轴向运动梁参数激励振动稳定性研究进展

doi:10.3969/j.issn.1007-2861.2011.04.014

Journal of Shanghai University（Natural Science Edition） ›› 2011, Vol. 17 ›› Issue (4): 471-479.doi: 10.3969/j.issn.1007-2861.2011.04.014

• Mathematics.Physics and Chemistry • Previous Articles Next Articles

Advances in Parametric Instability of Axially Moving Beams

DING Hu1,CHEN Li-qun1,2

(1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
2. College of Sciences, Shanghai University, Shanghai 200444, China)

Online:2011-08-30 Published:2011-08-30

Abstract

Abstract: This paper summarizes the advances in parametric excitation linear vibration of axially moving beams. Different models of axially moving beams in parametric instability investigations are reviewed. Based on viscoelastic constitutive relations, approximate analytical approaches, direct numerical methods, and studies of instability boundary due to parametric resonance of axially moving beams are surveyed. Problems that require further investigation are discussed.

Key words: axially moving beam, instability boundary, parametric resonance, stability

CLC Number:

O 32

DING Hu1,CHEN Li-qun1,2. Advances in Parametric Instability of Axially Moving Beams[J]. Journal of Shanghai University（Natural Science Edition）, 2011, 17(4): 471-479.

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Advances in Parametric Instability of Axially Moving Beams

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