Engineering designers often adapt their design structure to the needs of functional requirements independently of the capacity of the designed technical system to offer innovative capacities. Based on the notion of contradiction brought from TRIZ theory (Russian acronym for theory of inventive problem solving), we have developed an approach to reversely build a parametric intelligent structure potentially solving a wide range of inventive problematic situations. The proposed structure relies on an elastic buckling instability. A parametric CAD (Computer-Aided Design) model of the structure was carried out and its behavior is studied with finite element analysis (FEA), driven by a design of experiments (DoE). In this article, a specific method of characterization and multi-objective optimization of the structure is offered. Our objective is to bring a method to allow an engineering designer to solve rapidly and inventively his contradictory requirement in adapting it to the industrial application sought for.