Technical Papers
Apr 21, 2020

Two-Scale Topology Optimization of the 3D Plant-Inspired Adaptive Cellular Structures for Morphing Applications

Publication: Journal of Aerospace Engineering
Volume 33, Issue 4

Abstract

A novel two-scale topology optimization method is developed in this work to optimize three-dimensional (3D) plant-inspired fluidic adaptive cellular structures for morphing applications. In this method, the coupled mechanical behaviors of the 3D smart structures with fluidic cells are simulated by extended multiscale finite-element method. Multiscale base functions are constructed through the microscale computation to create the relationship between information of the single cells in the microscale and structural deformation in the macroscale. Furthermore, the 3D structural topology algorithm based on the power-low interpolation approach is combined with the multiscale method to improve the mechanical behaviors of the plant-inspired cellular structures. Consequently, the plant-inspired cellular structures can be designed by the proposed optimization method, in which the distribution of the motor cells is optimized to maximize the structural performance. Then, the smart structures based on fluid actuation of the cells can be optimized to create biomimetic compliant mechanisms, where self-actuated output displacements are set as the design objective. Moreover, the proposed two-scale optimization algorithm is investigated to optimize the number of liquid motor cells in order to minimize the weight of the cellular structure. Numerical examples including the design problems of morphing wings indicated that the two-scale topology optimization method can be effectively used to design the 3D plant-inspired cellular structures.

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Data Availability Statement

All data, models, or code generated or used during the study are available from the corresponding author by request.

Acknowledgments

The supports of this investigation by the National Natural Science Foundation of China (11772083, 11672062), the Fundamental Research Funds for the Central Universities (DUT17LK26), Dalian High Level Talent Innovation Support Program (2015R046), and Aeronautical Science Foundation of China (2017ZA63003) are gratefully acknowledged.

