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On the benefits of applying topology optimization to structural design of aircraft components

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Abstract

To date, topology optimization has proven to be the most beneficial, yet most complex, structural optimization technique available to engineers and scientists. However, particularly in the aerospace industry, there exists little application to real-world design problems, including all the complexities required to ensure that the resulting design complies with the regulations. In this paper, a topology optimization algorithm is developed to solve aerospace design problems. Two problems are considered in this work. The first is the design of an aircraft landing gear. The final topology is compared to a design found using standard engineering practices to show the benefits of topology optimization. The second problem uses the topology optimization methodology to design an aircraft engine mount. The main goal of this paper is to demonstrate that topology optimization can be used to find minimum weight structures to aerospace design problems, using Federal Aviation Regulations to ensure that the resulting designs meet the airworthiness standards of the aviation industry.

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References

  • Airoldi A, Lanzi L (2006) Design of skid landing gears by means of multibody optimization. J Aircr 43 (2):555–563

    Article  Google Scholar 

  • Bendsøe M, Kikuchi N (1988) Generating optimal topologies in structural design using homogenization. Comput Methods Appl Mech Eng 71:197–224

    Article  MathSciNet  MATH  Google Scholar 

  • Bendsøe M, Sigmund O (1999) Material interpolation schemes in topology optimization. Arch Appl Mech 69:635–654

    Article  MATH  Google Scholar 

  • Bendsøe M, Sigmund O (2003) Topology optimization theory methods and applications. Springer, Berlin

    MATH  Google Scholar 

  • Dunning P, Stanford B, Kim H (2015) Coupled aerostructural topology optimization using a level set method for 3D aircraft wings. Struct Multidisc Optim 51:1113–1132

    Article  MathSciNet  Google Scholar 

  • Eschenauer H, Olhoff N (2001) Topology optimization of continuum structures: a review. Appl Mech Rev 54:331–390

    Article  Google Scholar 

  • Eves J, Toropov V, Thompson H, Gaskell P, Doherty J, Harris J (2009) Topology optimization of aircraft with non-conventional configurations. In: Proceedings of the 8th World congress on structural and multidisciplinary optimization. Springer

  • Falzon B, Steven G, Xie Y (1996) Shape optimization of interior cutouts in composite panels. Struct Optim 11(1–2):43–49

    Article  Google Scholar 

  • Garaigordobil A, Ansola R, Santamaría J, Fernández de Bustos I (2018) A new overhang constraint for topology optimization of self-supporting structures in additive manufacturing. Struct Multidiscip Optim 58:2003–2017

    Article  MathSciNet  Google Scholar 

  • Grihon S, Krog L, Bassir D (2009) Numerical optimization applied to structure sizing at AIRBUS: a multi-step process. Int J Simul Multi Des Optim 3:432–442

    Article  Google Scholar 

  • Hearn E (1997) Mechanics of materials 2: an introduction of the mechanics of elastic and plastic deformation of solids and structural materials, 3rd edn. Butterworth–Heinemann, Oxford. chap 5

    Google Scholar 

  • Huang X, Xie Y (2007) Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method. Finite Elem Anal Des 43:1039–1049

    Article  Google Scholar 

  • Huang X, Xie Y (2009) Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials. Comput Mech 43:393–401

    Article  MathSciNet  MATH  Google Scholar 

  • Huang X, Xie Y (2010) Evolutionary topology optimization of continuum structures: methods and applications. Wiley, UK

    Book  MATH  Google Scholar 

  • Jabiru (2014) Technical manual for Jabiru aircraft models: J120 Variants, J160 Variants, J170 Variants, J200/J400 Variants, J230/J430 Variants, J250/J450 Variants. Jabiru Aircraft Pty Ltd., Bundaberg. document No. JTM001-5

    Google Scholar 

  • Jabiru (2016) Maintenance manual for Jabiru 2200 Aircraft Engine and Jabiru 3300 Aircraft Engine. Jabiru Aircraft Pty Ltd., Bundaberg. document No. JEM0002-7

    Google Scholar 

  • Kim H, Querin O, Steven G, Xie Y (2000) A method for varying the number of cavities in an optimized topology using evolutionary structural optimization. Struct Multidiscip Optim 19(2):140–147

    Article  Google Scholar 

  • Krog L, Tucker A, Kemp M, Boyd R (2004) Topology optimization of aircraft wing box ribs. In: Proceedings of the 10th AIAA/ISSMO multidisciplinary analysis and optimization conference. AIAA. https://doi.org/10.2514/6.2004-4481

  • Lee H, Kim Y, Park G, Kolonay R, Blair M, Canfield R (2007) Structural optimization of a joined wing using equivalent static loads. J Aircr 44(4):1302–1308

