R.B., Tensile-integrity structures,” U.S. Patent No. 3,063,521, 1962.
[9] Motro, R., Tensegrity systems: the state of the art. International Journal of Space Struc-tures, 7(2), pp. 75–83, 1992, 1992.
[10] Otto, F., Convertible roofs. Institut for Leightweight Structures, Univ. Stuttgart, IL5, 1971.
[11] McLean, W. & Silver, P., Air Structures, Laurence King Publishing, 2015.
[12] Gantes, C.J., Deployable Structures: Analysis and Design, Southampton: WIT Press, 2001.
[13] You, Z., Sensitivity analysis based on the force method for deployable cable-stiffened structures. Engineering Optimization, 29(1–4), pp. 429–441, 1997. [Crossref]
[14] Gantes, C., Georgiou, P. & Koumousis, V., Optimum design of deployable structures using genetic algorithms. WIT Transactions on the Built Environment, 38, 1998.
[15] Kaveh, A. & Shojaee, S., Discrete-sizing optimal design of scissor-link foldable structures using genetic algorithm. Asian Journal of Civil Engineering (building and housing), 4(2–4), pp. 115–133, 2003. [Crossref]
[16] Kaveh, A. & Shojaee, S., Optimal design of scissor -link foldable structures using ant colony optimization algorithm. Computer- Aided Civil and Infrastructure Engineering, 22(1), pp. 56–64, 2007.
[17] Thrall, A.P., Zhu, M., Guest. J.K., et al., Structural optimization of deploying structures composed of linkages. Journal of Computing in Civil Engineering, 28(3), p. 04014010, 2012. [Crossref]
[18] Dai, L. & Guan, F.L., Shape-sizing nested optimization of deployable structures using SQP. Journal of Central South University, 21(7), pp. 2915–2920, 2014. [Crossref]
[19] Fest, E., Shea, K., Domer, B. & Smith, I.F.C., Adjustable tensegrity structures. Journal of Structural Engineering, 129(4), pp. 515–526, 2003. [Crossref]
[20] Buhl, T., Jensen, F.V. & Pellegrino, S., Shape optimization of cover plates for retract-able roof structures. Computers & Structures, 82(15), pp. 1227–1236, 2004. [Crossref]
[21] Ortega, N.F. & Robles, S.I., Optimization of a telescope movable support structure by means of volumetric displacements. Structural Engineering and Mechanics, 31(4), pp. 393–405, 2009. [Crossref]
[22] Fenci, G.E., Currie, N. & Weekes, L., Biomimetic approach for the creation of a deployable structure based on the blooming of the Morning Glory flower. In Interna-tional Association for Shell and Spatial Structures (IASS) Symposium, Future Visions, Amsterdam, 2015.
[23] Rutten, D., Grasshopper: generative modeling for Rhino (Computer software),” 2007.
[24] Preisinger, C., Linking structure and parametric geometry. Architectural Design, 83(2), pp. 110–113, 2013. [Crossref]
[25] Autodesk Inc, Autodesk Robot Structural Analysis 2016, 2015.
[26] Thornton Tomasetti. “Introducing the Brute Force Solver,” 5 August, 2016, available at: http://core.thorntontomasetti.com/introducing-the-brute-force-solver/
[27] Wolfram Research Inc., “Mathematica,” Version 10.0, Wolfram Research, Inc., 2014.
[28] Fenci, G.E. & Currie, N., Biomimetic approach for the creation of deployable canopies based on the unfolding of a beetle wing and the blooming of a flower. In Conference on Biomimetic and Biohybrid Systems, pp. 101–112, 2015. [Crossref]
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Open Access
Research article

Optimisation of the Deployment Sequence of 2 DoF Systems

G.E. Fenci,
N.G.R. Currie
Directorate of Civil Engineering, University of Salford, Salford, United Kingdom
International Journal of Computational Methods and Experimental Measurements
|
Volume 5, Issue 4, 2017
|
Pages 504-513
Received: N/A,
Revised: N/A,
Accepted: N/A,
Available online: N/A
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Abstract:

The methodology for the analysis of deployable structures with 2 degrees of freedom (DoF) and optimisation of the deployment sequence is proposed. A parametrically controlled geometry, based on the design of biomimetic deployable structures, is systematically cycled through all available combinations of deployment and analysed for the full range of available motion established by the two DoFs. In other words, structural analysis is carried out for all potential configurations for the 2 DoFs, which act independently from one another. The results are, then, automatically post-processed to give contour plots showing the change in performance criteria such as the force or moment that develops in the struc- ture during deployment. Knowing that the structure needs to deploy from the fully folded to the fully unfolded state, the generation of convex hull profiles allows the selection of the optimum path to reach the fully deployed state based on whatever the governing criteria is deemed to be, such as maximum deployment force, deflection, weight of structure, or in service stresses.

Keywords: brute force, convex hull, deployable structures, deployment sequence, optimisation
Data Availability

The data used to support the findings of this study are available from the corresponding author upon request.

Conflicts of Interest

The authors declare that they have no conflicts of interest.

