Fuzzy eigensolutions of mechanical structures

This paper presents an efficient methodology to calculate fuzzy eigenvalues and eigenvectors of finite element structures defined by imprecise parameters. The material and geometric parameters are then described by fuzzy numbers. The proposed methodology, based on α‐cut discretization of fuzzy numbers and Taylor's expansion, determines the extreme eigensolutions for each α‐cut. The study of a finite element model and the comparison of results with a combinatorial approach, based on Zadeh's extension principle, show the efficiency of this methodology.