Some symmetry results for optimal solutions in structural optimization
In the present paper, some symmetry results for optimal solutions in structural optimization have been proposed and proven. It is found that under some invariant assumptions, for many structural optimization problems that can be formulated as convex programs, there exists at least one symmetric global optimal solution if the prescribed loading and support conditions are symmetric. Furthermore, for some specific non-convex cases, a weaker result is also presented.
symmetry structural optimization convex programming