Critical comparison of exact solutions in random vibration of beams using three versions of Bresse–Timoshenko theory

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

Article

Publication/Event/Conference Title

Probabilistic Engineering Mechanics

Publication Status

Version of Record

Abstract

In this study we deal with random vibrations of uniform Bresse–Timoshenko beams. In contrast with the original version of the Bresse–Timoshenkobeam theory, we utilize two truncated theories which do not contain the fourth order derivative with respect to time. It is shown that in some cases of damping, the mean square responses produced by these two theories coincide, whereas in other cases these quantities differ from each other. Different assumptions are made: - The beam is governed by different proportional damping.- It is subjected to a white noise as external excitation.- Is simply supported at both ends. It is advocated that it is preferable to employ the truncated version that is associated with additional effect of slope inertia, obtainable variationally.

First Page

95

Last Page

108

DOI

10.1016/j.probengmech.2018.06.005

Publication Date

6-1-2018

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