References

Forterre, Y., J. M. Skotheim, J. Dumals, and L. Mahadevan. 2005. “How the Venus flytrap snaps.” Nature 433 (7024): 421–425. https://doi.org/10.1038/nature03185.
Freeman, E., and L. Weiland. 2009. “High energy density nastic materials: Parameters for tailoring active response.” J. Intell. Mater. Syst. Struct. 20 (2): 233–243. https://doi.org/10.1177/1045389X08092276.
Gramüller, B., J. Boblenz, and C. Hühne. 2014. “PACS–Realization of an adaptive concept using pressure actuated cellular structures.” Smart Mater. Struct. 23 (11): 115006. https://doi.org/10.1088/0964-1726/23/11/115006.
Gramüller, B., H. Köke, and C. Hühne. 2015. “Holistic design and implementation of pressure actuated cellular structures.” Smart Mater. Struct. 24 (12): 125027. https://doi.org/10.1088/0964-1726/24/12/125027.
Grigorie, T. L., R. M. Botez, and A. V. Popov. 2015. “How the airfoil shape of a morphing wing is actuated and controlled in a smart way.” J. Aerosp. Eng. 28 (1): 04014043. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000372.
Guiducci, L., P. Fratzl, Y. J. M. Bréchet, and J. W. C. Dunlop. 2014. “Pressurized honeycombs as soft-actuators: A theoretical study.” J. R. Soc. Interface 11 (98): 20140458. https://doi.org/10.1098/rsif.2014.0458.
Huang, X., S. W. Zhou, Y. M. Xie, and Q. Li. 2013. “Topology optimization of microstructures of cellular materials and composites for macrostructures.” Comput. Mater. Sci 67 (Feb): 397–407. https://doi.org/10.1016/j.commatsci.2012.09.018.
Kanouté, P., D. Boso, J. Chaboche, and B. Schrefler. 2009. “Multiscale methods for composites: A review.” Arch. Comput. Methods Eng. 16 (1): 31–75. https://doi.org/10.1007/s11831-008-9028-8.
Li, S., and K. W. Wang. 2016. “Plant-inspired adaptive structures and materials for morphing and actuation: A review.” Bioinspiration Biomimetics 12 (1): 011001. https://doi.org/10.1088/1748-3190/12/1/011001.
Liu, K., and A. Tovar. 2014. “An efficient 3D topology optimization code written in Matlab.” Struct. Multidiscip. Optim. 50 (6): 1175–1196. https://doi.org/10.1007/s00158-014-1107-x.
Luo, Q., and L. Tong. 2013a. “Adaptive pressure-controlled cellular structures for shape morphing. I: Design and analysis.” Smart Mater. Struct. 22 (5): 055014. https://doi.org/10.1088/0964-1726/22/5/055014.
Luo, Q., and L. Tong. 2013b. “Adaptive pressure-controlled cellular structures for shape morphing. II: Numerical and experimental validation.” Smart Mater. Struct. 22 (5): 055015. https://doi.org/10.1088/0964-1726/22/5/055015.
Lv, J., H. Liu, H. Zhang, and L. Liu. 2015. “Multiscale method for geometrical nonlinear analysis of fluid actuated cellular structures with arbitrary polygonal microstructures.” J. Aerosp. Eng. 29 (4): 04015082. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000582.
Lv, J., L. Tang, W. Li, L. Liu, and H. Zhang. 2016. “Topology optimization of adaptive fluid-actuated cellular structures with arbitrary polygonal motor cells.” Smart Mater. Struct. 25 (5): 055021. https://doi.org/10.1088/0964-1726/25/5/055021.
Lv, J., H. W. Zhang, and D. S. Yang. 2013. “Multiscale method for mechanical analysis of heterogeneous materials with polygonal microstructures.” Mech. Mater. 56 (Jan): 38–52. https://doi.org/10.1016/j.mechmat.2012.09.002.
Ma, L., B. F. Rolfe, Q. Yang, and C. Yang. 2011. “The configuration evolution and macroscopic elasticity of fluid-filled closed cell composites: Micromechanics and multiscale homogenization modelling.” Comput. Modell. Eng. Sci. 79 (2): 131–158. https://doi.org/10.3970/cmes.2011.079.131.
Magrini, A., and E. Benini. 2017. “Aerodynamic optimization of a morphing leading edge airfoil with a constant arc length parameterization.” J. Aerosp. Eng. 31 (2): 04017093. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000812.
Matthews, L., V. B. Sundaresan, V. Giurgiutiu, and D. J. Leo. 2006. “Bioenergetics and mechanical actuation analysis with membrane transport experiments for use in biomimetic nastic structures.” J. Mater. Res. 21 (8): 2058–2067. https://doi.org/10.1557/jmr.2006.0250.
Ongaro, F., E. Barbieri, and N. M. Pugno. 2018. “Mechanics of mutable hierarchical composite cellular materials.” Mech. Mater. 124 (Sep): 80–99. https://doi.org/10.1016/j.mechmat.2018.05.006.
Ongaro, F., P. De Falco, E. Barbieri, and N. M. Pugno. 2016. “Mechanics of filled cellular materials.” Mech. Mater. 97 (Jun): 26–47. https://doi.org/10.1016/j.mechmat.2016.01.013.
Pagitz, M., and R. I. Leine. 2017. “Shape optimization of compliant pressure actuated cellular structures.” Int. J. Non Linear Mech. 94 (Sep): 268–280. https://doi.org/10.1016/j.ijnonlinmec.2017.04.009.
Pagitz, M., M. Pagitz, and C. Hühne. 2014. “A modular approach to adaptive structures.” Bioinspiration Biomimetics 9 (4): 046005. https://doi.org/10.1088/1748-3182/9/4/046005.
Poppinga, S., C. Zollfrank, O. Prucker, J. Rühe, A. Menges, T. Cheng, and T. Speck. 2018. “Toward a new generation of smart biomimetic actuators for architecture.” Adv. Mater. 30 (19): 1703653. https://doi.org/10.1002/adma.201703653.
Skotheim, J. M., and L. Mahadevan. 2005. “Physical limits and design principles for plant and fungal movements.” Science 308 (5726): 1308–1310. https://doi.org/10.1126/science.1107976.
Svanberg, K. 1987. “The method of moving asymptotes-a new method for structural optimization.” Int. J. Numer. Methods Eng. 24 (2): 359–373. https://doi.org/10.1002/nme.1620240207.
Vasista, S., J. Riemenschneider, T. Mendrock, and H. P. Monner. 2018. “Pressure-driven morphing devices for 3D shape changes with multiple degrees-of-freedom.” In Proc., ASME Conf. on Smart Materials, Adaptive Structures and Intelligent Systems, 1–11. New York: ASME.
Vasista, S., and L. Tong. 2012. “Design and testing of pressurized cellular planar morphing structures.” AIAA J. 50 (6): 1328–1338. https://doi.org/10.2514/1.J051427.
Vos, R., and R. Barrett. 2011. “Mechanics of pressure-adaptive honeycomb and its application to wing morphing.” Smart Mater. Struct. 20 (9): 094010. https://doi.org/10.1088/0964-1726/20/9/094010.
Vos, R., R. Barrett, and A. Romkes. 2011. “Mechanics of pressure-adaptive honeycomb.” J. Intell. Mater. Syst. Struct. 22 (10): 1041–1055. https://doi.org/10.1177/1045389X11412638.
Xia, L., and P. Breitkopf. 2017. “Recent advances on topology optimization of multiscale nonlinear structures.” Arch. Comput. Methods Eng. 24 (2): 227–249. https://doi.org/10.1007/s11831-016-9170-7.
Zhang, H., J. Lv, and Y. G. Zheng. 2010. “A new multiscale computational method for mechanical analysis of closed liquid cell materials.” Comput. Modell. Eng. Sci. 68 (1): 55–93. https://doi.org/10.3970/cmes.2010.068.055.
Zhang, H. W., and J. Lv. 2011. “Two-scale model for mechanical analysis of nastic materials.” J. Intell. Mater. Syst. Struct. 22 (6): 593–609. https://doi.org/10.1177/1045389X11402705.
Zhang, H. W., and J. Lv. 2012. “A multiscale method for the numerical analysis of active response characterization of 3D nastic structures.” Smart Mater. Struct. 21 (8): 085009. https://doi.org/10.1088/0964-1726/21/8/085009.
Zhang, Y., M. Xiao, H. Li, L. Gao, and S. Chu. 2018. “Multiscale concurrent topology optimization for cellular structures with multiple microstructures based on ordered SIMP interpolation.” Comp. Mater. Sci. 155 (Aug): 74–91. https://doi.org/10.1016/j.commatsci.2018.08.030.

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Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 33Issue 4July 2020

History

Received: Apr 4, 2019
Accepted: Oct 16, 2019
Published online: Apr 21, 2020
Published in print: Jul 1, 2020
Discussion open until: Sep 21, 2020

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Authors

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Associate Professor, Key Laboratory of Advanced Technology for Aerospace Vehicles Liaoning Province, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian Univ. of Technology, Dalian 116024, PR China (corresponding author). ORCID: https://orcid.org/0000-0003-4689-9085. Email: [email protected]
Graduate Student, School of Astronautics, Beihang Univ., Beijing 100191, PR China. Email: [email protected]
Graduate Student, Key Laboratory of Advanced Technology for Aerospace Vehicles Liaoning Province, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian Univ. of Technology, Dalian 116024, PR China. Email: [email protected]
Hongwu Zhang, Ph.D. [email protected]
Professor, Dept. of Engineering Mechanics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian Univ. of Technology, Dalian 116024, PR China. Email: [email protected]

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