Elastic Waves in Pipe Resting on Two-Parameter Foundation

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Abstract:

A method based on Hamiltonian system in complex field is presented in curvilinear coordinates to study elastic waves in pipes of various shapes on two-parameter foundation. The method and its computer program are verified and applied to analyze the axial wave propagation problem of elliptical pipe embedded in foundation. Numerical results show the dispersion changes of varying degree in the presence of foundation and reveal significant influences of the second foundation parameter especially in the low frequency range. The promising and effective way of controlling propagating waves by adjusting the shear ability of foundation is also indicated in the results.

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Periodical:

Advanced Materials Research (Volumes 163-167)

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2857-2861

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December 2010

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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[1] W. Variyart and M.J. Brennan: Smart Materials and Structures Vol. 13(2004), p.126.

Google Scholar

[2] Y. Waki, B.R. Mace and M.J. Brennan: Journal of Sound and Vibration Vol. 323(2009), p.737.

Google Scholar

[3] T. H. Lee, I. H. Choi and K. Y. Jhang: NDT & E International Vol. 41(2008), p.632.

Google Scholar

[4] C. Mei, Journal of Sound and Vibration Vol. 322 (2009), p.29.

Google Scholar

[5] J.N. Sharma and D. Kaur: Applied Mathematical Modeling Vol. 34(2010), p.254.

Google Scholar

[6] Z. Lin and A. Kasai, in: JSCE Proceedings of the eleventh international summer symposium, Tokyo, Japan, Sep. 11, 2009, p.17.

Google Scholar

[7] S. Chucheepsakul and B. Chinnaboon: Computers & Structures Vol. 81(2003), p.2739.

Google Scholar

[8] Z. Feng and D. C. Robert, Journal of Engineering Mechanics Vol. 109(1983), p.1390.

Google Scholar

[9] D.C. Sorensen, R.B. Lehoucq, C. Yang, and K. Maschhoff, ARPACK, (1996) http: /www. caam. rice. edu/software/ARPACK.

Google Scholar

[10] G.J. Kynch and W.A. Green: Journal of Mechanics and Applied Mathematics Vol. 10(1957), p.63.

Google Scholar

[11] W.B. Fraser: Journal of Sound and Vibration Vol. 10 (1969), p.247.

Google Scholar