Enhanced deterministic performance of panels using stochastic variations of geometric and material parameters

The effect on structural performance of stochastic variation in material and geometric properties is important for robust design. Knowledge of such effects can be acquired by applying variation patterns to a structure using stochastic fields through a Monte Carlo analysis. The output is post-processed to show the correlation field between the stochastic variation of a structural property and a chosen mechanical response measure. The resulting patterns are used to identify areas most susceptible to variations, as well as areas which have the most potential to increase structural performance by varying the material parameter or geometry. This method is demonstrated on a flat plate and curved panel, by either varying the Young’s modulus, or thickness of the structure to increase the linear buckling load. In both of these variations the average property is set to remain the same as the original structure. Applying the redistribution increased the linear buckling load by 9-42%.