Effect of potential energy variation on the natural frequency of an Euler–Bernoulli cantilever beam under lateral force and compression

B Béri; Gabor Stepan; John Hogan

doi:10.1115/1.4036094

Effect of potential energy variation on the natural frequency of an Euler–Bernoulli cantilever beam under lateral force and compression

B Béri, Gabor Stepan, John Hogan

Department of Engineering Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

5 Citations (Scopus)

Abstract

A cantilever beam is subjected to both lateral force and compression under gravity. By taking into account the potential energy variation of the system, we develop a theoretical result that greatly simplifies the bending vibration frequency calculation in agreement with the experiments.

Original language	English
Article number	051002
Number of pages	8
Journal	Journal of Applied Mechanics
Volume	84
Issue number	5
Early online date	20 Mar 2017
DOIs	https://doi.org/10.1115/1.4036094
Publication status	Published - May 2017

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Engineering Mathematics Research Group

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title = "Effect of potential energy variation on the natural frequency of an Euler–Bernoulli cantilever beam under lateral force and compression",

abstract = "A cantilever beam is subjected to both lateral force and compression under gravity. By taking into account the potential energy variation of the system, we develop a theoretical result that greatly simplifies the bending vibration frequency calculation in agreement with the experiments.",

author = "B B{\'e}ri and Gabor Stepan and John Hogan",

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journal = "Journal of Applied Mechanics",

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AU - Béri, B

AU - Stepan, Gabor

AU - Hogan, John

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N2 - A cantilever beam is subjected to both lateral force and compression under gravity. By taking into account the potential energy variation of the system, we develop a theoretical result that greatly simplifies the bending vibration frequency calculation in agreement with the experiments.

AB - A cantilever beam is subjected to both lateral force and compression under gravity. By taking into account the potential energy variation of the system, we develop a theoretical result that greatly simplifies the bending vibration frequency calculation in agreement with the experiments.

U2 - 10.1115/1.4036094

DO - 10.1115/1.4036094

M3 - Article (Academic Journal)

SN - 0021-8936

VL - 84

JO - Journal of Applied Mechanics

JF - Journal of Applied Mechanics

IS - 5

M1 - 051002

ER -

Effect of potential energy variation on the natural frequency of an Euler–Bernoulli cantilever beam under lateral force and compression

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