Modal analysis of second-harmonic generation of shear horizontal modes in an elastic plate

被引：15

作者：

Deng, MX ^{[1
]}

Liu, ZQ

机构：

[1] Logist Engn Univ, Dept Phys, Chongqing 400016, Peoples R China

[2] Tongji Univ, Inst Acoust, Shanghai 200092, Peoples R China

来源：

APPLIED PHYSICS LETTERS | 2002年 / 81卷 / 10期

关键词：

D O I：

10.1063/1.1504878

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

A modal analysis is presented to derive second-harmonic generation of shear horizontal modes in an elastic plate. Under second-order perturbation the second harmonics will generate along with shear horizontal mode propagation due to the bulk elastic nonlinearity of the plate material. The fields of the second harmonics are regarded as superpositions of fields of harmonic frequency Lamb modes. The analysis results show that the field component of harmonic frequency Lamb modes may have a cumulative growth effect as its phase velocity exactly or approximately equals that of shear horizontal modes. The exact solution to the second harmonics is obtained. (C) 2002 American Institute of Physics.

引用

页码：1916 / 1918

页数：3

共 10 条

[1]

Auld B.A., 1973, Acoustic Fields and Waves in Solids

[2]

BREKHOVSKIKH LM, 1992, ACOUSTICS LAYERED 2

[3]

BREKHOVSKIKH LM, 1990, ACOUSTICS LAYERED 1

[4] Cumulative second-harmonic generation accompanying nonlinear shear horizontal mode propagation in a solid plate [J].

Mingxi, Deng .

1998, (84)

[5]

Ginsberg J. H., 1991, REV PROG QUANT NON B, V10B, P1829

[6] Modal analysis of Lamb wave generation in elastic plates by liquid wedge transducers [J].

Jia, X .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1997, 101 (02) :834-842

[7]

JONES GL, 1963, J ACOUST SOC AM, V35

[8] Transfer and Green functions based on modal analysis for Lamb waves generation [J].

Núñez, I ;

Ing, RK ;

Negreira, C ;

Fink, M .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2000, 107 (05) :2370-2378

[9] Nonlinear acoustic applications for material characterization: A review [J].

Zheng, YP ;

Maev, RG ;

Solodov, IY .

CANADIAN JOURNAL OF PHYSICS, 1999, 77 (12) :927-967

[10] NONLINEAR REFLECTION OF BULK ACOUSTIC-WAVES AT AN INTERFACE [J].

ZHOU, S ;

SHUI, Y .

JOURNAL OF APPLIED PHYSICS, 1992, 72 (11) :5070-5080

← 1 →