References
[1] Tibert, G., Deployable Tensegrity Structures for Space Applications, Department of Mechanics, Royal Institute of Technology, 2002.
[2] Pellegrino, S., Deployable Structures, Wien: Springer, 2001.
[3] Hanaor, A. & Levy, R., Evaluation of deployable structures for space enclosures. Inter-national Journal of Space Structures, 16(4), pp. 211–229, 2001. [Crossref]
[4] Escrig, F. & Valcarcel, J.P., Geometry of expandable space bar structures. International Journal of Space Structures, 8(1/2), pp. 71–84, 1993.
[5] Piñero, E.P., Three dimensional reticular structure. U.S. Patent No. 3,185,164, 1965.
[6] Schenk, M. & Guest, S.D., Origami folding: A structural engineering approach. Ori-gami, 5, pp. 291–304, 2011. [Crossref]
[7] Tachi, T., Geometric considerations for the design of rigid origami structures. Proceed-ings of the International Association for Shell and Spatial Structures (IASS) Symposium 2010, Shanghai, pp. 458–460, 2010.
[8] Fuller, R.B., Tensile-integrity structures,” U.S. Patent No. 3,063,521, 1962.
[9] Motro, R., Tensegrity systems: the state of the art. International Journal of Space Struc-tures, 7(2), pp. 75–83, 1992, 1992.
[10] Otto, F., Convertible roofs. Institut for Leightweight Structures, Univ. Stuttgart, IL5, 1971.
[11] McLean, W. & Silver, P., Air Structures, Laurence King Publishing, 2015.
[12] Gantes, C.J., Deployable Structures: Analysis and Design, Southampton: WIT Press, 2001.
[13] You, Z., Sensitivity analysis based on the force method for deployable cable-stiffened structures. Engineering Optimization, 29(1–4), pp. 429–441, 1997. [Crossref]
[14] Gantes, C., Georgiou, P. & Koumousis, V., Optimum design of deployable structures using genetic algorithms. WIT Transactions on the Built Environment, 38, 1998.
[15] Kaveh, A. & Shojaee, S., Discrete-sizing optimal design of scissor-link foldable structures using genetic algorithm. Asian Journal of Civil Engineering (building and housing), 4(2–4), pp. 115–133, 2003. [Crossref]
[16] Kaveh, A. & Shojaee, S., Optimal design of scissor -link foldable structures using ant colony optimization algorithm. Computer- Aided Civil and Infrastructure Engineering, 22(1), pp. 56–64, 2007.
[17] Thrall, A.P., Zhu, M., Guest. J.K., et al., Structural optimization of deploying structures composed of linkages. Journal of Computing in Civil Engineering, 28(3), p. 04014010, 2012. [Crossref]
[18] Dai, L. & Guan, F.L., Shape-sizing nested optimization of deployable structures using SQP. Journal of Central South University, 21(7), pp. 2915–2920, 2014. [Crossref]
[19] Fest, E., Shea, K., Domer, B. & Smith, I.F.C., Adjustable tensegrity structures. Journal of Structural Engineering, 129(4), pp. 515–526, 2003. [Crossref]
[20] Buhl, T., Jensen, F.V. & Pellegrino, S., Shape optimization of cover plates for retract-able roof structures. Computers & Structures, 82(15), pp. 1227–1236, 2004. [Crossref]
[21] Ortega, N.F. & Robles, S.I., Optimization of a telescope movable support structure by means of volumetric displacements. Structural Engineering and Mechanics, 31(4), pp. 393–405, 2009. [Crossref]
[22] Fenci, G.E., Currie, N. & Weekes, L., Biomimetic approach for the creation of a deployable structure based on the blooming of the Morning Glory flower. In Interna-tional Association for Shell and Spatial Structures (IASS) Symposium, Future Visions, Amsterdam, 2015.
[23] Rutten, D., Grasshopper: generative modeling for Rhino (Computer software),” 2007.
[24] Preisinger, C., Linking structure and parametric geometry. Architectural Design, 83(2), pp. 110–113, 2013. [Crossref]
[25] Autodesk Inc, Autodesk Robot Structural Analysis 2016, 2015.
[26] Thornton Tomasetti. “Introducing the Brute Force Solver,” 5 August, 2016, available at: http://core.thorntontomasetti.com/introducing-the-brute-force-solver/
[27] Wolfram Research Inc., “Mathematica,” Version 10.0, Wolfram Research, Inc., 2014.
[28] Fenci, G.E. & Currie, N., Biomimetic approach for the creation of deployable canopies based on the unfolding of a beetle wing and the blooming of a flower. In Conference on Biomimetic and Biohybrid Systems, pp. 101–112, 2015. [Crossref]
Cite this:
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Fenci, G. E. & Currie, N. G. R. (2017). Optimisation of the Deployment Sequence of 2 DoF Systems. Int. J. Comput. Methods Exp. Meas., 5(4), 504-513. https://doi.org/10.2495/CMEM-V5-N4-504-513
G. E. Fenci and N. G. R. Currie, "Optimisation of the Deployment Sequence of 2 DoF Systems," Int. J. Comput. Methods Exp. Meas., vol. 5, no. 4, pp. 504-513, 2017. https://doi.org/10.2495/CMEM-V5-N4-504-513
@research-article{Fenci2017OptimisationOT,
title={Optimisation of the Deployment Sequence of 2 DoF Systems},
author={G.E. Fenci and N.G.R. Currie},
journal={International Journal of Computational Methods and Experimental Measurements},
year={2017},
page={504-513},
doi={https://doi.org/10.2495/CMEM-V5-N4-504-513}
}
G.E. Fenci, et al. "Optimisation of the Deployment Sequence of 2 DoF Systems." International Journal of Computational Methods and Experimental Measurements, v 5, pp 504-513. doi: https://doi.org/10.2495/CMEM-V5-N4-504-513
G.E. Fenci and N.G.R. Currie. "Optimisation of the Deployment Sequence of 2 DoF Systems." International Journal of Computational Methods and Experimental Measurements, 5, (2017): 504-513. doi: https://doi.org/10.2495/CMEM-V5-N4-504-513
FENCI G E， CURRIE N G R. Optimisation of the Deployment Sequence of 2 DoF Systems[J]. International Journal of Computational Methods and Experimental Measurements， 2017， 5(4)： 504-513. https://doi.org/10.2495/CMEM-V5-N4-504-513