Own Waves iIn an Infinite Viscoelastic Cylindrical Panel from Variable Thickness
- Country : Republic of Uzbekistan
- Subject : Higher mathematics
Abstract
The propagation of natural waves on a viscoelastic cylindrical panel with variable thickness is considered. For the derivation of the shell equations, the principle of possible displacements (the Kirchhoff-Love hypothesis) was used. Using a variational equation and a physical equation, a system consisting of eight differential equations is obtained. After some transformations, a spectral boundary value problem is constructed with respect to complex parameters , For a system of eight ordinary differential equations with respect to complex form functions. The dispersion relation for a cylindrical panel.
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