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Technical Briefs

Flexural Vibration Band Gap in a Periodic Fluid-Conveying Pipe System Based on the Timoshenko Beam Theory

[+] Author and Article Information
Dianlong Yu1

Institute of Mechanical Engineering, National University of Defense Technology, Changsha 410073, Chinadianlongyu@nudt.edu.cn

Jihong Wen, Honggang Zhao, Yaozong Liu, Xisen Wen

Institute of Mechanical Engineering, National University of Defense Technology, Changsha 410073, China

1

Corresponding author.

J. Vib. Acoust 133(1), 014502 (Jan 05, 2011) (3 pages) doi:10.1115/1.4001183 History: Received October 02, 2008; Revised September 28, 2009; Published January 05, 2011; Online January 05, 2011

The flexural vibration band gap in a periodic fluid-conveying pipe system is studied based on the Timoshenko beam theory. The band structure of the flexural wave is calculated with a transfer matrix method to investigate the gap frequency range. The effects of the rotary inertia and shear deformation on the gap frequency range are considered. The frequency response of finite periodic pipe is calculated with a finite element method to validate the gap frequency ranges.

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Copyright © 2011 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

The sketch map of a periodic binary pipe

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Figure 2

The band structure of an infinitely long homogeneous epoxy pipe conveying fluid with the different beam theories. The continuous and dashed lines are calculated with the Timoshenko and Euler theories, respectively.

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Figure 3

Band structure of the periodic material pipe with the Timoshenko beam theory. The continuous and dashed lines denote the band structure of the periodic pipe with and without fluid loading, respectively.

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Figure 4

Band structure of the periodic material pipe with the Euler beam theory. The continuous and dashed lines denote the band structure of the periodic pipe with and without fluid loading, respectively.

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Figure 5

Displacement frequency response of the finite periodic pipe

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Figure 6

Fluid pressure frequency response of the finite periodic pipe

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