An exact solution for the natural frequencies of flexible beams undergoing overall motions

Ali H. Nayfeh; Samir A. Emam; Sergio Preidikman; Dean T. Mook

doi:10.1177/107754603030692

An exact solution for the natural frequencies of flexible beams undergoing overall motions

Ali H. Nayfeh, Samir A. Emam, Sergio Preidikman, Dean T. Mook

Department of Mechanical and Aerospace Engineering

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

We investigate the free vibrations of a flexible beam undergoing an overall two-dimensional motion. The beam is modeled using the Euler-Bernoulli beam theory. An exact solution for the natural frequencies and corresponding mode shapes of the beam is obtained. The model can be extended to beams undergoing three-dimensional motions.

Original language	English
Pages (from-to)	1221-1229
Number of pages	9
Journal	JVC/Journal of Vibration and Control
Volume	9
Issue number	11
DOIs	https://doi.org/10.1177/107754603030692
Publication status	Published - Nov 2003

Keywords

Flexible beams
Linear vibrations
Rigid-body motion

ASJC Scopus subject areas

Automotive Engineering
Materials Science(all)
Aerospace Engineering
Mechanics of Materials
Mechanical Engineering

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10.1177/107754603030692

Cite this

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title = "An exact solution for the natural frequencies of flexible beams undergoing overall motions",

abstract = "We investigate the free vibrations of a flexible beam undergoing an overall two-dimensional motion. The beam is modeled using the Euler-Bernoulli beam theory. An exact solution for the natural frequencies and corresponding mode shapes of the beam is obtained. The model can be extended to beams undergoing three-dimensional motions.",

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author = "Nayfeh, {Ali H.} and Emam, {Samir A.} and Sergio Preidikman and Mook, {Dean T.}",

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AU - Nayfeh, Ali H.

AU - Emam, Samir A.

AU - Preidikman, Sergio

AU - Mook, Dean T.

PY - 2003/11

Y1 - 2003/11

N2 - We investigate the free vibrations of a flexible beam undergoing an overall two-dimensional motion. The beam is modeled using the Euler-Bernoulli beam theory. An exact solution for the natural frequencies and corresponding mode shapes of the beam is obtained. The model can be extended to beams undergoing three-dimensional motions.

AB - We investigate the free vibrations of a flexible beam undergoing an overall two-dimensional motion. The beam is modeled using the Euler-Bernoulli beam theory. An exact solution for the natural frequencies and corresponding mode shapes of the beam is obtained. The model can be extended to beams undergoing three-dimensional motions.

KW - Flexible beams

KW - Linear vibrations

KW - Rigid-body motion

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An exact solution for the natural frequencies of flexible beams undergoing overall motions

Abstract

Keywords

ASJC Scopus subject areas

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