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Multilevel optimization of composite panels under complex load and boundary conditions

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Abstract

Due to their complexity and large numbers of design variables, aerospace structures, such as aircraft wings, are best optimized using a multi-level process. In addition to simplifying the optimization procedure, such an approach allows a combination of different methods to be used, increasing the efficiency of the analysis. This paper presents a technique based on the usage of exact finite strip software, VICONOPT, with the finite element analysis package, ABAQUS. The computer programme VICONOPT is computationally efficient but provides solutions for a restricted range of geometries and loading conditions. Finite element analysis allows accurate models of structures with complex geometries to be created but is computationally expensive. By combining the two, these limitations are minimised, whilst the strengths of each are exploited. The fundamental principles of this multi-level procedure are demonstrated by optimizing a series of curved composite panels under combined shear and in-plane bending subject to buckling constraints.

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References

  • ABAQUS (2004) ABAQUS© 6.5 User’s Manual. ABAQUS

  • Anderson MS, Kennedy D (1993) Transverse shear deformation in exact buckling and vibration analysis of composite plate assemblies. AIAA J 31(10):1963–1965

    Article  MATH  Google Scholar 

  • Anderson MS, Williams FW, Wright CJ (1983) Buckling and vibration of any prismatic assembly of shear and compression loaded anisotropic plates with an arbitrary supporting structure. Int J Mech Sci 25(8):585–596

    Article  MATH  Google Scholar 

  • Box GEP, Draper NR (1987) Empirical model-building and response surfaces. Wiley

  • Butler R, Williams FW (1992) Optimum design using VICONOPT, a buckling and strength constraint program for prismatic assemblies of anisotropic plates. Comp Struc 43(4):699–708

    Article  Google Scholar 

  • Featherston CA, Watson A (2006) Buckling of optimized curved composite panels under shear and in-plane bending. Compos Sci Technol 66:2878–2894

    Article  Google Scholar 

  • GARTEUR (1997) Final Report of the GARTEUR Action Group on structural optimization SM(AG13). GARTEUR, pp TP078–TP080

  • Hahn BD (1997) Essential MATLAB for scientists and engineers. Arnold, London

    Google Scholar 

  • Kapania RK (1989) A Review on the analysis of laminated shells. ASME J Press Vess Technol 11:88–96

    Google Scholar 

  • Leissa AW (1985) Buckling of laminated composite plates and shell panels. AF Wright Aeronautical Laboratories AFWAL-TR-85-3069

  • McGowan DM, Anderson MS (1997) Development of curved plate elements for the exact buckling analysis of composite plate assemblies including transverse shear effects. 38th AIAA SDM Conference, AIAA-1997-1305

  • Microsoft Corporation (1990) Microsoft Excel Solver: user’s guide

  • Niu MCY (1992) Composite airframe structures: practical design information and data. Conmilit, Hong Kong

    Google Scholar 

  • Plank RJ, Wittrick WH (1974) Buckling under combined loading of thin, flat-walled structures by a complex finite strip method. Int J Num Met Eng 8(2):323–339

    Article  MATH  Google Scholar 

  • Tennyson RC (1975) Buckling of laminated composite cylinders: a review. Composites 17–24

  • Townsend L, Kennedy D (2000) Optimum design of stiffened panels with vibration constraints using response surface modelling. 2nd ASMO UK/ISSMO Conference on Engineering Design Optimization, pp 219–226

  • Watson A, Kennedy D, Williams FW, Featherston CA (2003) Buckling and vibration of stiffened panels or single plates with clamped ends. Adv Struc Eng 6(2):135–144

    Article  Google Scholar 

  • Wittrick WH, Williams FW (1971) A general algorithm for computing natural frequencies of elastic structures. Q J Mech Appl Math 24(3):263–284

    Article  MATH  MathSciNet  Google Scholar 

  • Wittrick WH, Williams FW (1973) An algorithm for computing critical buckling loads of elastic structures. J Struc Mech 1(4):497–518

    Google Scholar 

  • Wittrick WH, Williams FW (1974) Buckling and vibration of anisotropic or isotropic plate assemblies under combined loading. Int J Mech Sci 16(4):209–223

    Article  Google Scholar 

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Correspondence to C. A. Featherston.

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Featherston, C.A., Watson, A. Multilevel optimization of composite panels under complex load and boundary conditions. Struct Multidisc Optim 36, 15–27 (2008). https://doi.org/10.1007/s00158-007-0181-8

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  • DOI: https://doi.org/10.1007/s00158-007-0181-8

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