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Multi-objective design optimization of variable ribs composite grid plates

Grid structures are among the most lightweight elements for stiffening the plates and shells or as self-sufficient structures. There are different known grid patterns, which are composed of variable numbers of parallel ribs. Selecting an optimum pattern and geometries for a grid to achieve the minim...

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Bibliographic Details
Published in:Structural and multidisciplinary optimization 2021, Vol.63 (1), p.407-418
Main Authors: Ehsani, Amir, Dalir, Hamid
Format: Article
Language:English
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Summary:Grid structures are among the most lightweight elements for stiffening the plates and shells or as self-sufficient structures. There are different known grid patterns, which are composed of variable numbers of parallel ribs. Selecting an optimum pattern and geometries for a grid to achieve the minimum weight and maximum load-bearing capacity is a challenging procedure for designers. In the current study, a variable ribs model (VRM) is proposed to find the optimum architecture of a grid plate. Therefore, using a genetic algorithm process, a multi-objective optimization is implemented to maximize the axial or shear buckling loads at a minimum possible weight of a grid structure. Eleven geometrical parameters including thickness, width, and the number of ribs as well as the orientation of the grid plate are considered the design variables. The multi-objective optimization is carried out employing the ε-constraint method. The buckling loads are obtained based on the first-order shear deformation plate theory using the Ritz method.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-020-02672-7