Interval eigenvalue analysis for structures with interval parameters

Authors:
Su Huan Chen;Hua Dong Lian;Xiao Wei Yang
Affiliations:
Deparment of Mechanics, Nan Ling Campus, Jilin University, Changchum 130025, People's Republic of China;Deparment of Mechanics, Nan Ling Campus, Jilin University, Changchum 130025, People's Republic of China;Department of Applied Mathematics, South China University of Technology, Guangzhou 510640, People's Republic of China
Venue:
Finite Elements in Analysis and Design
Year:
2003

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Abstract

In this paper, a new method to solve the uncertain eigenvalue problem of structures with interval parameters is presented. The expressions of the interval stiffness matrix and interval mass matrix are developed directly from the interval parameters. With matrix perturbation and interval extension theory, the algorithm for interval eigenvalue analysis is discussed. The computations are based on the element level thus simplifying the calculations greatly, while the sharp bounds are guaranteed by the interval operations. Two numerical examples, a box cantilever beam and an automobile frame both with interval parameters, are given to show the validity of the presented method.