Bound states in elastic waveguides
2006 (English)In: PHYSICAL REVIEW E, ISSN 1539-3755, Vol. 74, no 1Article in journal (Refereed) Published
We consider numerically the L-, T-, and X-shaped elastic waveguides with the Dirichlet boundary conditions for in-plane deformations (displacements) which obey the vectorial Navier-Cauchy equation. In the X-shaped waveguide we show the existence of a doubly degenerate bound state with frequency below the first symmetrical cutoff frequency, which belongs to the two-dimensional irreducible representation E of symmetry group C-4v. Moreover the next bound state is below the next antisymmetric cutoff frequency. This bound state belongs to the irreducible representation A(2). The T-shaped waveguide has only one bound state while the L-shaped one has no bound states.
Place, publisher, year, edition, pages
2006. Vol. 74, no 1
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-46004DOI: 10.1103/PhysRevE.74.016201OAI: oai:DiVA.org:liu-46004DiVA: diva2:266900