Application of mathematical theory of interval analysis to uncertain vibrations

Author Type

Faculty

Co-Author Type 1

Faculty

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Conference Proceeding

Publication/Event/Conference Title

Proceedings National Conference on Noise Control Engineering

Publication Status

Version of Record

Abstract

The paper combines, the first time in the literature, the probabilistic method for dealing with stochastic excitation and the mathematical theory of interval analysis to model uncertainty in mass, stiffness and damping parameters. The output of the study is the least favorable response, i.e. the maximum mean square response the system may possess due to uncertainty of the parameters, and the most favorable response, i.e. the minimum mean square response the system may experience during its uncertain vibrations.

First Page

519

Last Page

524

Publication Date

1-1-1994

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