DOI QR코드

DOI QR Code

Optimal laminate sequence of thin-walled composite beams of generic section using evolution strategies

  • Rajasekaran, S. (Department of Infrastructure Engineering, PSG College of Technology)
  • Received : 2008.03.21
  • Accepted : 2009.11.30
  • Published : 2010.03.30

Abstract

A problem formulation and solution methodology for design optimization of laminated thin-walled composite beams of generic section is presented. Objective functions and constraint equations are given in the form of beam stiffness. For two different problems one for open section and the other for closed section, the objective function considered is bending stiffness about x-axis. Depending upon the case, one can consider bending, torsional and axial stiffnesses. The different search and optimization algorithm, known as Evolution Strategies (ES) has been applied to find the optimal fibre orientation of composite laminates. A multi-level optimization approach is also implemented by narrowing down the size of search space for individual design variables in each successive level of optimization process. The numerical results presented demonstrate the computational advantage of the proposed method "Evolution strategies" which become pronounced to solve optimization of thin-walled composite beams of generic section.

Keywords

References

  1. Bhaskar, K. and Librescu, L.A. (1995), "Geometrically non-linear theory for laminated anisotropic thin-walled beams", Int. J. Eng. Sci., 33(9), 1331-1344. https://doi.org/10.1016/0020-7225(94)00118-4
  2. Cai, J. and Thierauf, G. (1993), Discrete Structural Optimization using Evolution Strategies, (Eds. Topping, B.H.V. and Khan, A.I.), Neural Networks and combinatorial in Civil and Structural Engineering. Edinburgh: Civil Comp Ltd.
  3. Coello, C.C.A. (2002), "Theoretical and numerical constraint handling techniques used with evolutionary algorithms: A survey of the state of the art", Comput. Meth. Appl. Mech. Eng., 191, 1245-1287. https://doi.org/10.1016/S0045-7825(01)00323-1
  4. Gjelsvik, A. (1981), The Theory of Thin-walled Bars, Wiley, New York.
  5. Joines, J. and Houck, C. (1994), "On the use of non-stationary penalty functions to solve nonlinear constrained optimization problems with GAs", Proceedings of the First IEEE Conference on Evolutionary Computation, (Ed. Fogel, D.), IEEE Press, Orlando.
  6. Lagaros, N.D., Papadrakakis, M. and Kokossalakis, G. (2002), "Structural optimization using evolutionary algorithms", Comput. Struct., 80, 571-589. https://doi.org/10.1016/S0045-7949(02)00027-5
  7. Maddur, S.S. and Chaturvedi, S.K. (1999), "Laminated composite open profile sections: first order shear deformation theory", Compos. Struct., 45, 104-114.
  8. Morton, S.K. and Webber, J.P.H. (1994), "Optimal design of a composite beam", Compos. Struct., 28, 149-168. https://doi.org/10.1016/0263-8223(94)90045-0
  9. Papadrakakis, M. and Lagaros, N.D. (2002), "Reliability-based structural optimization using Neural Networks and Monte Carlo simulation", Comput. Meth. Appl. Mech. Eng., 191, 3491-3507. https://doi.org/10.1016/S0045-7825(02)00287-6
  10. Papadrakakis, M., Lagaros, N.D. and Tsompanakis, Y. (1998), "Structural optimization using evolution strategies and neural networks", Comput. Meth. Appl. Mech. Eng., 156, 309-333. https://doi.org/10.1016/S0045-7825(97)00215-6
  11. Rajasekaran, S. (2005), "Mechanical properties of thin-walled composite beams of generic open and closed section", Struct. Eng. Mech., 21(5), 591-620. https://doi.org/10.12989/sem.2005.21.5.591
  12. Rajeev, S. and Krishnamoorthy, C.S. (1992), "Discrete optimisation of structures using genetic algorithms", J. Struct. Eng-ASCE, 118(5), 1233-1250. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:5(1233)
  13. Rechenberg, I. (1973), "Evolution strategy: Optimization of technical systems according to the principles of biological evolution", Stuttgart: Frommann-Holzboog. (in German)
  14. Savic, V., Tuttle, M.E. and Zabinsky, Z.B. (2001), "Optimization of composite I-sections using fibre angles as design variables", Compos. Struct., 53, 265-277. https://doi.org/10.1016/S0263-8223(01)00010-1
  15. Schwefel, H.P. (1981), Numerical Optimization for Computer Models, Wiley and Sons, Chichester.
  16. Timoshenko, S.P. (1945), "Theory of bending, torsion and buckling of thin-walled members of open cross section", J. Franklin I., 239(3,4,5), 201-219, 249-268, 343-361. https://doi.org/10.1016/0016-0032(45)90093-7
  17. Vlasov, V.Z. (1961), Thin Walled Elastic Beams, 2nd Edition, Israel Program for Scientific Translation. Jerusalem, Israel.

Cited by

  1. Biomimetic control for redundant and high degree of freedom limb systems: neurobiological modularity vol.7, pp.3, 2010, https://doi.org/10.12989/sss.2011.7.3.169