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Techniques based on genetic algorithms for large deflection analysis of beams

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Abstract

A couple of non-convex search strategies, based on the genetic algorithm, are suggested and numerically explored in the context of large-deflection analysis of planar, elastic beams. The first of these strategies is based on the stationarity of the energy functional in the equilibrium state and may therefore be considered weak. The second approach, on the other hand, attempts to directly solve the governing differential equation within an optimisation framework and such a solution may be thought of as strong. Several numerical illustrations and verifications with ‘exact’ solutions, if available, are provided

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Authors and Affiliations

  1. Department of Civil Engineering, Indian Institute of Technology, 721 302, Kharagpur, India

    Rajesh Kumar & L. S. Ramachandra

  2. Department of Civil Engineering, Indian Institute of Science, 560 012, Bangalore, India

    D. Roy

Authors
  1. Rajesh Kumar
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  2. L. S. Ramachandra
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  3. D. Roy
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Correspondence to D. Roy.

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Kumar, R., Ramachandra, L.S. & Roy, D. Techniques based on genetic algorithms for large deflection analysis of beams. Sadhana 29, 589–604 (2004). https://doi.org/10.1007/BF02901474

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  • DOI: https://doi.org/10.1007/BF02901474

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