Natural frequencies of structures with uncertain but nonrandom parameters
College
Engineering and Computer Science
Department
Ocean and Mechanical Engineering
Document Type
Article
Publication/Event/Conference Title
Journal of Optimization Theory and Applications
Publication Status
Version of Record
Abstract
In this paper, we present a method for computing upper and lower bounds of the natural frequencies of a structure with parameters which are unknown, except for the fact that they belong to given intervals. These parameters are uncertain, yet they are not treated as being random, since no information is available on their probabilistic characteristics. The set of possible states of the system is described by interval matrices. By solving the generalized interval eigenvalue problem, the bounds on the natural frequencies of the structure with interval parameters are evaluated. Numerical results show that the proposed method is extremely effective. © 1995 Plenum Publishing Corporation.
First Page
669
Last Page
683
DOI
10.1007/BF02192164
Publication Date
9-1-1995
Recommended Citation
Qiu, Z. P.; Chen, S. H.; and Elishakoff, I., "Natural frequencies of structures with uncertain but nonrandom parameters" (1995). Faculty Scholarship. 541.
https://digitalcommons.fau.edu/faculty_papers/541