Interval finite element method based on the element method based on the element for eigenvaluse analysis of structures with interval parameters

A new method for solving the uncertain eigenvalue problems of the structures with intervalparameters, interval finite element method based on the element, is presented in this paper. Thecalculations are done on the element basis, hence, the efforts are greatly reduced. In order to illustrate theaccuracy of the method, a continuous beam system is given, the results obtained by it are compared withthose obtained by Chen and Qiu (1994); in order to demonstrate that the proposed method provides safebounds for the eigenfrequencies, an undamping spring-mass system, in which the exact interval boundsare known, is given, the results obtained by it are compared with those obtained by Qiu et al. (1999),where the exact interval bounds are given. The numerical results show that the proposed method iseffective for estimating the eigenvalue bounds of structures with interval parameters.