Analysis of second harmonic guided waves in pipes using a large-radius asymptotic approximation for axis-symmetric longitudinal modes

Vamshi Krishna Chillara; Cliff J. Lissenden

doi:10.1016/j.ultras.2012.12.007

Analysis of second harmonic guided waves in pipes using a large-radius asymptotic approximation for axis-symmetric longitudinal modes

Vamshi Krishna Chillara, Cliff J. Lissenden

Engineering Science and Mechanics

Research output: Contribution to journal › Article › peer-review

38 Scopus citations

Abstract

Theoretical formulation for the problem of second harmonic guided waves in pipes is presented from the principles of continuum mechanics. The formulation is carried out in the reference configuration of the pipe with an emphasis on the correct use of the "Divergence" operator in the reference configuration. Second harmonic guided wave generation from axis-symmetric longitudinal guided wave modes is studied. A large radius asymptotic approximation for the wave structures in pipe is studied and an error estimate for the same is obtained. Comparison with the corresponding modes in a plate and the analogy to second harmonic guided wave generation in plates is presented.

Original language	English (US)
Pages (from-to)	862-869
Number of pages	8
Journal	Ultrasonics
Volume	53
Issue number	4
DOIs	https://doi.org/10.1016/j.ultras.2012.12.007
State	Published - Apr 2013

All Science Journal Classification (ASJC) codes

Acoustics and Ultrasonics

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10.1016/j.ultras.2012.12.007

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title = "Analysis of second harmonic guided waves in pipes using a large-radius asymptotic approximation for axis-symmetric longitudinal modes",

abstract = "Theoretical formulation for the problem of second harmonic guided waves in pipes is presented from the principles of continuum mechanics. The formulation is carried out in the reference configuration of the pipe with an emphasis on the correct use of the {"}Divergence{"} operator in the reference configuration. Second harmonic guided wave generation from axis-symmetric longitudinal guided wave modes is studied. A large radius asymptotic approximation for the wave structures in pipe is studied and an error estimate for the same is obtained. Comparison with the corresponding modes in a plate and the analogy to second harmonic guided wave generation in plates is presented.",

author = "Chillara, {Vamshi Krishna} and Lissenden, {Cliff J.}",

note = "Funding Information: This material is based upon work supported by the Nuclear Energy Universities Programs under Award No. 001029146. ",

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AU - Chillara, Vamshi Krishna

AU - Lissenden, Cliff J.

N1 - Funding Information: This material is based upon work supported by the Nuclear Energy Universities Programs under Award No. 001029146.

PY - 2013/4

Y1 - 2013/4

N2 - Theoretical formulation for the problem of second harmonic guided waves in pipes is presented from the principles of continuum mechanics. The formulation is carried out in the reference configuration of the pipe with an emphasis on the correct use of the "Divergence" operator in the reference configuration. Second harmonic guided wave generation from axis-symmetric longitudinal guided wave modes is studied. A large radius asymptotic approximation for the wave structures in pipe is studied and an error estimate for the same is obtained. Comparison with the corresponding modes in a plate and the analogy to second harmonic guided wave generation in plates is presented.

AB - Theoretical formulation for the problem of second harmonic guided waves in pipes is presented from the principles of continuum mechanics. The formulation is carried out in the reference configuration of the pipe with an emphasis on the correct use of the "Divergence" operator in the reference configuration. Second harmonic guided wave generation from axis-symmetric longitudinal guided wave modes is studied. A large radius asymptotic approximation for the wave structures in pipe is studied and an error estimate for the same is obtained. Comparison with the corresponding modes in a plate and the analogy to second harmonic guided wave generation in plates is presented.

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Analysis of second harmonic guided waves in pipes using a large-radius asymptotic approximation for axis-symmetric longitudinal modes

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