Comparison of asymptotic method with explicit solutions in random vibration

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

Memoirs on Differential Equations and Mathematical Physics

Publication Status

Version of Record

Abstract

This paper contrasts the exact solutions for the mean-square displacements of a cantilever under random loading with those delivered by asymptotic method. It is shown that probabilistic response evaluated by the latter method may lead to considerable errors: in the case of a beam with viscous damping as much as 100%, and in that of structural damping 188%. A new, closed-form, solution is proposed for a cantilever with Voigt damping. In this case asymptotic method exhibits the maximum error of 312%.

First Page

109

Last Page

121

Publication Date

1-1-2011

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