National Repository of Grey Literature 3 records found  Search took 0.01 seconds. 
The derivation of dispersion relations for anisotropic thick plates in system Maple
Červená, Olga ; Hora, Petr
The dispersion relations for cubic and orthotropic thick plates, which were derived in system MAPLE, are summarized in the report. The report contains listings of two programs in Maple. The form of Christoffel equation, forms of its roots and polarizations of partial waves for cubic and orthotropic thick plates are derived in first of them. The forms of dispersion relations of symmetric, anti-symmetric, SH-modes and Mindlin’s uncoupled modes for cubic and orthotropic plates are derived in second program. The report is deal with interpretation of the false roots, which are occurred at computing the dispersion relations. The outcome dispersion curves computing by MATLAB are displayed in the conclusion.
Interpretation of the false roots in the dispersion curves of thick plates
Hora, Petr ; Červená, Olga
This paper deals with the interpretation of the false roots appearing in the numerical computation of thick plate dispersion curves from isotropic or anisotropic materials. The examples of false roots, the reasons of their occurrence, the possibilities of their detection and removing are presented here. Dispersion curves are computed for steel and the unidirectional composite.
Vliv Mindlinových okrajových podmínek na šíření vln v tlusté anizotropní desce
Červená, Olga ; Hora, Petr
This paper deals with analytical formulation of dispersion curves for stress waves in a free (001)-cut cubic and orthotropic plate. The direction of wave propagation is arbitrary. The dispersion curves for Cu and carbon reinforced composite are presented. These results are compared to the uncoupled Mindlin modes. This work is very important for determination of the elastic coefficients of anisotropic materials.

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