Non-probabilistic Eigenvalue Problem for Structures with Uncertain Parameters via Interval Analysis
College
Engineering and Computer Science
Department
Ocean and Mechanical Engineering
Document Type
Article
Publication/Event/Conference Title
Chaos Solitons and Fractals
Publication Status
Version of Record
Abstract
In this paper, we present a method for computing upper and lower bounds of natural frequencies of the structures with uncertain parameters. These parameters are unknown except for the fact that they belong to given bounded sets. The set of possible system states can be described by interval matrices. By solving the interval matrix problem, we obtain the bounds on frequencies of the structure. The numerical results demonstrates the efficacy of the method.
First Page
303
Last Page
308
DOI
10.1016/0960-0779(95)00087-9
Publication Date
1-1-1996
Recommended Citation
Qiu, Zhiping; Chen, Suhuan; and Elishakoff, Isaac, "Non-probabilistic Eigenvalue Problem for Structures with Uncertain Parameters via Interval Analysis" (1996). Faculty Scholarship. 536.
https://digitalcommons.fau.edu/faculty_papers/536