Generalized eringen problem: influence of axial force on random vibration response of simply supported beam

Author Type

Outside Researcher

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

Structural Safety

Publication Status

Version of Record

Abstract

The Eringen problem-that of a random vibration of a uniform beam simply supported at its ends-is generalized herewith to include the effect of a deterministic axial loading. The beam is excited by a random transverse load represented by a space- and time-wise ideal white noise. A closed-form solution is obtained for the displacement space-time correlation function at zero time lag. It is shown that as the axial load approaches the Euler buckling level, the random displacement response increases indefinitely. For axial loads below this level, the obtained expressions permit explicit evaluation of probabilistic characteristics of the response. © 1987.

First Page

255

Last Page

265

DOI

10.1016/0167-4730(87)90001-4

Publication Date

1-1-1987

This document is currently not available here.

Share

COinS