Nonprobabilistic, convex-theoretic modeling of scatter in material properties

Author Type

Faculty

Co-Author Type 1

Faculty

Co-Author Type 2

Faculty

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

AIAA Journal

Publication Status

Version of Record

Abstract

Nonprobabilistic, convex modeling of uncertain material properties for viscoelastic structures is developed in this paper. In particular, the problem of forced vibrations of viscoelastic beams is studied. First the analytic solution by Inman is generalized for a deterministic set of variables, describing material properties. Next, these variables are treated as varying in a solid “ball” in the four-dimensional space, thus modeling the scatter in material properties. The least favorable response needed for the design of the structure is determined. © 1994 American Institute of Aeronautics and Astronautics, Inc., All rights reserved.

First Page

843

Last Page

849

DOI

10.2514/3.12062

Publication Date

1-1-1994

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