Method for Dynamic Eigenvalues Interval Analysis of Uncertain Structures
Zhang Jianguo,Chen Jianjun,Ma Xiaosong,Hu Taibin
(School of Electromechanical Engineering, Xidian University, Xi’an 710071, China)

Abstract: The uncertain parameters of a structure are described with interval numbers, a generalized eigenvalue interval equation is discussed, and interval stepped dividing method is presented, where the independent uncertain parameters are endowed with the values of a divided interval, and the solution of an uncerta in generalized eigenvalue equation is transformed into the corresponding certain one. The eigenvalue bounds of each order are determined by searching for the ma ximum and minimum in the solutions. Some mathematical examples and the further engineering applications confirm the validity and efficiency of this approach.
Keywords: uncertain structures, generalized eigenvalues, interval analysis, step ped dividing.