Dynamic stability of axially accelerating Timoshenko beam: Averaging method

Xiao Dong Yang; You Qi Tang; Li Qun Chen; C. W. Lim

doi:10.1016/j.euromechsol.2009.07.003

Dynamic stability of axially accelerating Timoshenko beam: Averaging method

Xiao Dong Yang^*
, You Qi Tang
, Li Qun Chen
, C. W. Lim

^*Corresponding author for this work

Shenyang Aerospace University
Shanghai University
City University of Hong Kong

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

72 Scopus citations

Abstract

This study investigates dynamic stability in transverse parametric vibrations of an axially accelerating tensioned beam of Timoshenko model on simple supports. The axial speed is assumed as a harmonic fluctuation about the constant mean speed. The Galerkin method is applied to discretize the governing equation into a finite set of ordinary differential equations. The method of averaging is applied to analyze the instability phenomena caused by subharmonic and combination resonance. Numerical examples demonstrate the effects of the mean axial speed, bending stiffness, rotary inertia and shear modulus on the instability boundaries.

Original language	English
Pages (from-to)	81-90
Number of pages	10
Journal	European Journal of Mechanics, A/Solids
Volume	29
Issue number	1
DOIs	https://doi.org/10.1016/j.euromechsol.2009.07.003
State	Published - Jan 2010
Externally published	Yes

Keywords

Averaging method
Axially moving beam of Timoshenko model
Combination resonance
Dynamic stability
Subharmonic resonance

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10.1016/j.euromechsol.2009.07.003

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title = "Dynamic stability of axially accelerating Timoshenko beam: Averaging method",

abstract = "This study investigates dynamic stability in transverse parametric vibrations of an axially accelerating tensioned beam of Timoshenko model on simple supports. The axial speed is assumed as a harmonic fluctuation about the constant mean speed. The Galerkin method is applied to discretize the governing equation into a finite set of ordinary differential equations. The method of averaging is applied to analyze the instability phenomena caused by subharmonic and combination resonance. Numerical examples demonstrate the effects of the mean axial speed, bending stiffness, rotary inertia and shear modulus on the instability boundaries.",

keywords = "Averaging method, Axially moving beam of Timoshenko model, Combination resonance, Dynamic stability, Subharmonic resonance",

author = "Yang, \{Xiao Dong\} and Tang, \{You Qi\} and Chen, \{Li Qun\} and Lim, \{C. W.\}",

year = "2010",

month = jan,

doi = "10.1016/j.euromechsol.2009.07.003",

language = "英语",

volume = "29",

pages = "81--90",

journal = "European Journal of Mechanics, A/Solids",

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T1 - Dynamic stability of axially accelerating Timoshenko beam

T2 - Averaging method

AU - Yang, Xiao Dong

AU - Tang, You Qi

AU - Chen, Li Qun

AU - Lim, C. W.

PY - 2010/1

Y1 - 2010/1

N2 - This study investigates dynamic stability in transverse parametric vibrations of an axially accelerating tensioned beam of Timoshenko model on simple supports. The axial speed is assumed as a harmonic fluctuation about the constant mean speed. The Galerkin method is applied to discretize the governing equation into a finite set of ordinary differential equations. The method of averaging is applied to analyze the instability phenomena caused by subharmonic and combination resonance. Numerical examples demonstrate the effects of the mean axial speed, bending stiffness, rotary inertia and shear modulus on the instability boundaries.

AB - This study investigates dynamic stability in transverse parametric vibrations of an axially accelerating tensioned beam of Timoshenko model on simple supports. The axial speed is assumed as a harmonic fluctuation about the constant mean speed. The Galerkin method is applied to discretize the governing equation into a finite set of ordinary differential equations. The method of averaging is applied to analyze the instability phenomena caused by subharmonic and combination resonance. Numerical examples demonstrate the effects of the mean axial speed, bending stiffness, rotary inertia and shear modulus on the instability boundaries.

KW - Averaging method

KW - Axially moving beam of Timoshenko model

KW - Combination resonance

KW - Dynamic stability

KW - Subharmonic resonance

UR - https://www.scopus.com/pages/publications/70349453948

U2 - 10.1016/j.euromechsol.2009.07.003

DO - 10.1016/j.euromechsol.2009.07.003

M3 - 文章

AN - SCOPUS:70349453948

SN - 0997-7538

VL - 29

SP - 81

EP - 90

JO - European Journal of Mechanics, A/Solids

JF - European Journal of Mechanics, A/Solids

IS - 1

ER -

Dynamic stability of axially accelerating Timoshenko beam: Averaging method

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Keywords

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