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Techniques based on genetic algorithms for large deflection analysis of beams
Author(s) -
Rajesh Kumar,
L. S. Ramachandra,
Debasish Roy
Publication year - 2004
Publication title -
sadhana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.268
H-Index - 49
eISSN - 0973-7677
pISSN - 0256-2499
DOI - 10.1007/bf02901474
Subject(s) - deflection (physics) , planar , regular polygon , algorithm , computer science , genetic algorithm , mathematical optimization , mathematics , physics , classical mechanics , geometry , computer graphics (images)
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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