Forced vibration analysis of inhomogeneous quasicrystal coating in a thermal environment

The tremendous attention of researchers has been attracted to the unusual properties quasicrystals in coatings. In this paper, exact solutions functionally graded multilayered two-dimensional quasicrystal coating structures a thermal environment are derived for advanced boundary-value problems with mixed boundary conditions. state space method is formulated coupling linear elastic theory that derives equations along thickness direction. supported conditions x- direction and simply y- subjected time-harmonic temperature loadings, which represented by means differential quadrature technique Fourier series expansions, respectively. Traction on both bottom top surfaces free, perfect mechanical contacts between constituents incorporated at internal interfaces. A global propagator matrix, connects field variables interface those whole structure, further completed joint matrices overcome numerical instabilities. Finally, three application examples proposed throw light various effects power law index, frequency, different three-layer structures. present solution can serve as benchmark modeling based methods.