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 interval<br />parameters, interval finite element method based on the element, is presented in this paper. The<br />calculations are done on the element basis, hence, the efforts are greatly reduced. In order to illustrate the<br />accuracy of the method, a continuous beam system is given, the results obtained by it are compared with<br />those obtained by Chen and Qiu (1994); in order to demonstrate that the proposed method provides safe<br />bounds for the eigenfrequencies, an undamping spring-mass system, in which the exact interval bounds<br />are known, is given, the results obtained by it are compared with those obtained by Qiu et al. (1999),<br />where the exact interval bounds are given. The numerical results show that the proposed method is<br />effective for estimating the eigenvalue bounds of structures with interval parameters.