Optimal structural Design Using Initial Value Dependence

It is known that the optimal solution for structural optimization based on the gradient method is affected by the initial value. If better performance is desired, the initial value is varied while searching for a solution, and the final design is determined. In this study, we actively utilize this initial value dependency and attempt to find an optimal shape close to the initial shape that was designed in advance with design in mind. This makes it possible to design structures with excellent aesthetic design. In this paper, we formulate the size, shape, and topology optimization problems of two-dimensional elastic bodies, and apply the derived sensitivity functions to the H1 gradient method to obtain each optimal design variable. We show an example of calculation of initial value dependence, and also show the calculation result of shape optimization design considering aesthetic performance by actively utilizing initial value and shape constraints dependences.