Effect of Poisson’s Ratio on Flexural Wave Propagation in Step-Beam

ZHU Zhi-wei; DENG Zi-chen

doi:10.3879/j.issn.1000-0887.2013.03.001

Volume 34 Issue 3

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ZHU Zhi-wei, DENG Zi-chen. Effect of Poisson’s Ratio on Flexural Wave Propagation in Step-Beam[J]. Applied Mathematics and Mechanics, 2013, 34(3): 217-225. doi: 10.3879/j.issn.1000-0887.2013.03.001

Citation:

ZHU Zhi-wei, DENG Zi-chen. Effect of Poisson’s Ratio on Flexural Wave Propagation in Step-Beam[J]. Applied Mathematics and Mechanics, 2013, 34(3): 217-225. doi: 10.3879/j.issn.1000-0887.2013.03.001

Citation:

ZHU Zhi-wei, DENG Zi-chen. Effect of Poisson’s Ratio on Flexural Wave Propagation in Step-Beam[J]. Applied Mathematics and Mechanics, 2013, 34(3): 217-225. doi: 10.3879/j.issn.1000-0887.2013.03.001

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Effect of Poisson’s Ratio on Flexural Wave Propagation in Step-Beam

doi: 10.3879/j.issn.1000-0887.2013.03.001

ZHU Zhi-wei¹,
DENG Zi-chen^1,2

¹Department of Engineering Mechanics, Northwestern Polythechnical University, Xi’an 710072, P.R.China;²State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology, Dalian 116024, P.R.China

Received Date: 2013-01-10
Rev Recd Date: 2013-03-01
Publish Date: 2013-03-15

Abstract

Abstract

The purpose of this study was to investigate the effect of Poisson’s ratio on the flexural wave propagation in stepbeam. The transmission and reflection matrices, based on Timoshenko theory, were derived for the junction of two beams. The results show that the negative Poisson’s ratio has a significant influence on amplitudes and energies of tansmission and reflection propagating waves. Due to the analysis of energy of decaying waves, EulerBernoulli theory sometimes is not valid even in low frequencys.
- step-beam,
- Timoshenko theory,
- flexural wave,
- negative Poisson’s ratio

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References(16)

References

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