Buckling of an elastic beam with added high-frequency excitation

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Abstract

A non-linear buckling analysis of an elastic beam subjected to an axial static force and high-frequency axial excitation is performed. A Galerkin beam discretization is applied and the method of direct partition of motion is used to obtain a set of autonomous model equations governing the slow averaged behavior. Adding high-frequency excitation increases the buckling load, but stable buckled equilibria may co-exist with the stabilized straight position. The influence of an imperfection in the system is discussed and so is the effect of modal truncation in the discretization.
Original languageEnglish
JournalInternational Journal of Non-Linear Mechanics
Volume35
Issue number2
Pages (from-to)217-227
ISSN0020-7462
DOIs
Publication statusPublished - 2000
Externally publishedYes

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