Articles with "legendre polynomial" as a keyword



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Influences of anisotropic fiber-reinforced composite media properties on fundamental guided wave mode behavior: A Legendre polynomial approach

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Published in 2018 at "Aerospace Science and Technology"

DOI: 10.1016/j.ast.2018.04.041

Abstract: Abstract The guided wave technique has been widely used for evaluating different structures. Recently, these acoustic waves have been implemented in non-destructive testing (NDT). Accordingly, these waves make up a set of motivated means for… read more here.

Keywords: composite media; polynomial approach; anisotropic fiber; legendre polynomial ... See more keywords
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Guided waves propagation in anisotropic hollow cylinders by Legendre polynomial solution based on state-vector formalism

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Published in 2019 at "Composite Structures"

DOI: 10.1016/j.compstruct.2018.09.042

Abstract: Abstract A spectral approach was presented in the computation of dispersion curves for the general anisotropic hollow cylinders. The derivation is based on the hybrid method of the state-vector formalism and Legendre polynomials expansion, which… read more here.

Keywords: vector formalism; state vector; hollow cylinders; legendre polynomial ... See more keywords
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A solution method based on Lagrange multipliers and Legendre polynomial series for free vibration analysis of laminated plates sandwiched by two MFC layers

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Published in 2019 at "Journal of Sound and Vibration"

DOI: 10.1016/j.jsv.2019.01.037

Abstract: Abstract In this paper, a new solution approach based on Lagrange multipliers is developed to investigate the free vibrations of rectangular composite plates equipped with piezoelectric layers such as Macro Fiber Composites (MFCs). The piezo-composite… read more here.

Keywords: based lagrange; problem; polynomial series; legendre polynomial ... See more keywords
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Guided wave propagation in functionally graded fractional viscoelastic plates: A quadrature-free Legendre polynomial method

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Published in 2020 at "Mechanics of Advanced Materials and Structures"

DOI: 10.1080/15376494.2020.1860273

Abstract: Compared to the traditional integer-order viscoelastic model, a fractional-order derivative viscoelastic model is shown to be advantageous. A quadrature-free Legendre polynomial method combining th... read more here.

Keywords: legendre polynomial; quadrature free; free legendre; polynomial method ... See more keywords