Optimization of infinite orthotropic plates with hypotrochoid cutout under tensile loading using genetic algorithm

Abstract

The effect of geometric discontinuities can be reduced by appropriate choice of parameters affecting the stress distribution around cutout. This is possible if the effective parameters are accurately calculated. In this study, using genetic algorithm, the optimum parameters are introduced in order to achieve the minimum value of stress around cutout. Here, design variables are fiber angle, load angle, aspect ratio of cutout, shape of cutout, rotation angle of cutout, and bluntness parameters. Using the Lekhnitskii’s method, stress distribution around various cutouts is determined. The effect of the aforementioned parameters on the stress values around various shapes of cutouts such as quasi-triangular, quasi-square, and hypotrochoid cutouts is examined. Also, the optimal parameters for each cutout are introduced. The results showed that these parameters have significant effects on stress distribution around the cutouts and the structural load-bearing capacity will increase without changing the type of material if the parameters are correctly chosen.

Keywords

Orthotropic plates genetic algorithm hypotrochoid cutout complex variable method

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