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.

journal_name

Ultrasonics

journal_title

Ultrasonics

authors

Chillara VK,Lissenden CJ

doi

10.1016/j.ultras.2012.12.007

subject

Has Abstract

pub_date

2013-04-01 00:00:00

pages

862-9

issue

4

eissn

0041-624X

issn

1874-9968

pii

S0041-624X(12)00268-5

journal_volume

53

pub_type

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