    Article  Google Scholar 

  • Maute K, Reich G (2006) Integrated multidisciplinary topology optimisation approach to adaptive wing design. J Aircr 43:253–263

    Article  Google Scholar 

  • Morrell B, Munk D, Vio G, Verstraete D (2014) Development of a hypersonic aircraft design optimization tool. Appl Mech Mater 553:847–852

    Article  Google Scholar 

  • Munk D (2018) A bi-directional evolutionary structural optimization algorithm for mass minimization with multiple structural constraints. International Journal for Numerical Methods in Engineering. https://doi.org/10.1002/nme.6005

  • Munk D, Vio G, Steven G (2015) Topology and shape optimization methods using evolutionary algorithms: a review. Struct Multidiscip Optim 52:613–631

    Article  MathSciNet  Google Scholar 

  • Munk D, Verstraete D, Vio G (2017a) Effect of fluid-thermal-structural interactions on the topology optimization of a hypersonic transport aircraft wing. Fluids Struct 75:45–76

    Article  Google Scholar 

  • Munk D, Vio G, Steven G (2017b) A simple alternative formulation for structural optimisation with dynamic and buckling objectives. Struct Multidiscip Optim 55:969–986

    Article  MathSciNet  Google Scholar 

  • Nguyen T, Schonning A, Eason P, Nicholson D (2012) Methods for analyzing nose gear during landing using structural finite element analysis. J Aircr 49(1):275–280

    Article  Google Scholar 

  • Niu M (1988) Airframe structural design. Hong Kong Conmilit Press LTD, Hong Kong

    Google Scholar 

  • Remouchamps A, Bruyneel M, Fleury C, Grihon S (2011) Application of a bi-level scheme including topology optimization to the design of an aircraft pylon. Struct Multidisc Optim 44:739–750

    Article  Google Scholar 

  • Sigmund O, Petersson J (1998) Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima. Struct Optim 16:291–299

    Article  Google Scholar 

  • Stanford B, Dunning P (2015) Optimal topology of aircraft rib and spar structures under aeroelastic loads. J Aircr 52:1298–1311

    Article  Google Scholar 

  • Stanford B, Beran P, Bhatia M (2014) Aeroelastic topology optimization of blade-stiffened panels. J Aircr 51:938–944

    Article  Google Scholar 

  • US Department of Transportation (2018) Federal aviation administration. https://www.faa.gov/

  • van Grouw K (2013) The unfeathered bird. Princeton University Press, Princeton

    Google Scholar 

  • Wang B, Hao P, Li G, Tian K, Du K, Wang X, Zhang X, Tang X (2014) Two-stage size-layout optimization of axially compressed stiffened panels. Struct Multidiscip Optim 50:313–327

    Article  Google Scholar 

  • Wong J, Ryan L, Kim I (2018) Design optimization of aircraft landing gear assembly under dynamic loading. Struct Multidiscip Optim 57(3):1357–1375

    Article  Google Scholar 

  • Xie Y, Steven G (1997) Evolutionary structural optimization. Springer, London

    Book  MATH  Google Scholar 

  • Xue C, Dai J, Wei T, Liu B, Deng Y, Ma J (2012) Structural optimization of a nose landing gear considering its fatigue life. J Aircr 49(1):225–236

    Article  Google Scholar 

  • Yang X, Xie Y, Steven G, Querin O (1999) Bidirectional evolutionary method for stiffness optimization. AIAA J 37:1483–1488

    Article  Google Scholar 

  • Yin Y, Neild S, Jiang J, Knowles J, Nie H (2017) Optimization of a main landing gear locking mechanism using bifurcation analysis. J Aircr 54(6):2126–2139

    Article  Google Scholar 

  • Zhu J (2010) Advanced structural topology optimization and application. In: Proceedings of the ASMDO conference. ASMDO

  • Zhu JH, Zhang WH, Liang X (2016) Topology optimization in aircraft and aerospace structures design. Arch Computat Methods Eng 23:595–622

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. The University of Sydney, Sydney, Australia

    David J. Munk, Douglass J. Auld, Grant P. Steven & Gareth A. Vio

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  1. David J. Munk
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  2. Douglass J. Auld
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  3. Grant P. Steven
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  4. Gareth A. Vio
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Correspondence to David J. Munk.

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Munk, D.J., Auld, D.J., Steven, G.P. et al. On the benefits of applying topology optimization to structural design of aircraft components. Struct Multidisc Optim 60, 1245–1266 (2019). https://doi.org/10.1007/s00158-019-02250-6

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  • DOI: https://doi.org/10.1007/s00158-019-02250-6

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