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

被引：34

作者：

Chillara, Vamshi Krishna ^{[1
]}

Lissenden, Cliff J. ^{[1
]}

机构：

[1] Penn State Univ, Dept Engn Sci & Mech, University Pk, PA 16802 USA

来源：

ULTRASONICS | 2013年 / 53卷 / 04期

关键词：

Nonlinear guided waves; Nonlinear ultrasonics; Second harmonic generation; FINITE-AMPLITUDE WAVES; HARMONIC-GENERATION; ULTRASONIC SECOND; THIRD HARMONICS; ELASTIC PLATES; SOLID PLATE; LAMB WAVES; PROPAGATION; DISLOCATIONS;

D O I：

10.1016/j.ultras.2012.12.007

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

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. (C) 2012 Elsevier B. V. All rights reserved.

引用

页码：862 / 869

页数：8

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