An example of a quasi-trapped mode in a weakly non-linear elastic waveguide

Comptes Rendus - Mecanique

Volumn 336, Issue 7, 2008, Pages 553-558

  Kaplunov, Julius ^a   Nolde, Evgeniya ^a  

^a BRUNEL UNIVERSITY   (United Kingdom)

Author keywords

Dynamical systems; Elasticity; Multiple scale; Trapped mode; Weak non linearity

Indexed keywords

VIBRATION ANALYSIS; WAVEGUIDES;

ELASTIC WAVE; TRAPPED WAVE; VIBRATION;

EID: 45849118695     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2008.04.005     Document Type: Article

References (8)

1. Kaplunov J.D., and Sorokin S.V. A simple example of a trapped mode in an unbounded waveguide. JASA 97 (1995) 3898-3899
2. Kaplunov J.D., Rogerson G.A., and Tovstik P.E. Localized vibration in elastic structures with slowly varying thickness. Q. J. Mech. Appl. Math. 58 (2005) 645-664
3. Gridin D., Adamou A.T.I., and Craster R.V. Trapped modes in bent elastic rods. Wave Motion 42 (2005) 352-366
4. Förster C., and Weidl T. Trapped modes for an elastic strip with perturbation of the material properties. Q. J. Mech. Appl. Math. 59 (2006) 399-418
5. Postnova J., and Craster R.V. Trapped modes in topolographically varying elastic waveguides. Wave Motion 44 (2007) 205-221
6. Porter R. Trapped waves in thin elastic plates. Wave Motion 45 (2007) 3-15
7. Indeitsev D.A., and Osipova E.V. Localization of nonlinear waves in elastic bodies with inclusions. Acoustical Phys. 50 (2004) 420-426
8. Nayfeh A.H. Perturbation Methods (1973), John Wiley & Sons, New York