Buckling of an elastic beam with added high-frequency excitation

Jakob Søndergaard Jensen

doi:10.1016/S0020-7462(99)00010-4

Buckling of an elastic beam with added high-frequency excitation

Research output: Contribution to journal › Journal article › Research › peer-review

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 language	English
Journal	International Journal of Non-Linear Mechanics
Volume	35
Issue number	2
Pages (from-to)	217-227
ISSN	0020-7462
DOIs	https://doi.org/10.1016/S0020-7462(99)00010-4
Publication status	Published - 2000
Externally published	Yes

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title = "Buckling of an elastic beam with added high-frequency excitation",

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.",

author = "Jensen, {Jakob S{\o}ndergaard}",

year = "2000",

doi = "10.1016/S0020-7462(99)00010-4",

language = "English",

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T1 - Buckling of an elastic beam with added high-frequency excitation

AU - Jensen, Jakob Søndergaard

PY - 2000

Y1 - 2000

N2 - 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.

AB - 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.

U2 - 10.1016/S0020-7462(99)00010-4

DO - 10.1016/S0020-7462(99)00010-4

M3 - Journal article

VL - 35

SP - 217

EP - 227

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

SN - 0020-7462

IS - 2

ER -