Accurate finite difference methods for time-harmonic wave propagation
Journal of Computational Physics
Accuracy in modeling the acoustic wave equation with Chebyshev spectral finite elements
Finite Elements in Analysis and Design
Comparison of High-Accuracy Finite-Difference Methods for Linear Wave Propagation
SIAM Journal on Scientific Computing
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Propagation of in-plane waves in an isotropic panel with a crack
Finite Elements in Analysis and Design
Propagation of in-plane elastic waves in a composite panel
Finite Elements in Analysis and Design
A novel formulation of a spectral plate element for wave propagation in isotropic structures
Finite Elements in Analysis and Design
On some properties of 2D spectral finite elements in problems of wave propagation
Finite Elements in Analysis and Design
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In the presented work various problems related with the accuracy of wave propagation modelling by the use of the Spectral Finite Element Method have been discussed and investigated. The results presented in the current study have been obtained for rod structural elements, however, in the opinion of the authors the general conclusions that can be made based on these results are also valid for other types of structural elements used for wave propagation problems. The paper addresses various numerical aspects influencing appropriate modelling of wave propagation in rod structural elements. The results of numerical simulations obtained by the authors and related with the use of single-mode, two-mode and higher order rod behaviour theories are discussed and studied in details. The influence of such parameters as node distribution within elements, the order of approximation polynomials, inertia matrix diagonalisation, and more, all related with numerical problems concerned with wave propagation in rods have been carefully analysed in terms of their impact on appropriate modelling of the wave propagation phenomena.