Development of Finite Element Method for the Early Design of Product with Some Uncertainties

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A method of new FEM( finite element method) analysis for the early design of Truss structure with some uncertain is proposed. In the method, the ranged set of requirement parameters which are stress and displacement are obtained from the ranged set of design parameters which are Young's Modulus and element area by Finch's propagation theory or some local minimum/maximum optimization theories for the monotonic or non-monotonic behavior between design parameters and requirement parameters, respectively. A program for the set-based FEM analysis with these concepts for 2D and 3D Truss structure is developed. The applications of the proposed method are carried out for the realistic structures, including tower structure, dome structure and bridge structure.