Interaction of guided wave modes in isotropic weakly nonlinear elastic plates: Higher harmonic generation

2012 ◽  
Vol 111 (12) ◽  
pp. 124909 ◽  
Author(s):  
Vamshi Krishna Chillara ◽  
Cliff J. Lissenden
Keyword(s):  
Harmonic Generation ◽  
Guided Wave ◽  
Elastic Plates ◽  
Weakly Nonlinear ◽  
Higher Harmonic Generation ◽  
Higher Harmonic ◽  
Nonlinear Elastic ◽  
Wave Modes

scholarly journals Higher-Harmonic Generation Analysis in Complex Waveguides via a Nonlinear Semianalytical Finite Element Algorithm

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
Claudio Nucera ◽  
Francesco Lanza di Scalea
Keyword(s):  
Finite Element ◽  
Harmonic Generation ◽  
Second Harmonic ◽  
Harmonic Wave ◽  
Guided Wave ◽  
Element Formulation ◽  
Mathematical Framework ◽  
Linear Wave ◽  
Higher Harmonic ◽  
Wave Modes

Propagation of nonlinear guided waves is a very attracting phenomenon for structural health monitoring applications that has received a lot of attention in the last decades. They exhibit very large sensitivity to structural conditions when compared to traditional approaches based on linear wave features. On the other hand, the applicability of this technology is still limited because of the lack of a solid understanding of the complex phenomena involved when dealing with real structures. In fact the mathematical framework governing the nonlinear guided wave propagation becomes extremely challenging in the case of waveguides that are complex in either materials (damping, anisotropy, heterogeneous, etc.) or geometry (multilayers, geometric periodicity, etc.). The present work focuses on the analysis of nonlinear second-harmonic generation in complex waveguides by extending the classical Semianalytical Finite Element formulation to the nonlinear regime, and implementing it into a powerful commercial Finite Element package. Results are presented for the following cases: a railroad track and a viscoelastic plate. For these case-studies optimum combinations of primary wave modes and resonant double-harmonic nonlinear wave modes are identified. Knowledge of such combinations is critical to the implementation of structural monitoring systems for these structures based on higher-harmonic wave generation.

scholarly journals Relativisitcally upshifted higher harmonic generation via relativistic flying mirrors

2018 ◽  
Vol 60 (7) ◽  
pp. 074007 ◽  
Author(s):  
James K Koga ◽  
Sergei V Bulanov ◽  
Timur Zh Esirkepov ◽  
Masaki Kando ◽  
Stepan S Bulanov ◽  
...  
Keyword(s):  
Harmonic Generation ◽  
Higher Harmonic Generation ◽  
Higher Harmonic

scholarly journals Enhanced higher harmonic generation from nodal topology

2020 ◽  
Vol 102 (3) ◽  
Author(s):  
Ching Hua Lee ◽  
Han Hoe Yap ◽  
Tommy Tai ◽  
Gang Xu ◽  
Xiao Zhang ◽  
...  
Keyword(s):  
Harmonic Generation ◽  
Higher Harmonic Generation ◽  
Higher Harmonic

Corrigendum: Relativistically upshifted higher harmonic generation via relativistic flying mirrors (2018 Plasma Phys. Control. Fusion 60 074007)

2018 ◽  
Vol 60 (9) ◽  
pp. 099501
Author(s):  
James K Koga ◽  
Sergei V Bulanov ◽  
Timur Zh Esirkepov ◽  
Masaki Kando ◽  
Stepan S Bulanov ◽  
...  
Keyword(s):  
Harmonic Generation ◽  
Plasma Phys ◽  
Higher Harmonic Generation ◽  
Higher Harmonic ◽  
Control Fusion

Higher harmonic generation: Coupling two radiating elements at two different frequencies

2016 ◽  
Author(s):  
Melusine Pigeon ◽  
Oleksandr Sushko ◽  
Robert Donnan ◽  
Clive Parini ◽  
Rostyslav Dubrovka ◽  
...  
Keyword(s):  
Harmonic Generation ◽  
Higher Harmonic Generation ◽  
Higher Harmonic
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