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Journal of Shanghai University >

2011 , Vol. 17 >Issue 4: 471 - 479

DOI: https://doi.org/10.3969/j.issn.1007-2861.2011.04.014

Mathematics.Physics and Chemistry

Advances in Parametric Instability of Axially Moving Beams

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

Online published: 2011-08-30

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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

Cite this article

DING Hu1,CHEN Li-qun1,2 . Advances in Parametric Instability of Axially Moving Beams[J]. Journal of Shanghai University, 2011 , 17(4) : 471 -479 . DOI: 10.3969/j.issn.1007-2861.2011.04.014

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