Abstract
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.
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All the codes in this study are generated employing MATLAB software. The detailed formulations, corresponding references, and optimization parameters are presented in the paper which allow replicating the results. The full datasets, as well as the written codes, can be available only for academic use from the first author with a reasonable request.
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Ehsani, A., Dalir, H. Multi-objective design optimization of variable ribs composite grid plates. Struct Multidisc Optim 63, 407–418 (2021). https://doi.org/10.1007/s00158-020-02672-7
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DOI: https://doi.org/10.1007/s00158-020-02672-7