Direct multiscale analysis of stability of an axially accelerating viscoelastic beam

Xiao Dong Yang; Li Qun Chen

Direct multiscale analysis of stability of an axially accelerating viscoelastic beam

Xiao Dong Yang^*
, Li Qun Chen

^*Corresponding author for this work

Shenyang Aerospace University
Shanghai University

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

5 Scopus citations

Abstract

The stability is investigated for transverse vibration of an axially accelerating viscoelastic beam. The method of multiple scales is applied directly to the governing equation, and the solvability condition is derived from eliminating secular terms. Based on the condition, the stability boundaries are obtained in the cases of subharmonic resonance and combination resonance. Numerical examples are presented to show the effects of viscoelastic coefficient on the stability boundaries.

Original language	English
Pages (from-to)	223-226
Number of pages	4
Journal	Zhendong Gongcheng Xuebao/Journal of Vibration Engineering
Volume	18
Issue number	2
State	Published - Jun 2005
Externally published	Yes

Keywords

Beam
Combination resonance
Method of multiple scales
Subharmonic resonance
Viscoelasticity

Cite this

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title = "Direct multiscale analysis of stability of an axially accelerating viscoelastic beam",

abstract = "The stability is investigated for transverse vibration of an axially accelerating viscoelastic beam. The method of multiple scales is applied directly to the governing equation, and the solvability condition is derived from eliminating secular terms. Based on the condition, the stability boundaries are obtained in the cases of subharmonic resonance and combination resonance. Numerical examples are presented to show the effects of viscoelastic coefficient on the stability boundaries.",

keywords = "Beam, Combination resonance, Method of multiple scales, Subharmonic resonance, Viscoelasticity",

author = "Yang, \{Xiao Dong\} and Chen, \{Li Qun\}",

year = "2005",

month = jun,

language = "英语",

volume = "18",

pages = "223--226",

journal = "Zhendong Gongcheng Xuebao/Journal of Vibration Engineering",

issn = "1004-4523",

publisher = "Nanjing University of Aeronautics an Astronautics",

number = "2",

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TY - JOUR

T1 - Direct multiscale analysis of stability of an axially accelerating viscoelastic beam

AU - Yang, Xiao Dong

AU - Chen, Li Qun

PY - 2005/6

Y1 - 2005/6

N2 - The stability is investigated for transverse vibration of an axially accelerating viscoelastic beam. The method of multiple scales is applied directly to the governing equation, and the solvability condition is derived from eliminating secular terms. Based on the condition, the stability boundaries are obtained in the cases of subharmonic resonance and combination resonance. Numerical examples are presented to show the effects of viscoelastic coefficient on the stability boundaries.

AB - The stability is investigated for transverse vibration of an axially accelerating viscoelastic beam. The method of multiple scales is applied directly to the governing equation, and the solvability condition is derived from eliminating secular terms. Based on the condition, the stability boundaries are obtained in the cases of subharmonic resonance and combination resonance. Numerical examples are presented to show the effects of viscoelastic coefficient on the stability boundaries.

KW - Beam

KW - Combination resonance

KW - Method of multiple scales

KW - Subharmonic resonance

KW - Viscoelasticity

UR - https://www.scopus.com/pages/publications/21844448094

M3 - 文章

AN - SCOPUS:21844448094

SN - 1004-4523

VL - 18

SP - 223

EP - 226

JO - Zhendong Gongcheng Xuebao/Journal of Vibration Engineering

JF - Zhendong Gongcheng Xuebao/Journal of Vibration Engineering

IS - 2

ER -

Direct multiscale analysis of stability of an axially accelerating viscoelastic beam

Abstract

Keywords

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