Waveguide problems are fundamental to elastic and acoustic wave propagation, where we interested in finding the propagation constants modal patterns of waveguide modes. As is assumed uniform one direction, original 3-D problem can be converted into a so-called 2.5-D by using Fourier transform that direction. However, introduction metamaterials (EMM) broadens horizon this subject, new features r...

We introduce a domain decomposition structure-preserving method based on hybrid mimetic spectral element for three-dimensional linear elasticity problems in curvilinear conforming structured meshes. The is an equilibrium which satisfies pointwise of forces. established through hybridization first allows inter-element normal stress discontinuity and then enforces the continuity using Lagrange mu...

in this article, vibration analysis of an euler-bernoulli beam resting on a pasternak-type foundation is studied. the governing equation is solved by using a spectral finite element model (sfem). the solution involves calculating wave and time responses of the beam. the fast fourier transform function is used for temporal discretization of the governing partial differential equation into a set ...