Steady-State Amplitude-Frequency Characteristics of Axially Buckled Beams Under Strong Transverse Excitation

WANG Hao; CHEN Li-qun

doi:10.3879/j.issn.1000-0887.2014.02.006

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WANG Hao, CHEN Li-qun. Steady-State Amplitude-Frequency Characteristics of Axially Buckled Beams Under Strong Transverse Excitation[J]. Applied Mathematics and Mechanics, 2014, 35(2): 181-187. doi: 10.3879/j.issn.1000-0887.2014.02.006

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Steady-State Amplitude-Frequency Characteristics of Axially Buckled Beams Under Strong Transverse Excitation

doi: 10.3879/j.issn.1000-0887.2014.02.006

WANG Hao¹,
CHEN Li-qun^1,2,3

¹Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R.China;²Department of Mechanics, Shanghai University, Shanghai 200444, P.R.China;³Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, P.R.China

Funds: The National Natural Science Foundation of China（11232009）

Received Date: 2013-10-10
Rev Recd Date: 2013-11-28
Publish Date: 2014-02-15

Abstract

Abstract

A nonlinear vibration analysis was conducted to determine the steady-state response of simply-supported viscoelastic axially buckled beams to harmonic base excitation. Based on the 2-order Galerkin truncation of the governing equation, and in the case of strong excitation, the solvability condition was derived with the multiple-scale method in the presence of 1∶2 internal resonance, to analyze the primary strong external resonance. Various jumping phenomena were revealed in the amplitude-frequency characteristic curves, and the effects of related parameters, especially the axial force, on the phenomena were examined.
- nonlinearity,
- viscoelasticity,
- buckled beam,
- forced vibration,
- amplitude-frequency characteristics

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References(10)

References

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