CUMULATIVE SECOND HARMONICS IN A NONLINEAR TRANSVERSELY ISOTROPIC PLATE

被引:0
|
作者
Zhao, Jinling [1 ]
Chillara, Vamshi K. [2 ]
Cho, Hwanjeong [2 ]
Qiu, Jinhao [1 ]
Lissenden, Cliff J. [2 ]
机构
[1] Nanjing Univ Aeronaut & Astronaut, State Key Lab Mech & Control Mech Struct, Nanjing 210016, Jiangsu, Peoples R China
[2] Penn State, Dept Engn Sci & Mech, University Pk, PA 16802 USA
关键词
SURFACE ACOUSTIC-WAVES; DAMAGE DETECTION; SPECTROSCOPY; GENERATION; MODULATION;
D O I
暂无
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The problem of second harmonic guided wave generation in transversely isotropic plates is investigated from a theoretical and numerical standpoint. The strain energy function of transversely isotropic materials is written down using five invariants in terms of the Green-Lagrange strain tensor and contains five linear terms and nine nonlinear terms. Theoretical investigations reveal that second harmonics in a weakly nonlinear transversely isotropic plate are cumulative only when the phase matching and nonzero power flux criteria are satisfied. Also, only cumulative secondary symmetric Lamb wave modes can be generated - a conclusion in line with what is observed for isotropic plates. Finally, numerical simulations are carried out to examine the cumulative second harmonic generation from the S-0 mode and the results obtained are discussed in the light of the theory.
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页数:6
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